1.The area between  style=”color:rgb(0,0,0);background-color:transparent;”>z =0 and z =1.6 under the standard normal curve is _
2.Assume the random variable x is normally distributed with mean μ =90 and standard deviation σ=4Find the indicated probability.P(X<87)=
3.In a survey of a group of​ men, the heights in the​ 20-29 age group were normally​ distributed, with a mean 68.8 inches and a standard deviation of 2.0 inches. A study participant is randomly selected. Complete parts​ (a) through​ (d) below.
A)Find the probability that a study participant has a height that is less than 66 inches.The probability that the study participant selected at random is less than 66 inches tall is _
4.Use the normal distribution of SAT critical reading scores for which the mean is 510 and the standard deviation is 123. Assume the variable x is normally distributed.
a)What percent of the SAT verbal scores are less than 650?b)If 1000 SAT verbal scores are randomly​ selected, about how many would you expect to be greater than 525?
5.The time spent​ (in days) waiting for a heart transplant for people ages​ 35-49 can be approximated by the normal​ distribution, as shown in the figure to the right.
a)What waiting time represents the 5th ​percentile?b) What waiting time represents the third​ quartile?
6.The time spent​ (in days) waiting for a kidney transplant for people ages​ 35-49 can be approximated by the normal​ distribution, as shown in the figure to the right.
a)What waiting time represents the 80th ​percentile?b)What waiting time represents the first​ quartile?

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