MathsGee Answers - Recent questions tagged binomial
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Powered by Question2AnswerCalculation practice for the binomial distribution. Find $P(X=2), P(X<2), P(X>2)$ when
https://mathsgee.com/29063/calculation-practice-the-binomial-distribution-find-when
Calculation practice for the binomial distribution. Find $P(X=2), P(X<2), P(X>2)$ when<br />
<br />
(a) $n=4, p=0.2$;<br />
(b) $n=8, p=0.1$;<br />
(c) $n=16, p=0.05$;<br />
(d) $n=64, p=0.0125$.Data Science & Statisticshttps://mathsgee.com/29063/calculation-practice-the-binomial-distribution-find-whenSun, 30 May 2021 00:59:50 +0000How do I multiply fractions?
https://mathsgee.com/28424/how-do-i-multiply-fractions
How do I multiply fractions?Mathematicshttps://mathsgee.com/28424/how-do-i-multiply-fractionsThu, 20 May 2021 03:03:03 +0000Use the binomial theorem to expand
https://mathsgee.com/27872/use-the-binomial-theorem-to-expand
Use binomial theorem<br />
$$<br />
\begin{aligned}<br />
(a+b)^{n} &=\left(\begin{array}{c}<br />
n \\<br />
0<br />
\end{array}\right) a^{n}+\left(\begin{array}{c}<br />
n \\<br />
1<br />
\end{array}\right) a^{n-1} b+\ldots+\left(\begin{array}{c}<br />
n \\<br />
n-1<br />
\end{array}\right) a b^{n-1}+\left(\begin{array}{l}<br />
n \\<br />
n<br />
\end{array}\right) b^{n} \\<br />
&=\sum_{k=0}^{n}\left(\begin{array}{l}<br />
n \\<br />
k<br />
\end{array}\right) a^{n-k} b^{k}<br />
\end{aligned}<br />
$$<br />
to expand<br />
(a) $(1+\sqrt{3} i)^{2011}$;<br />
$$<br />
\text { (b) }(1+\sqrt{3} i)^{-2011} \text { . }<br />
$$Mathematicshttps://mathsgee.com/27872/use-the-binomial-theorem-to-expandMon, 10 May 2021 06:12:02 +0000What is the general procedure for factorizing a trinomial?
https://mathsgee.com/25503/what-is-the-general-procedure-for-factorizing-a-trinomial
What is the general procedure for factorizing a trinomial?Mathematicshttps://mathsgee.com/25503/what-is-the-general-procedure-for-factorizing-a-trinomialFri, 26 Mar 2021 00:58:39 +0000How do I factorize a quadratic trinomial?
https://mathsgee.com/25501/how-do-i-factorize-a-quadratic-trinomial
How do I factorize a quadratic trinomial?Mathematicshttps://mathsgee.com/25501/how-do-i-factorize-a-quadratic-trinomialFri, 26 Mar 2021 00:54:56 +0000How do I multiply a binomial and a trinomial?
https://mathsgee.com/25493/how-do-i-multiply-a-binomial-and-a-trinomial
How do I multiply a binomial and a trinomial?Mathematicshttps://mathsgee.com/25493/how-do-i-multiply-a-binomial-and-a-trinomialFri, 26 Mar 2021 00:28:02 +0000How do you multiply two binomials $(ax+b)(cx+d)$?
https://mathsgee.com/25489/how-do-you-multiply-two-binomials-ax-b-cx-d
How do you multiply two binomials $(ax+b)(cx+d)$?Mathematicshttps://mathsgee.com/25489/how-do-you-multiply-two-binomials-ax-b-cx-dFri, 26 Mar 2021 00:23:26 +0000How do you multiply a monomial and a binomial?
https://mathsgee.com/25487/how-do-you-multiply-a-monomial-and-a-binomial
How do you multiply a monomial and a binomial?Mathematicshttps://mathsgee.com/25487/how-do-you-multiply-a-monomial-and-a-binomialFri, 26 Mar 2021 00:21:04 +0000What is a continuous random variable?
https://mathsgee.com/10693/what-is-a-continuous-random-variable
What is a continuous random variable?Data Science & Statisticshttps://mathsgee.com/10693/what-is-a-continuous-random-variableFri, 15 May 2020 05:43:58 +0000What are the effects of n and p on shape of a binomial distribution?
