Use the Standard Normal Distribution: 4. Using the standard normal tables, deter
ID: 2981660 • Letter: U
Question
Use the Standard Normal Distribution:
4. Using the standard normal tables, determine the following probabilities. Also, for each item, provide a sketch of the associated areas
a. P(0 < z < 1.24)
b. P(z > 3.22)
c. P(z < -3.39)
d. P(-2.64 < z < 3.32)
5. If we assume that adults have IQ scores that are normally distributed with a mean of 100 and a standard deviation of 15:
a. Find the probability that a randomly selected adult has an IQ greater than 131.5 ( the requirement for membership in the MENSA organization)
b. Find the probability that a randomly selected adult has an IQ between 110 and 120
6. The length of pregnancies is normall distributed with a mean of 268 days and a standard deviation of 15 days.
a. One classic use of the normal distribution is inspired by a letter to "Dear Abby" in which a wife claimed to have given birth 308 days after a brief visit from her husband, who was serving in the Navy. Given this information, find the probability of a pregnancy lasting longer than 308 days. What does the result suggest?
Explanation / Answer
4 a=.8925......
4 b=.0006....
4c=.0003.....
4d=.0036....
5 a=.0179.....
5 b=-.1613....
6 a=0.0038........this suggests that pregnency is rarely lasts more than 308 days
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