Problem - Marketing and Consumer Behavior While the temperature range of most household ovens is approximately 200-600oF, most consumers only use four or five common settings. Suppose the probability distribution for the oven-temperature setting for a randomly selected use is given in the table below.
|
x
|
300
|
325
|
350
|
375
|
400
|
500
|
|
p(x)
|
0.040
|
0.205
|
0.400
|
0.075
|
0.200
|
0.080
|
a. Find the mean, variance, and standard deviation of the oven temperature settings.
b. Suppose three different uses are randomly selected. Find the probability that the temperature settings for all three are at least 400oF.
c. Suppose three different uses are randomly selected. Find the probability that exactly one use is for 350oF.