Question 1
A study of college students stated that 25% of all college students have at least one tattoo. In a random sample of 80 college students, let x be the number of the students that have at least one tattoo. Find the mean and standard deviation for this binomial distribution.
◦ Mean = 80, Standard Deviation = 15
◦ Mean = 20, Standard Deviation = 15
◦ Mean = 80, Standard Deviation = 3.87
◦ Mean = 20, Standard Deviation = 3.87
Question 2
It is against the law to discriminate against job applicants because of race, religion, sex, or age. Of the individuals who apply for an accountant's position in a large corporation, 39% are over 45 years old. If the company decides to choose 96 of a very large number of applicants for closer credential screening, claiming that the selection will be random and not age-biased, what is the
associated with fewer than 46 of those chosen being over 45 years old? (Assume that the applicant pool is large enough so that
x, the number in the sample over 45 years old, has a binomial probability distribution.)
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