2. Suppose that 70% of students attend a 9:00 am course. Of these students, 80% have a course at 10:00. Suppose 60% of students have a course at 10:00. Let A Event that student has a course at 9:00, and B= Event that student has a course at 10:00 a. Find the probability a student has a class at 9:00. b. Find the probability a student has a class at 10:00. c. Find the probability a student has a class at 10:00, given that they have a class at 9:00. d. Find the probability that a student has a class at 9:00 and a class at 10:00. e. Is having a class at 9:00 and having a class at 10:00 independent? Justify answer. t. Is having a class at 9:00 and having a class at 10.00 mutually exclusive? Justify answer.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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please answer all questions A-H
5:27
2. Suppose that 70% of students attend a 9:00 am course. Of these students, 80% have a course at
10:00. Suppose 60% of students have a course at 10:00.
Let A= Event that student has a course at 9:00, and B= Event that student has a course at 10:00
a. Find the probability a student has a class at 9:00.
b. Find the probability a student has a class at 10:00.
c. Find the probability a student has a class at 10:00, given that they have a class at 9:00.
d. Find the probability that a student has a class at 9:00 and a class at 10:00.
e. Is having a class at 9:00 and having a class at 10:00 independent? Justify answer.
f. Is having a class at 9:00 and having a class at 10:00 mutually exclusive? Justify answer.
Transcribed Image Text:5:27 2. Suppose that 70% of students attend a 9:00 am course. Of these students, 80% have a course at 10:00. Suppose 60% of students have a course at 10:00. Let A= Event that student has a course at 9:00, and B= Event that student has a course at 10:00 a. Find the probability a student has a class at 9:00. b. Find the probability a student has a class at 10:00. c. Find the probability a student has a class at 10:00, given that they have a class at 9:00. d. Find the probability that a student has a class at 9:00 and a class at 10:00. e. Is having a class at 9:00 and having a class at 10:00 independent? Justify answer. f. Is having a class at 9:00 and having a class at 10:00 mutually exclusive? Justify answer.
g. What is the probability a student has a class at 9:00, given that they have a class at 10:00?
h. What is the probability a student has a class at 9:00 or a class at 10:00.
Transcribed Image Text:g. What is the probability a student has a class at 9:00, given that they have a class at 10:00? h. What is the probability a student has a class at 9:00 or a class at 10:00.
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