 # 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

## Probability using binomial distributionA probability that a manufactured device has 3% or more deffects is $p=0.02$. If a company buys 5 devices, what is the probability that at least one has 3% or more defects.I am thinking using binomial distribution to find probabilities that 1, 2, 3, 4 or all 5 devices are defective. So$P\left(A\right)=\left(\genfrac{}{}{0}{}{5}{1}\right)p\left(1-p{\right)}^{4}+\left(\genfrac{}{}{0}{}{5}{2}\right){p}^{2}\left(1-p{\right)}^{3}+\left(\genfrac{}{}{0}{}{5}{3}\right){p}^{3}\left(1-p{\right)}^{2}+\left(\genfrac{}{}{0}{}{5}{4}\right){p}^{4}\left(1-p\right)+\left(\genfrac{}{}{0}{}{5}{5}\right){p}^{5}$Is this a correct approach or there is an easier way to solve the problem? Aden Lambert 2022-11-03

## 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

## Binomial probabilities in a production processScrews are made in a production process where the probability of any one screw being defective is constant at $p=0.1$ i.e. 10% of screws produced are defective.Screws are placed in bags of 15 at the end of the process. At various intervals a bag is checked and the process is stopped if more than 3 screws in that bag are found to be defective.I am trying to answer the question "What is the probability that there will be sufficient defective screws to stop the process?".I am using a sum of binomial probabilities and have calculated the answer to be 0.0555. Does this appear correct? JetssheetaDumcb 2022-10-22

## Prove that $\sum _{k=0}^{m}\frac{\left(\genfrac{}{}{0}{}{m}{k}\right)}{\left(\genfrac{}{}{0}{}{n}{k}\right)}=\frac{n+1}{n+1-m}$ rancuri5a 2022-10-02 Elena Marquez 2022-10-02