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Assignment 5B DQR200

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PLEASE SHOW WORK FOR PARTIAL CREDIT! IF YOU USE EXCEL, PLEASE WRITE FORMULA USED IN EXCEL IN SPACE PROVIDED. SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.

Assume that the weight loss for the first month of a diet program varies between 6 pounds and 12 pounds, and is spread evenly over the range of possibilities, so that there is a uniform distribution. Find the probability of the given range of pounds lost.

1) More than 10 pounds 1)

2) Between 8 pounds and 11 pounds 2)

Using the following uniform density curve, answer the question.

3) What is the probability that the random variable has a value greater than 5? 3)

4) What is the probability that the random variable has a value less than 6? 4)

Find the area of the shaded region. The graph depicts the standard normal distribution with mean 0 and standard deviation 1.

5) 5)

1

Find the indicated z score. The graph depicts the standard normal distribution with mean 0 and standard deviation 1. 6) Shaded area is 0.9599. 6)

7) Shaded area is 0.4013. 7)

Find the indicated probability. 8) The volumes of soda in quart soda bottles are normally distributed with a mean of 32.3 oz

and a standard deviation of 1.2 oz. What is the probability that the volume of soda in a randomly selected bottle will be less than 32 oz?

8)

9) The weekly salaries of teachers in one state are normally distributed with a mean of $490 and a standard deviation of $45. What is the probability that a randomly selected teacher earns more than $525 a week?

9)

10) In one region, the September energy consumption levels for single- family homes are found to be normally distributed with a mean of 1050 kWh and a standard deviation of 218 kWh. For a randomly selected home, find the probability that the September energy consumption level is between 1100 kWh and 1225 kWh.

10)

2