Advertisement Remove all ads

# The time ( in minutes) for a lab assistant to prepare the equipment for a certain experiment is a random variable X taking values between 25 and 35 minutes with p.d.f - Mathematics and Statistics

Advertisement Remove all ads
Advertisement Remove all ads
Advertisement Remove all ads
Sum

The time ( in minutes) for a lab assistant to prepare the equipment for a certain experiment is a random variable X taking values between 25 and 35 minutes with p.d.f

f(x)=1/10,25<=x<=35=0

 =0    "otherwise"

Wat is the probability that preparation time exceeds 33 minutes? Also find the c.d.f. of X.

Advertisement Remove all ads

#### Solution

P(x>=33)=int_33^35 1/10 dx

=int_33^35 1/10 "dx"

= 35/10 - 33/10

=2/10

=1/5

probability that preparation time exceeds 33 minutes  =  1/5

F(x)-int_25^x 1/10 dx

= int_25^x  x/10 "dx"

=(x - 25)/10

Concept: Probability Distribution - Probability Density Function (P.D.F.)
Is there an error in this question or solution?

#### Video TutorialsVIEW ALL [1]

Advertisement Remove all ads
Share
Notifications

View all notifications

Forgot password?