https://mathsgee.com/10691/what-are-the-effects-of-and-on-shape-of-binomial-distribution
What are the effects of n and p on shape of a binomial distribution?Data Science & Statisticshttps://mathsgee.com/10691/what-are-the-effects-of-and-on-shape-of-binomial-distributionFri, 15 May 2020 05:41:27 +0000What are the mean and variance of a binomial random variable?
https://mathsgee.com/10689/what-are-the-mean-and-variance-of-a-binomial-random-variable
What are the mean and variance of a binomial random variable?Data Science & Statisticshttps://mathsgee.com/10689/what-are-the-mean-and-variance-of-a-binomial-random-variableFri, 15 May 2020 05:37:50 +0000What are cumulative binomial probabilities?
https://mathsgee.com/10687/what-are-cumulative-binomial-probabilities
What are cumulative binomial probabilities?Data Science & Statisticshttps://mathsgee.com/10687/what-are-cumulative-binomial-probabilitiesFri, 15 May 2020 05:32:16 +0000When is a discrete random variable X a binomial random variable ?
https://mathsgee.com/10683/when-is-discrete-random-variable-binomial-random-variable
When is a discrete random variable X a binomial random variable ?Data Science & Statisticshttps://mathsgee.com/10683/when-is-discrete-random-variable-binomial-random-variableFri, 15 May 2020 05:26:29 +0000Calculate the fourth term of $(x^2-y^2)^{11}$
https://mathsgee.com/10442/calculate-the-fourth-term-of-x-2-y-2-11
Calculate the fourth term of $(x^2-y^2)^{11}$Mathematicshttps://mathsgee.com/10442/calculate-the-fourth-term-of-x-2-y-2-11Mon, 11 May 2020 20:58:44 +0000Expand $\left(x^{1/2} - 2y^{1/3}\right)^4$ using the binomial theorem
https://mathsgee.com/10441/expand-left-x-1-2-2y-1-3-right-4-using-the-binomial-theorem
Expand $\left(x^{1/2} - 2y^{1/3}\right)^4$ using the binomial theoremMathematicshttps://mathsgee.com/10441/expand-left-x-1-2-2y-1-3-right-4-using-the-binomial-theoremMon, 11 May 2020 20:57:44 +0000Expand $\left(x^2+\dfrac{y}{2}\right)^3$ using the binomial theorem
https://mathsgee.com/10440/expand-left-x-2-dfrac-y-2-right-3-using-the-binomial-theorem
Expand $\left(x^2+\dfrac{y}{2}\right)^3$ using the binomial theoremMathematicshttps://mathsgee.com/10440/expand-left-x-2-dfrac-y-2-right-3-using-the-binomial-theoremMon, 11 May 2020 20:56:19 +0000Expand $(3x+y)^5$ using the binomial theorem
https://mathsgee.com/10439/expand-3x-y-5-using-the-binomial-theorem
Expand $(3x+y)^5$ using the binomial theoremMathematicshttps://mathsgee.com/10439/expand-3x-y-5-using-the-binomial-theoremMon, 11 May 2020 20:55:17 +0000Find the first three terms in the binomial expansion of $(8-3x)^{\frac{1}{3}}$. Simplify each term.
https://mathsgee.com/10421/find-first-three-terms-binomial-expansion-frac-simplify-each
Find the first three terms in the binomial expansion of $(8-3x)^{\frac{1}{3}}$. Simplify each term.Mathematicshttps://mathsgee.com/10421/find-first-three-terms-binomial-expansion-frac-simplify-eachMon, 11 May 2020 20:25:26 +0000Find the first four terms in the binomial expansion $(1-y^{-1})^{17}$. Simplify each term
https://mathsgee.com/10402/find-first-four-terms-binomial-expansion-simplify-each-term
Find the first four terms in the binomial expansion $(1-y^{-1})^{17}$. Simplify each termMathematicshttps://mathsgee.com/10402/find-first-four-terms-binomial-expansion-simplify-each-termMon, 11 May 2020 19:53:02 +0000Use the binomial theorem to expand $(x^2+3x)^4$ and simplify each term
https://mathsgee.com/10384/use-the-binomial-theorem-to-expand-3x-and-simplify-each-term
Use the binomial theorem to expand $(x^2+3x)^4$ and simplify each termMathematicshttps://mathsgee.com/10384/use-the-binomial-theorem-to-expand-3x-and-simplify-each-termMon, 11 May 2020 19:19:07 +0000State the Binomial Theorem
https://mathsgee.com/10382/state-the-binomial-theorem
State the Binomial TheoremMathematicshttps://mathsgee.com/10382/state-the-binomial-theoremMon, 11 May 2020 19:14:46 +0000Find the first three terms in the binomial expansion of $\left(x - \dfrac{2}{x}\right)^5$.
