The cycle time for trucks hauling concrete to a highway construction site is uniformly distributed over the interval 50 to 70 minutes.
a. what is the probability that a given cycle time will be less than 65 minutes?
b. what is the probability that the cycle time is less than 65 minutes if it is known that the cycle time exceeds 55 minutes?
c. find the mean and variance of the cycle time for the trucks.

a) 0.75

b) 0.5

c) Mean = 60 minutes

Standard Deviation = 5.77 minutes    

Step-by-step explanation:

We are given the following information in the question:

The cycle time for trucks hauling concrete to a highway construction site is uniformly distributed over the interval 50 to 70 minutes.

a = 50, b = 70

We are given a uniform distribution.

a) P(cycle time will be less than 65 minutes)

P( x < 65)

b) P(cycle time is less than 65 minutes if it is known that the cycle time exceeds 55 minutes)

P( 55 < x < 65)

c) Mean:

Standard Deviation:

no association

step-by-step explanation:

if you have eyes and you can use them efficiently you can see that it just looks like random dots like do a line of best fit and like they're so spread out it's such a weak association you might as well consider it nonexistent

3

step-by-step explanation:

divide 13.5 by 9 to get the scale factor. it equals 1.5

2 * 1.5 = 3