Q1) Length of Colorado brook trout is normally distributed.

Determine the probability that brook trout's length,

i) Exceeds the mean?

ii) Exceeds the mean by at least 1 standard deviation

iii) Exceeds the mean by at least 2 standard deviations

iv) Is within 2 standard deviations

 Q2) Fracture strength of certain type of manufactured glass is normally distributed with mean of 579 MPa with standard deviation of 14 MPa.

What is the probability that a randomly chosen sample of glass will break at,

i) Less than 579 MPa?

ii) More than 590 Mpa?

iii) Less than 600 MPa?

Q3) Determine each uniform continuous probability.

a) P(X<10)FORU(0,50)

b) P(X>500)FORU(0,1,000)

c) P(25

Q4) Determine standard normal area for each of the following: Standard normal area

a) P(1.22 < Z < 2.15)

b) P(2.00 < Z < 3.00)

c) P(-2.00 < Z < 2.00)

d) P(Z > 0.50)

Requirement 1:

Determine credit score which defines the upper 5 percent.

Requirement2:

75 % of customers will have a credit score higher than what value?

Requirement 3:

Within what range would middle 80 percent of credit score lie?