David is selling raffle tickets from door to door to raise money for charity. To reach his daily fundraising goal, he needs to sell 10 tickets. He observes that, on average, an occupant in one in every three houses he visits will buy a ticket. a) Find the probability that on a given day he reaches his daily goal after visiting exactly 35 houses. b) In one month, David worked on 20 days, and met his daily goal on each day. Estimate the probability that the average number of houses he visited per day was 35 or fewer.

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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David is selling raffle tickets from door to door to raise money for charity. To reach his daily
fundraising goal, he needs to sell 10 tickets. He observes that, on average, an occupant in one in
every three houses he visits will buy a ticket.
a) Find the probability that on a given day he reaches his daily goal after visiting exactly 35 houses.
b) In one month, David worked on 20 days, and met his daily goal on each day. Estimate the
probability that the average number of houses he visited per day was 35 or fewer.
Transcribed Image Text:David is selling raffle tickets from door to door to raise money for charity. To reach his daily fundraising goal, he needs to sell 10 tickets. He observes that, on average, an occupant in one in every three houses he visits will buy a ticket. a) Find the probability that on a given day he reaches his daily goal after visiting exactly 35 houses. b) In one month, David worked on 20 days, and met his daily goal on each day. Estimate the probability that the average number of houses he visited per day was 35 or fewer.
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