(1) find the area of the shaded region. the graph depicts the standard normal distribution with mean 0 and standard deviation 1, z=.35. what is the area of the shaded region (left shaded)?

(2) assume the random variable x is normally distributed with U=83 and standard deviation o=5. Find the indicated probability. p(x<80)

(3) assume the random variable x is normally distributed with U=83 and standard deviation o=5. Find the indicated probability. p(70<x<75)

(4) a survey conducted to measure the height of men. in the survey respondents were grouped by age. in 20-29 age group the heights were normally distributed with a mean of 66.8 inches and a standard deviation of 4.0 inches a study is randomly selected.

(a) find the probability that his height is less than 60 inches.

(b) find the probability that his height is more than 60 inches

(c) find the probability that his height is equal to 60 inches

(5) use normal distribution of SAT critical reading scores for which the mean is 511 and the standard deviation is 106. assume the variable x is normally distributed

(a) what percentage of the sat scores less than 650

(b) if 1000 sat verbal scores are randomly selected, about how many would you expect to be greater the 550

(6) find the score that has 11.9% of the distribution area to the right

(7) find the z-score for 40% of the distribution area lies between -z and z