Private nonprofit four-year colleges charge, on average, $26,898 per year in tuition and fees. The standard deviation is $7,084. Assume the distribution is normal. Let X be the cost for a randomly selected college. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N(,) b. Find the probability that a randomly selected Private nonprofit four-year college will cost less than 25,503 per year. c. Find the 73rd percentile for this distribution. $ (Round to the nearest dollar.)
Private nonprofit four-year colleges charge, on average, $26,898 per year in tuition and fees. The standard deviation is $7,084. Assume the distribution is normal. Let X be the cost for a randomly selected college. Round all answers to 4 decimal places where possible.
a. What is the distribution of X? X ~ N(,)
b. Find the probability that a randomly selected Private nonprofit four-year college will cost less than 25,503 per year.
c. Find the 73rd percentile for this distribution. $ (Round to the nearest dollar.)
The average American man consumes 10 grams of sodium each day. Suppose that the sodium consumption of American men is
a. What is the distribution of X? X ~ N(,)
b. Find the probability that this American man consumes between 10.6 and 11.8 grams of sodium per day.
c. The middle 30% of American men consume between what two weights of sodium?
Low:
High:
On the planet of Mercury, 4-year-olds average 2.8 hours a day unsupervised. Most of the unsupervised children live in rural areas, considered safe. Suppose that the standard deviation is 1.4 hours and the amount of time spent alone is normally distributed. We randomly survey one Mercurian 4-year-old living in a rural area. We are interested in the amount of time X the child spends alone per day. (Source: San Jose Mercury News) Round all answers to 4 decimal places where possible.
a. What is the distribution of X? X ~ N(,)
b. Find the probability that the child spends less than 3.1 hours per day unsupervised.
c. What percent of the children spend over 4 hours per day unsupervised. % (Round to 2 decimal places)
d. 67% of all children spend at least how many hours per day unsupervised? hours.
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