Find the probability that he will arrive on time at school. b. If he arrived on time at school today, what is the probability that he caught the 7am bus?

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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Dave catches a bus to school. If he catches the 7am bus, then he will arrive at school
on time with probability 0.95. If he misses the 7am bus, then he will arrive on time at
school with probability 0.1. Suppose the probability of him catching the 7am bus is
0.8.
a. Find the probability that he will arrive on time at school.
b. If he arrived on time at school today, what is the probability that he caught the
7am bus?

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