A Student at University of Toronto has applied for a scholarship. The student is wait- ing to receive a letter by mail to indicate whether he got accepted or rejected for the scholarship. The letter would arrive next week any day from Wednesday to Friday. The student has estimated the conditional probabilities of getting the letter given acceptance or rejection as seen in the below table: Day P(day|accepted) P(day|rejected)
A Student at University of Toronto has applied for a scholarship. The student is wait- ing to receive a letter by mail to indicate whether he got accepted or rejected for the scholarship. The letter would arrive next week any day from Wednesday to Friday. The student has estimated the conditional probabilities of getting the letter given acceptance or rejection as seen in the below table: Day P(day|accepted) P(day|rejected)
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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Transcribed Image Text:A Student at University of Toronto has applied for a scholarship. The student is wait-
ing to receive a letter by mail to indicate whether he got accepted or rejected for the
scholarship. The letter would arrive next week any day from Wednesday to Friday. The
student has estimated the conditional probabilities of getting the letter given acceptance
or rejection as seen in the below table:
P(day|accepted) | P(day|rejected)
Day
Wednesday
Thursday
Friday
0.45
0.3
0.35
0.3
0.20
0.4
The student also assumes that the probability of getting accepted for the scholarship is
0.65. Answer the following questions, based on the given information:
(a) What is the probability that the student gets the letter on Thursday?
(b) What is the probability that the student gets the letter on Thursday,
given that it was not received on Wednesday?
(c) What is the probability that the student gets the letter on Friday, given
that it was not received on Wednesday and was not received on Thursday as well?
(d) What is the probability that the student gets accepted if the letter is
received on Friday?
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