Data 3

1.Create Binomial Probability Experiment.Recall that this means the experiment must have n independent success/failure trials with the probability of success (p) and failure (q) the same each time .

* IMPORTANT:Make sure you choose a scenario where n*p and n*q are BOTH at least 10.Just adjust your number of trials high enough so that this happens.

a. (20 pts) Describe your scenario here.Define aBinomial Random Variable X.

Make sure you clearly define what a success is, and what n, p , and q are for your scenario.

b. ( 10 pts) Illustrate your scenario, either by a photo, original art, clip art , or any other illustration .

( 10 pts) c.Use Statcrunch to find the probability that at least 1/3 of your trials result in a success if your value of p is less than or equal to .5.

Use Statcrunch to find the probability that at least 2/3 of your trials result in a success if your value of p is greater than.5 .

For example , ifn= 100 and p = .6 , you would find P(X>= 67 ) .Round up if

n *1/3 orn * 2/3 is nota whole number.

(10 pts) d.Compute the mean and standard deviation for your scenario by hand using formulasnp and sqrt( npq),