Question

5)Visitors arrive to a water park according to a Poisson process with a mean of 3.30 visitors per minute. If the park opens at 8:00 am, what is the probability that no visitors arrive in a 3-minute period? Express your answer to four decimal places using conventional rounding methods.

7)

Determine −z.05

.05

Express your answer to two decimal places.

8) The probability that a standard normal random variable is equal to 0 is 0.50. T/F

10) The length of cracks in the fuselage six airplanes were recorded as 2.18 mm, 2.96 mm, 2.97 mm, 1.79 mm, 1.11 mm, 2.06 mm.

Determine the variance of the length of cracks.

13)

The die in a certain board game has seven sides, each face value an integer that is equally likely to be face up on a roll: 1, 2, 3, 4, 5, 6, 7. If X is the face value of that die, what is the standard deviation of X?

14)What is the name of the probability distribution that is often used to model the count of events in an interval? Enter one word as your answer. Spelling counts.

15)The probability that Joseph earns an A in Physics is 0.24 and the probability that he earns an A in Sociology is 0.72. If Joseph earning an A in Physics is independent of him earning an A in Sociology, what is the probability that Joseph does not earn an A in either course? Express your answer to four decimal places using conventional rounding methods.

17)

The length of a metal rod is normally distributed with a population mean equal to 3.26 mm and population standard deviation equal to 0.11 mm.

A sample of 36 rods is taken. What is the probability that the sample average of these rods lies between 3.20 mm and 3.24 mm? Express your answer to four decimal places using conventional rounding methods.

19)

The temperature reading, X, of a furnace, has the following CDF:

F(x) = 0 for x < 740 degrees

= 0.02x - 14.8 for 740 degrees < x < 790 degrees

= 1 for x > 790 degrees

What is the probability that a temperature reading will be less than or equal to 777 degrees? Express your answer to two decimal places using conventional rounding methods.

Answer 1

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