1.Assume the random variable x is normally distributed with mean u=90 and standard deviation O=4. Find the indicated probability.
P(80<X<83)=
2. In a survey of a group of? men, the heights in the? 20-29 age group were normally? distributed, with a mean of 67.3
inches and a standard deviation of 3.0inches. A study participant is randomly selected. Complete parts? (a) through? (d) below.
a)The probability that the study participant selected at random is less than 66inches tall is ____
b) Find the probability that a study participant has a height that is between inches.
c)Find the probability that a study participant has a height that is more than
D)identify any unusual events. Explain your reasoning.
3.The amounts a soft drink machine is designed to dispense for each drink are normally? distributed, with a mean of 12.1fluid ounces and a standard deviation of 0.3fluid ounce. A drink is randomly selected.
?(a) Find the probability that the drink is less than 11.8fluid ounces.
?(b) Find the probability that the drink is between 11.7and 11.8fluid ounces.
?(c) Find the probability that the drink is more than 12.5fluid ounces. Can this be considered an unusual? event?
4..he mean incubation time for a type of fertilized egg kept at 100?°F is 20days. Suppose that the incubation times are approximately normally distributed with a standard deviation of 2 days
.
?(a) What is the probability that a randomly selected fertilized egg hatches in less than 16days?
?(b) What is the probability that a randomly selected fertilized egg hatches between 18and 20?days?
?(c) What is the probability that a randomly selected fertilized egg takes over 24days to? hatch?
5.Use the normal distribution of SAT critical reading scores for which the mean is 51and the standard deviation is 120.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 550?
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