Question - Psychology and Human Behavior A certain elevator in Tampa's tallest office building, 100 North Tampa, is used heavily between 8:00 a.m. and 9:00 a.m. as employees arrive for work. Suppose the number of people who board the elevator on the ground floor going up is a random variable with probability distribution given in the table below.
|
x
|
1
|
2
|
3
|
4
|
5
|
6
|
7
|
8
|
9
|
10
|
11
|
12
|
|
p(x)
|
0.002
|
0.010
|
0.050
|
0.060
|
0.080
|
0.090
|
0.100
|
0.120
|
0.140
|
0.150
|
0.150
|
0.048
|
a. Find μ, σ2, and σ.
b. For a randomly selected elevator ride from the ground floor going up, what is the probability that the number of riders is within one standard deviation of the mean?
c. For two randomly selected elevator rides from the ground floor going up, what is the probability that both trips have a number of riders more than two standard deviations from the mean?