The <em><u>correct answers</u></em> are:
A) yes; B) 0.0059; C) 0.0059; D) 1; E) 0.9872.
Explanation:
A) A binomial experiment is one in which the experiment consists of identical trials; each trial results in one of two outcomes, called success and failure; the probability of success
remains the same from trial to trial; and the trials are independent.
All of these criteria fit this experiment.
B) The formula for the probability of a binomial experiment is:

where n is the number of trials, r is the number of successes, and p is the probability of success.
In this problem, p = 0.9.
For part B, n = 100 and r = 97:

C) We are changing the probability of success this time. Since 90% of people <em>have </em>had chicken pox, then 100%-90% = 1-0.9 = 0.1 have <em>not</em> had chicken pox. For part C, n = 100, r = 3, and p = 0.1:

D) For this part, we want to know the probability that <em>at least</em> 1 person has contracted chicken pox. For this part, p = 0.9, n = 10 and r = 0. We will then subtract this from 1; this will first give us the probability that none of the 10 contracted chicken pox, then subtracting from 1 means that 1 or more people did:

E) For this part, we find the probability that 3 people, 2 people, 1 person and 0 people have not had chicken pox. The probability p = 0.1; n = 10; and r = 3, 2, 1 and 0, respectively:
