# Ace Your Binomial Probability Tests with Plainmath's Expert Help and Detailed Resources

Recent questions in Binomial probability
ystyrixkzd 2023-03-31

## Write formula for the sequence of -4, 0, 8, 20, 36, 56, 80, where the order of f(x) is 0, 1, 2, 3, 4, 5, 6 respectively

ballar9bod 2023-03-31

## Assume that when adults with smartphones are randomly selected, 54% use them in meetings or classes (based on data from an LG Smartphone survey). If 8 adult smartphone users are randomly selected, find the probability that exactly 6 of them use their smartphones in meetings or classes?

Aydan Hardy 2023-03-31

## A binomial probability experiment is conducted with the given parameters. Compute the probability of x successes in the n independent trials of the experiment.n=20​,p=0.7​,x=19P(19)=

Kelton Rogers 2023-03-30

## In binomial probability distribution, the dependents of standard deviations must includes.a) all of above.b) probability of q.c) probability of p.d) trials.

Tyrell Singleton 2023-02-17

## Which of the following polynomials are binomials? (1) p(x)=x+1 (2) q(x)=x^3+x (3) r(x)=sqrt2+x+x^2 (4) r(u)=u+u^2−2

daliner4jl 2023-02-12

## Find the remainder when ${5}^{99}$ is divided by 8 is

Harold Prince 2023-01-17

## Use the summation formulas to rewrite the expression without the summation notation. Use the result to find the sums for $n=10,100,1000and10,000$.$\sum k=1n\frac{6k\left(k-1\right)}{{n}^{3}}$

Savion Cameron 2022-12-18

## Which polynomial is a quintic binomial?A. ${\mathrm{x}}^{4}-2{\mathrm{x}}^{3}-{\mathrm{x}}^{2}+7\mathrm{x}+11$B. ${\mathrm{x}}^{2}+4\mathrm{x}$C. $3{\mathrm{x}}^{5}+2$D. $5{\mathrm{x}}^{2}-2\mathrm{x}+1$

brojevnids4 2022-12-14

## What is the expansion of ${\left(x-1\right)}^{4}$?

merodavandOU 2022-12-02

## Use the binomial theorem to expand $\left(d-4b{\right)}^{3}$

Layla Fisher 2022-11-24

## Expanding $\left(a+b{\right)}^{\frac{1}{2}}$I was wondering if it's possible to expand $\left(a+b{\right)}^{\frac{1}{2}}$.For example, $\left(a+b{\right)}^{2}={a}^{2}+2ab+{b}^{2}$. But what is the expansion of $\left(a+b{\right)}^{\frac{1}{2}}$? I've learned about binomial theorem but I can't figure it out.

fabler107 2022-11-20

## What is the coefficient of ${x}^{101}{y}^{99}$ in the expansion of $\left(2x-3y{\right)}^{200}$?A. $C\left(200,99\right){2}^{101}\left(3{\right)}^{99}$B. $C\left(200,99\right){2}^{101}\left(-3{\right)}^{99}$C. $P\left(200,99\right){2}^{101}\left(3{\right)}^{99}$D. $P\left(200,99\right){2}^{101}\left(-3{\right)}^{99}$E. $C\left(200,2\right){2}^{101}\left(-3{\right)}^{99}$

odcizit49o 2022-11-15

## A card is drawn and replaced five times from an ordinary deck of 52 cards and the sequence of colors is observed. What is the probability that:a) Five red cards were drawn?b) Five black cards were drawn?c) Three red and two black cards were drawn?d) why is it necessary to replace the cards?My thoughts:a) ${}^{5}{P}_{1}{\left(\frac{26}{52}\right)}^{1}\left(1-p{\right)}^{4}+...{+}^{5}{P}_{5}{\left(\frac{26}{52}\right)}^{5}\left(1-p{\right)}^{0}$b) isn't this the same as part (a) ?c) isn't this the same as asking exactly 5 black or red cards were drawn ?d) not sure about this one.

ajakanvao 2022-11-11

## Differentiate between basic and binomial probabilitySo I saw a question under the topic for Binomial Distributions which asks that what is the probability of making 4 out of 7 free throws where the $P\left(makingafreethrow\right)=0.7$. Why can't the answer be a simple $\left(0.7{\right)}^{4}$? Why would it be $7C4\ast \left(0.7{\right)}^{4}\ast \left(0.3{\right)}^{3}$?

Jonas Huff 2022-11-10

## Relationship between binomial and negative binomial probabilitiesLet X be a negative binomial random variable with parameters r and p, and let Y be a binomial random variable with parameters n and p. Show that $\mathbb{P}\left(X>n\right)=\mathbb{P}\left(YI would like to get an analytic solution. Basically I want to show the following equality mathematically:$\sum _{i=n+1}^{\mathrm{\infty }}\left(\genfrac{}{}{0}{}{i-1}{r-1}\right){p}^{r}\left(1-p{\right)}^{r}=\sum _{i=0}^{r-1}\left(\genfrac{}{}{0}{}{n}{i}\right){p}^{i}\left(1-p{\right)}^{n-i}$

Kamila Frye 2022-10-26