https://mathsgee.com/10359/find-first-three-terms-binomial-expansion-left-dfrac-right
Find the first three terms in the binomial expansion of $\left(x - \dfrac{2}{x}\right)^5$.Mathematicshttps://mathsgee.com/10359/find-first-three-terms-binomial-expansion-left-dfrac-rightMon, 11 May 2020 18:23:51 +0000What is The Generalized Binomial Theorem?
https://mathsgee.com/8309/what-is-the-generalized-binomial-theorem
What is The Generalized Binomial Theorem?Mathematicshttps://mathsgee.com/8309/what-is-the-generalized-binomial-theoremSat, 25 Apr 2020 18:37:12 +0000WHat are Binomial Identities?
https://mathsgee.com/8262/what-are-binomial-identities
WHat are Binomial Identities?Mathematicshttps://mathsgee.com/8262/what-are-binomial-identitiesSat, 25 Apr 2020 17:56:29 +0000Is it true that $\forall n,k \in \mathbb{N}$, the number of k-element subsets of an n-element set is ...
https://mathsgee.com/8261/true-that-forall-mathbb-the-number-element-subsets-element
Is it true that $\forall n,k \in \mathbb{N}$, the number of k-element subsets of an n-element set is \begin{gather*} \binom{n}{k} = \frac{n!}{k!(n-k)!} = \frac{n(n-1)(n-2) ... (n-k+1)}{k!} \end{gather*}Mathematicshttps://mathsgee.com/8261/true-that-forall-mathbb-the-number-element-subsets-elementSat, 25 Apr 2020 17:55:51 +0000Solve for $y$: $y^3 - 3y^2 - 16y - 12 = 0$
https://mathsgee.com/4514/solve-for-y-y-3-3y-2-16y-12-0
Solve for $y$: $y^3 - 3y^2 - 16y - 12 = 0$Mathematicshttps://mathsgee.com/4514/solve-for-y-y-3-3y-2-16y-12-0Sun, 22 Sep 2019 20:27:29 +0000Solve $6x^3 - 5x^2 -17x + 6 = 0$
https://mathsgee.com/4511/solve-6x-3-5x-2-17x-6-0
Solve $6x^3 - 5x^2 -17x + 6 = 0$Mathematicshttps://mathsgee.com/4511/solve-6x-3-5x-2-17x-6-0Sun, 22 Sep 2019 20:25:22 +0000Use the Factor Theorem to determine all the factors of the following expression $x^3 + x^2 - 17x + 15$
https://mathsgee.com/4509/use-factor-theorem-determine-factors-following-expression
Use the Factor Theorem to determine all the factors of the following expression $x^3 + x^2 - 17x + 15$Mathematicshttps://mathsgee.com/4509/use-factor-theorem-determine-factors-following-expressionSun, 22 Sep 2019 20:23:40 +0000Use the factor theorem to factorise $x^3-3x^2+4$ completely.
https://mathsgee.com/4508/use-the-factor-theorem-to-factorise-x-3-3x-2-4-completely
Use the factor theorem to factorise $x^3-3x^2+4$ completely.Mathematicshttps://mathsgee.com/4508/use-the-factor-theorem-to-factorise-x-3-3x-2-4-completelySun, 22 Sep 2019 20:22:46 +0000Using the Factor Theorem, verify that $y + 4$ is a factor of $g(y) = 5y^4 + 16y^3 - 15y^2 + 8y + 16$
https://mathsgee.com/4505/using-the-factor-theorem-verify-that-is-factor-g-16y-15y-16
Using the Factor Theorem, verify that $y + 4$ is a factor of $g(y) = 5y^4 + 16y^3 - 15y^2 + 8y + 16$Mathematicshttps://mathsgee.com/4505/using-the-factor-theorem-verify-that-is-factor-g-16y-15y-16Sun, 22 Sep 2019 20:20:06 +0000Use the Factor Theorem to determine whether $y-1$ is a factor of $f(y) = 2y^4+3y^2-5y + 7$.
