SOLUTION: The ages of a group of executives attending a con-
vention are uniformly distributed between 35 and 65
years. If the random variable X denotes ages in years,
the probability den
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-> SOLUTION: The ages of a group of executives attending a con-
vention are uniformly distributed between 35 and 65
years. If the random variable X denotes ages in years,
the probability den
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Question 1172800: The ages of a group of executives attending a con-
vention are uniformly distributed between 35 and 65
years. If the random variable X denotes ages in years,
the probability density function is as follows:
f(x) =
f1/30 for 35 < < 65
for all other values of x
a. Graph the probability density function for X.
b. Find and graph the cumulative distribution func-
tion for X.
c. Find the probability that the age of a randomly
chosen executive in this group is between 40 and
50 years.
d. Find the mean age of the executives in the group. Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website!
-
the ordinate is at 1/30.
-
-CDF is F(x)=(x-35)/30 for 35 <= x
-
Probability between 40 and 50 is 10, the difference divided by 35, or 2/7.
-mean age is (a+b)/2=100/2=50
