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You are looking for a student at your college who lives within 10 kilometers from you. You recall that 70% of the students live within 10 kilometers from you. You randomly contact students from the university until one says he or she lives within 10 kilometers from you. Assume that there are an infinite number of students you can contact at your college. (Round your answer to 4 decimal places) (a) What is the probability that you needed to contact exactly four people to find the first one who lives within 10 kilometers from you? Please define the random variable and write down the probability function. (b) What is the probability that you have to contact at least 3 people to find the first one who lives within 10 kilometers from you? (c) Suppose every person you call will pick up their phone and answer your question. Also, suppose that each call lasts 30 seconds. Calculate the expected time you will spend on the phone as well as its standard deviation.

You are looking for a student at your college who lives within 10 kilometers from you. You recall that 70% of the students live within 10 kilometers from you. You randomly contact students from the university until one says he or she lives within 10 kilometers from you. Assume that there are an infinite number of students you can contact at your college. (Round your answer to 4 decimal places) (a) What is the probability that you needed to contact exactly four people to find the first one who lives within 10 kilometers from you? Please define the random variable and write down the probability function. (b) What is the probability that you have to contact at least 3 people to find the first one who lives within 10 kilometers from you? (c) Suppose every person you call will pick up their phone and answer your question. Also, suppose that each call lasts 30 seconds. Calculate the expected time you will spend on the phone as well as its standard deviation.

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Question 4 You are looking for a student at your college who lives within 10 kilometers from you. You recall that 70% of the students live within 10 kilometers from you. You randomly contact students from the university until one says he or she lives within 10 kilometers from you. Assume that there are an infinite mumber of students you can contact at your college. (Round your answer to 4 decimal places) (a) What is the probability that you needed to contact exactly four people to find the first one who lives within 10 kilometers from you? Please define the random variable and write down the probability function. (b) What is the probability that you have to contact at least 3 people to find the first one who lives within 10 kilometers from you? (c) Suppose every person you call will pick up their phone and answer your question. Also, suppose that each call lasts 30 seconds. Calculate the expected time you will spend on the phone as well as its standard deviation.
Transcribed Image Text:Question 4 You are looking for a student at your college who lives within 10 kilometers from you. You recall that 70% of the students live within 10 kilometers from you. You randomly contact students from the university until one says he or she lives within 10 kilometers from you. Assume that there are an infinite mumber of students you can contact at your college. (Round your answer to 4 decimal places) (a) What is the probability that you needed to contact exactly four people to find the first one who lives within 10 kilometers from you? Please define the random variable and write down the probability function. (b) What is the probability that you have to contact at least 3 people to find the first one who lives within 10 kilometers from you? (c) Suppose every person you call will pick up their phone and answer your question. Also, suppose that each call lasts 30 seconds. Calculate the expected time you will spend on the phone as well as its standard deviation.
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