6.1.10-T A randomly selected value from a normal distribution is found to be 2.3

Question

6.1.10-T A randomly selected value from a normal distribution is found to be 2.3 standard deviations above its mean. a. What is the probability that a randomly selected value from the distribution will be greater than 2.3 standard deviations above the mean? b. What is the probability that a randomly selected value from the distribution will be less than 2.3 standard deviations from the mean? a The probability is (Round to four decimal places as needed) Enter your answer in the answer box and then click Check Answer

Explanation / Answer

Z = 2.3

Using tables,

P(Z >= 2.3)

= 1 - P(Z < 2.3)

= 1 - 0.9893

= 0.0107.

a. Probability that a randomly selected value will be greater than 2.3 standard deviations above mean = 0.0107.

b. Probability that a randomly selected value will be less than 2.3 standard deviations above mean = 0.9893.

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