Assume that the amounts of weight that male college students gain during their freshman year are normally distributed with a mean of μ= 1.3 kg and a standard deviation of a 5.2 kg. Complete parts (a) through (c) below. a. If 1 male college student is randomly selected, find the probability that he gains between 0 kg and 3 kg during freshman year. The probability is (Round to four decimal places as needed.)

The average amount of money spent for lunch per person in the college cafeteria is $6.24 and the standard deviation is $2.05. Suppose that 6 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal places where possible.For the group of 6 patrons, find the probability that the average lunch cost is between $6.2647 and $7.3532.

uppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 269 feet and a standard deviation of 43 feet. Let X be the distance in feet for a fly ball.b. Find the probability that a randomly hit fly ball travels less than 307 feet. Round to 4 decimal places. c. Find the 90th percentile for the distribution of distance of fly balls. Round to 2 decimal places.  feet

A subway train arrives every eight minutes during rush hour. We are interested in the length of time a commuter must wait for a train to arrive. The time follows a uniform distribution. a. Find the mean, μ = b. Find the standard deviation, σ =              Round to the nearest tenth.

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The lengths of pregnancies are normally distributed with a mean of 268days and a standard deviation of 15 days. a. Find the probability of a pregnancy lasting 309 days or longer. b. If the length of pregnancy is in the lowest 2​%, then the baby is premature. Find the length that separates premature babies from those who are not premature.   a. The probability that a pregnancy will last 309 days or longer is   ​(Round to four decimal places as​ needed.)   b. Babies who are born on or before____days are considered premature. ​   (Round to the nearest integer as​ needed.)

I. NORMAL PROBABILITY DISTRIBUTION Cars are passing through a checkpoint. Assume the speeds are normally distributed such that the mean (u) = 61 mph and the standard deviation (sigma) = 4 mph. а. b. Calculate the probability (area under the curve) that the next car to pass will be travelling more than 58 mph.

Assume that females have pulse rates that are normally distributed with a mean of μ=74.0 beats per minute and a standard deviation of σ=12.5 beats per minute. Complete parts​ (a) through​ (c) below.       Question content area bottom Part 1 a. If 1 adult female is randomly​ selected, find the probability that her pulse rate is between 67 beats per minute and 81 beats per minute.   The probability is 0.42450.4245. ​(Round to four decimal places as​ needed.) Part 2 b. If 4 adult females are randomly​ selected, find the probability that they have pulse rates with a mean between 67 beats per minute and 81 beats per minute.   The probability is enter your response here. ​(Round to four decimal places as​ needed.)