https://mathsgee.com/4504/use-the-factor-theorem-determine-whether-factor-f-2y-3y-5y-7
Use the Factor Theorem to determine whether $y-1$ is a factor of $f(y) = 2y^4+3y^2-5y + 7$.Mathematicshttps://mathsgee.com/4504/use-the-factor-theorem-determine-whether-factor-f-2y-3y-5y-7Sun, 22 Sep 2019 20:19:23 +0000Is it true that $(x + y)^4 = x^4 + \mathbf{4}x^3y + \mathbf{6}x^2y^2 + \mathbf{4}xy^3 + y^4$?
https://mathsgee.com/4379/is-it-true-that-x-y-4-x-4-mathbf-4-3y-mathbf-6-x-2y-2-mathbf-4-xy-3-4
Is it true that $(x + y)^4 = x^4 + \mathbf{4}x^3y + \mathbf{6}x^2y^2 + \mathbf{4}xy^3 + y^4$?Mathematicshttps://mathsgee.com/4379/is-it-true-that-x-y-4-x-4-mathbf-4-3y-mathbf-6-x-2y-2-mathbf-4-xy-3-4Sat, 21 Sep 2019 23:12:35 +0000Is it true that $(x + y)^2 = x^2 + \mathbf{2}xy + y^2$?
https://mathsgee.com/4378/is-it-true-that-x-y-2-x-2-mathbf-2-xy-y-2
Is it true that $(x + y)^2 = x^2 + \mathbf{2}xy + y^2$?Mathematicshttps://mathsgee.com/4378/is-it-true-that-x-y-2-x-2-mathbf-2-xy-y-2Sat, 21 Sep 2019 23:11:44 +0000What is the Binomial Theorem used for in mathematics?
https://mathsgee.com/4377/what-is-the-binomial-theorem-used-for-in-mathematics
What is the Binomial Theorem used for in mathematics?<br />
<br />
<br />
<br />
$(x+y)^n=\sum_{k=0}^n \binom{n}{k}x^ky^{n-k}$Mathematicshttps://mathsgee.com/4377/what-is-the-binomial-theorem-used-for-in-mathematicsSat, 21 Sep 2019 23:09:36 +0000What is the average nearest neighbour?
https://mathsgee.com/2264/what-is-the-average-nearest-neighbour
What is the average nearest neighbour?Data Science & Statisticshttps://mathsgee.com/2264/what-is-the-average-nearest-neighbourMon, 26 Aug 2019 06:39:14 +0000What is a statistical distribution?
https://mathsgee.com/2117/what-is-a-statistical-distribution
What is a statistical distribution?Data Science & Statisticshttps://mathsgee.com/2117/what-is-a-statistical-distributionMon, 12 Aug 2019 09:00:51 +0000What are the differences between normal distribution and binomial distribution?
https://mathsgee.com/2062/differences-between-distribution-binomial-distribution
What are the differences between normal distribution and binomial distribution?Data Science & Statisticshttps://mathsgee.com/2062/differences-between-distribution-binomial-distributionMon, 12 Aug 2019 06:34:51 +0000What is the formula of finding the standard deviation of a binomial distribution?
https://mathsgee.com/2060/formula-finding-standard-deviation-binomial-distribution
What is the formula of finding the standard deviation of a binomial distribution?Data Science & Statisticshttps://mathsgee.com/2060/formula-finding-standard-deviation-binomial-distributionMon, 12 Aug 2019 06:34:00 +0000What is the formula of finding the average (mean) of a binomial distribution?
https://mathsgee.com/2059/what-the-formula-finding-average-mean-binomial-distribution
What is the formula of finding the average (mean) of a binomial distribution?Data Science & Statisticshttps://mathsgee.com/2059/what-the-formula-finding-average-mean-binomial-distributionMon, 12 Aug 2019 06:33:31 +0000Emily hits 60% of her free throws in basketball games.
https://mathsgee.com/296/emily-hits-60-of-her-free-throws-in-basketball-games
<p>Emily hits 60% of her free throws in basketball games. She had 25 free throws in last week’s game. Use this information to answer the next two questions.</p>
<ol>
<li>What is the average number of hits? (Hint: Expected value is given by n times p)</li>
<li>What is the standard deviation of Emily’s hit ? (Hint: The standard deviation is $\sqrt{npq}$)</li>
</ol>
Data Science & Statisticshttps://mathsgee.com/296/emily-hits-60-of-her-free-throws-in-basketball-gamesWed, 06 Mar 2019 00:39:39 +0000