Question

In: Statistics and Probability

The mean of a normal distribution is 420 kg. The standard deviation is 9 kg. Refer...

The mean of a normal distribution is 420 kg. The standard deviation is 9 kg. Refer to the table in Appendix B.1. (Round the z values to 2 decimal places and the final answers to 4 decimal places.)

a. What is the area between 428 kg and the mean of 420 kg?

Area

b. What is the area between the mean and 403 kg?

Area

c. What is the probability of selecting a value at random and discovering that it has a value of less than 403 kg?

Probability

Solutions

Expert Solution

Answer: We are given:

a. What is the area between 428 kg and a mean of 420 kg?

Answer:

Using the z-score formula, we have:

b. What is the area between the mean and 403 kg?

Answer:

Using the z-score formula, we have:

c. What is the probability of selecting a value at random and discovering that it has a value of less than 403 kg?

Answer:

Using the z-score formula, we have:

Therefore, the probability of selecting a value at random and discovering that it has a value of less than 403 kg is 0.0294

orchestra answered 1 year ago

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