1)Answer the following:

a.	Find theuniform continuous probability for P(X < 19) for U(0, 50). (Round your answer to 4 decimal places.)

Probability

b.	Find the uniform continuous probability for P(X > 531) for U(0, 1,000). (Round your answer to 4 decimal places.)

Probability

c.	Find the uniform continuous probability for P(28 < X < 45) for U(15, 62). (Round your answer to 4 decimal places.)

2)Find the standard normal area for each of the following (Round your answers to 4 decimal places.):

		Standard normal area
a.	P(1.25 < Z < 2.15)
b.	P(2.04 < Z < 3.04)
c.	P(-2.04 < Z < 2.04)
d.	P(Z > 0.54)

3)The weight of a small Starbucks coffee is a normally distributed random variable with a mean of 390 grams and a standard deviation of 9 grams. Find the weight that corresponds to each event. (Use Excel or Appendix C for calculation of z-value. Round your final answers to 2 decimal places.)

a.

Highest 10 percent

b.

Middle 50 percent

to

c.

Highest 80 percent

d.

Lowest 10 percent

4)The credit scores of 35-year-olds applying for a mortgage at Ulysses Mortgage Associates are normally distributed with a mean of 680 and a standard deviation of 105.

(a)	Find the credit score that defines the upper 5 percent. (Use Excel or Appendix C for calculation of z-value. Round your final answer to 2 decimal places.)

Credit score

(b)	Seventy-five percent of the customers will have a credit score higher than what value? (Use Excel or Appendix C for calculation of z-value. Round your final answer to 2 decimal places.)

Credit score

(c)	Within what range would the middle 80 percent of credit scores lie? (Use Excel or Appendix C for calculation of z-value. Round your final answer to 2 decimal places.)

Range

to

5)Passengers using New York's MetroCard system must swipe the card at a rate between 14 and 34 inches per second, or else the card must be re-swiped through the card reader. Research shows that actual swipe rates by subway riders are uniformly distributed between 5 and 40 inches per second.

(a)	What is the mean swipe rate? (Round your answer to 2 decimal places.)

Mean	inches per second

(b)	What is the standard deviation of the swipe rate? (Round your answer to 2 decimal places.)

Standard deviation

inches per second

(c)	What are the quartiles? (Round your answers to 2 decimal places.)

1st Quartile	inches per second
3rd Quartile	inches per second

(d)	What percentage of subway riders must re-swipe the card because they were outside the acceptable range? (Round your answer to 2 decimal places.)

Re-swipe

%