[Distributions, 28 points) Identify the distribution and give a symbolic mathema

Question

[Distributions, 28 points) Identify the distribution and give a symbolic mathematical or Excel expression for the indicated probability. (You need not evaluate.] 1. a. 19% of all biology majors apply to graduate school in the biological science (excluding the health professions). What is the probability that out of 137 current SHU biology seniors, at most 27 have applied? b. A prospective couple are sampling possible wines for the wedding reception, with a 38% chance they will pick any given wine (at which point they will stop sampling). How likely is it that they will pick the 4th wine sampled? on St. Patrick's Night, 18.2% of all drivers stopped are ticketed for DUI, what is the c, probability that a police officer will give his 4th ticket to the 21st driver stopped? d. If new approved applications for Apple devices are released at the rate of 0.086 per day, what is the probability that between 20 and 30 will be released next (non-leap) year? e. The SHU college library has ordered 23 books from one supplier, 14 of which are in computer science. It receives a box of 10 books. Assuming each set of 10 books is equally A certain group of military veterans with PTSD suffer severe nightmares at the rate of 0.15 her 5th such nightmare before the end of a treatment period of 40 days? randomly selected startup will last at least three years? likely, what is the probability that the box includes at least 5 computer science books? per day. What is the probability that a randomly selected veteran from this group suffers New technology startups fail at a rate of 1.2% per month. What is the probability that a f. g.

Explanation / Answer

Question 2

(a) Binomial distribution n = 137, p = 0.19

To evaluate = Pr(X 27) = BIN ( X 27; 137 ; 0.19)

(b) Geometric Distribution p = 0.38

To evaluate = Pr (X =4) = GEO (X = 4; 0.38)

(c) Negative Binomial Distribution

To evaluate = Pr(k = 4 ; n = 21)

(d) Poission distribution = 0.086 per day

To evaluate = Pr(20 X 30; 1/0.086 )

(e) Hypergeometric distribution where N = 23, K = 14, n = 10

To evalaue = Pr(X 5 ; 10; 14; 23)

(f) Geometric Distribution

To evalaue = Pr(X = 40; 0.15)

(g) Expoeential Distribution

To evalaue = Pr( t > 3 years)

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