2) Based on previous data, a probability distribution was constructed to use probability that a certain soccer team scores a certain number of goals. Let X is the number of goals scored in a game: 0. 1 3 4 P(X) 0.18 0.34 0.35 0.02 a) Find the value of the missing cell in the probability distribution. b) Find the expected number of appearance defects. Interpret your answer. Find the standard deviation. Interpret your answer.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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4) In Toronto, Canada, 55% of people pass the drivers' road test. Suppose that 100 people
take the test.
a) What is the number of people who are expected to pass?
b) What is the standard deviation for the number expected to pass?
c) What is the probability that less than 50 passed?
d) What is the probability that at least 49 passed?
e) What is the probability that at most 45 passed?
Transcribed Image Text:4) In Toronto, Canada, 55% of people pass the drivers' road test. Suppose that 100 people take the test. a) What is the number of people who are expected to pass? b) What is the standard deviation for the number expected to pass? c) What is the probability that less than 50 passed? d) What is the probability that at least 49 passed? e) What is the probability that at most 45 passed?
2) Based on previous data, a probability distribution was constructed to use probability that
a certain soccer team scores a certain number of goals. Let X is the number of goals
scored in a game:
1
3
P(X)
0.18
0.34
0.35
0.02
a) Find the value of the missing cell in the probability distribution.
b) Find the expected number of appearance defects. Interpret your answer.
c) Find the standard deviation. Interpret your answer.
Transcribed Image Text:2) Based on previous data, a probability distribution was constructed to use probability that a certain soccer team scores a certain number of goals. Let X is the number of goals scored in a game: 1 3 P(X) 0.18 0.34 0.35 0.02 a) Find the value of the missing cell in the probability distribution. b) Find the expected number of appearance defects. Interpret your answer. c) Find the standard deviation. Interpret your answer.
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