Question

1) Find the area of the shaded region. The graph to the right depicts IQ scores of​ adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15.

x=90

The area of the shaded region is __. (Round to four decimal places as​ needed.)

2) Find the area of the shaded region. The graph to the right depicts IQ scores of​ adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15.

x=108 x=128

The area of the shaded region is __. (Round to four decimal places as​ needed.)

3) Find the indicated IQ score. The graph to the right depicts IQ scores of​ adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15.

x=0.9

The indicated IQ​ score, x, is __. (Round to one decimal place as​ needed.)

4) Find the indicated IQ score. The graph to the right depicts IQ scores of​ adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15.

x=0.7

The indicated IQ​ score, x, is __.​(Round to one decimal place as​ needed.)

5) Assume that adults have IQ scores that are normally distributed with a mean of mu equals 100 and a standard deviation sigma equals 20. Find the probability that a randomly selected adult has an IQ between 81 and 119.

The probability that a randomly selected adult has an IQ between 81 and 119 is __.
​(Type an integer or decimal rounded to four decimal places as​ needed.)

6) The lengths of pregnancies are normally distributed with a mean of 267 days and a standard deviation of 15 days. a. Find the probability of a pregnancy lasting 309 days or longer. b. If the length of pregnancy is in the lowest 4​%, then the baby is premature. Find the length that separates premature babies from those who are not premature.

The probability that a pregnancy will last 309 days or longer is __.
​(Round to four decimal places as​ needed.)

Answer 1

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