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?

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