1.Complete the following probability distribution table:

X P(X)

-9 ?

3 0.17

12 0.17

33 0.12

52 0.15

87 0.18

2.Suppose that a brand of lightbulb lasts on average 2229 hours with a standard deviation of 261 hours. Assume the life of the lightbulb is normally distributed. Calculate the probability that a particular bulb will last from 2015 to 2965 hours?

P(2015 <X< 2965) =

Enter your answer as a number accurate to 4 decimal places.

*Note: all z-scores must be rounded to the nearest hundredth.

3.The weights of a certain dog breed are approximately normally distributed with a mean of 50 pounds, and a standard deviation of 5.7 pounds. Use your graphing calculator to answer the following questions. answers inpercentform. Round your answers to the nearest tenth of a percent.

a) Find the percentage of dogs of this breed that weigh less than 50 pounds.%

b) Find the percentage of dogs of this breed that weigh less than 48 pounds.%

c) Find the percentage of dogs of this breed that weigh more than 48 pounds.%

4.The patient recovery time from a particular surgical procedure is normally distributed with a mean of 6.8 days and standard deviation of 1.5 days. Use your graphing calculator to answer the following questions. answers in Percent form. Round your answers to the nearest tenth of a percent.

a) What is the probability of spending less than 7 days in recovery?%

b) What is the probability of spending more than 5 days in recovery?%

c) What is the probability of spending between 5 days and 7 days in recovery?