Heights of men are normally distributed with a mean of 75 in and a standard deviation of 3.5 in. Find the probability of randomly selecting a man with a height of less than 72 in. Find the probability of randomly selecting a man with a height of greater than 74 in. Find the probability of randomly selecting a man with a height that is between 71 in. and 77 in.
Heights of men are normally distributed with a mean of 75 in and a standard deviation of 3.5 in. Find the probability of randomly selecting a man with a height of less than 72 in. Find the probability of randomly selecting a man with a height of greater than 74 in. Find the probability of randomly selecting a man with a height that is between 71 in. and 77 in.
Heights of men are normally distributed with a mean of 75 in and a standard deviation of 3.5 in. Find the probability of randomly selecting a man with a height of less than 72 in. Find the probability of randomly selecting a man with a height of greater than 74 in. Find the probability of randomly selecting a man with a height that is between 71 in. and 77 in.
- Heights of men are normally distributed with a mean of 75 in and a standard deviation of 3.5 in.
Find the probability of randomly selecting a man with a height of less than 72 in.
Find the probability of randomly selecting a man with a height of greater than 74 in.
Find the probability of randomly selecting a man with a height that is between 71 in. and 77 in.
Find the height separating the bottom 90% from the top 10%.
Find the height separating the bottom 5% from the top 95%.
Find the probability that if a group of 16 men are selected, their average height will be less than 72 in.
Find the probability that if a group of 16 men are selected, their average height will be greater than 74 in.
Find the probability that if a group of 16 men are selected, their average height will be between 71 in. and 77 in.
Transcribed Image Text:- Heights of men are normally distributed with a mean of 75 in and a standard deviation of
3.5 in.
a. Find the probability of randomly selecting a man with a height of less than 72
in.
b. Find the probability of randomly selecting a man with a height of greater than
74 in.
c. Find the probability of randomly selecting a man with a height that is between
71 in. and 77 in.
d. Find the height separating the bottom 90% from the top 10%.
e. Find the height separating the bottom 5% from the top 95%.
f. Find the probability that if a group of 16 men are selected, their average height
will be less than 72 in.
g. Find the probability that if a group of 16 men are selected, their average height
will be greater than 74 in.
h. Find the probability that if a group of 16 men are selected, their average height
will be between 71 in. and 77 in.
Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.
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