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
Algebra.Com
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
RELATED QUESTIONS
The ages of students in an elementary school building are uniformly distributed between 5 (answered by ewatrrr)
The incomes of junior executives in a... (answered by Boreal)
The ages of staff computers are uniformly distributed from 6 months (.5 years) to 4.5... (answered by ewatrrr)
the ages of a group of 50 women are approximately normally distributed with a mean of 48... (answered by ewatrrr)
the weights of a certain vegetable are uniformly distributed between 5.0 and 16.0 ounces. (answered by stanbon)
The waiting times between a subway departure schedule and the arrival of a passenger are... (answered by ikleyn)
The waiting times between a subway departure schedule and the arrival of a passenger are... (answered by Edwin McCravy)
Answer each of the following questions as concisely as possible. Show all necessary... (answered by solver91311)
The Nielsen Company reported that children between the ages of 2 and 5 watch an average... (answered by stanbon)