Question

Given X ~ N(300, 15). Answer the following. Round probabilities to 4 decimals. a. Find P(X...

Given X ~ N(300, 15). Answer the following. Round probabilities to 4 decimals.

a. Find P(X > 323)

b. Find P(X < 287)

c. Find P(289 < X < 314)

d. The middle 70% of the area under the normal curve is between and Round answers to 2 decimals.

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

a)

=0.5-0.4370 =0.0630

Answer: 0.0630

b)

=0.5-0.3078 =0.1922

Answer: 0.1922

c)

Answer: 0.5911

d) For the middle 70% the critical values of Z are -1.036 and1.036

The Upper limit is

The lower limit is

Answer: The middle 70% of the area under the normal curve is between 284.46 and 315.54

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