HW 7 (1) [Compatibility Mode] a- Search in Document Home Insert Design Layout Re
ID: 3339148 • Letter: H
Question
HW 7 (1) [Compatibility Mode] a- Search in Document Home Insert Design Layout References Mailings Review View Share AaBbCcDd AaBbCcDc AaBbCcDdEe Paste B I Heading1Hesding 2 Title Styles ane Sublite A representative from the National Football League's Marketing Division person who attended the last home football game. Let p, the probability that a person has attended the last home football game, equals 0.20. And, let X denote randomly selects people on a random street until he finds a the number of people he selects until he finds his first success. a) What is the probability that the marketing representative must select 4 people before he finds one who attended the last home football game? b) What is the probability that the marketing representative must select more than 4 people before he finds one who attended the last home football game? c) How many people should he expects to select before he finds one who attended the last home football game? Page 1 of 1 130 of 130 Words English (US) Focus 150%Explanation / Answer
p = 0.2
This is geometric distribution
P(X = x) = 0.8x-1 * 0.2
a) P(X = 4) = 0.83 * 0.2 = 0.1024
b) P(X > 4) = 1 - [P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)]
= 1 - [0.2 + 0.8 * 0.2 + 0.82 * 0.2 + 0.83 * 0.2]
= 1 - 0.5904
= 0.4096
c) Expected value = 1/p = 1/ 0.2 = 5
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.