In order to ride the Death Trap at the amusement park, guidelines say that participants must be between 60 and 74 inches tall. Given that the mean height of women is 64.00 inches with a standard deviation of 1.77 inches and the mean height of men is 69.50 inches with a standard deviation of 1.50 inches,answer the following. Assume that the heights of men and women are normally distributed. a)Draw the distribution in question. b)What is the probability that a woman will be too short to ride? c)What is the probability a man will be too tall to ride?
In order to ride the Death Trap at the amusement park, guidelines say that participants must be between 60 and 74 inches tall. Given that the mean height of women is 64.00 inches with a standard deviation of 1.77 inches and the mean height of men is 69.50 inches with a standard deviation of 1.50 inches,answer the following. Assume that the heights of men and women are
a)Draw the distribution in question.
b)What is the probability that a woman will be too short to ride?
c)What is the probability a man will be too tall to ride?
d)What is the probability that a man will be able to ride? Interpret.
e)What height for a man would be unusually short?
f)What height for a woman would be unusually short?
g)If the park owners want the tallest 12% of men to be restricted from the ride, what should the height maximum be?
h)If the park owners want to ensure only the shortest 14% of women cannot ride, what should the height minimum be?
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