Question

x P(X=x) 10 0.1 20 0.15 30 0.2 40 50 0.15 60 0.15 The incomplete table...

x P(X=x)
10 0.1
20 0.15
30 0.2
40
50 0.15
60 0.15
The incomplete table at right is a discrete random variable x's probability distribution, where x is the number of people who will enter a retail clothing store on Saturday. Answer the following:
(a) Determine the value that is missing in the table.
(b) Explain the meaning of P(x < 40) as it applies to the context of this problem.
(c) Determine the value of P(x > 40):
(d) Find the probability that x is at least 30.
(e) Expand the table to the right and find the mean (expected value) and standard deviation of this probability distribution.
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