Let X be a random number between 0 and 40 A Find the probabi

Let X be a random number between 0 and 40.

A. Find the probability that X lies between 1 and 19

B. Find the probability that X lies between 17 and 22

C. Find the probability that X is less than 21.

D. Find the probability that X is greater than 16.

Solution

X follows uniform distribution

A)

P(1<X < 19)

= P(X < 19) - P(X <1)

= 19 -0/40 -0 - 1 -0 /40-0

= 19/40 - 1/40

= 18/40 = 9/20

B)

P(17 <x < 22)

= 5/40

c)

P(X<21) = 21/40

d)

P(X >16) = 40-16/40 = 24/40