Problem 1 A fitness center bought a new exercise machine called the Mountain Climber. They decided to keep track of how many people used the machine over a 7-hour period. The table below, shows the probability distribution for r, the number of people who used the machine. 5 10 0.15 0.4 0.2 0.05 0.1 (x) | 0.1 a) Construct a probability histogram for p(x). b) Calculate the mean, variance, and standard deviation. c) What is the probability that at least 8 people will use the new machine?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Problem 1
A fitness center bought a new exercise machine called the Mountain Climber. They decided to
keep track of how many people used the machine over a 7-hour period. The table below, shows the
probability distribution for r, the number of people who used the machine.
6 7
8
9.
10
0.15
0.4
0.2 0.05 0.1
a) Construct a probability histogram for p(r).
b) Calculate the mean, variance, and standard deviation.
c) What is the probability that at least 8 people will use the new machine?
Transcribed Image Text:Problem 1 A fitness center bought a new exercise machine called the Mountain Climber. They decided to keep track of how many people used the machine over a 7-hour period. The table below, shows the probability distribution for r, the number of people who used the machine. 6 7 8 9. 10 0.15 0.4 0.2 0.05 0.1 a) Construct a probability histogram for p(r). b) Calculate the mean, variance, and standard deviation. c) What is the probability that at least 8 people will use the new machine?
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