Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 250 feet and a standard deviation of 40 feet. Let X = distance in feet for a fly ball. Find the 80th percentile of the distribution of fly balls. Write the probability statement.P(X < k) =

Trucks in a delivery fleet travel a mean of 100 miles per day with a standard deviation of 38 miles per day. The mileage per day is distributed normally. Find the probability that a truck drives at least 141 miles in a day. Round your answer to four decimal places.

You may need to use the appropriate appendix table to answer this question. Suppose that the average price for a gallon of gasoline in the Country A is $3.74 and in Country B it is $3.40. Assume these averages are the population means in the two countries and that the probability distributions are normally distributed with a standard deviation of $0.25 in the Country A and a standard deviation of $0.20 in Country B. (a) What is the probability that a randomly selected gas station in Country A charges less than $3.50 per gallon? (Round your answer to four decimal places.) (b) What percentage of the gas stations in Country B charge less than $3.50 per gallon? (Round your answer to two decimal places.) (c) What is the probability that a randomly selected gas station in Country B charged more than the mean price in the Country A? (Round your answer to four decimal places.)

Private nonprofit four-year colleges charge, on average, $27,363 per year in tuition and fees. The standard deviation is $6,865. Assume the distribution is normal. Let X be the cost for a randomly selected college. Round all answers to 4 decimal places where possible.b. Find the probability that a randomly selected Private nonprofit four-year college will cost less than 25,876 per year. ________ - 0.4129 is wrongc. Find the 68th percentile for this distribution. $ _______ (Round to the nearest dollar.) - 30573.752 is wrong

Provide an appropriate response. Use the Standard Normal Table to find the probability. IQ test scores are normally distributed with a mean of 100 and a standard deviation of 15. An individual's IQ score is found to be 90. Find the z-score corresponding to this value. OA. -1.33 OB. 1.33 OC. 0.67 O D. -0.67 C

A surgery has a success rate of 90%. Suppose that the surgery is performed on threepatients. Graph the probability distribution for X using a histogram.Find the mean of X.Find the variance and standard deviation of X

The average number of miles driven on a full tank of gas in a certain model car before its​ low-fuel light comes on is 399. Assume this mileage follows the normal distribution with a standard deviation of What is the probability​ that, before the​ low-fuel light comes​ on, the car will travel between 328 and 348 miles on the next tank of​ gas? 36 miles. Complete parts a through d below. (Round to four decimal places as​ needed.

Answer part b only

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Let X be the number of workouts a person does in a week. Suppose that X has the following probability distribution: 3 e d C # $ SB 4 C A. What is the expected number of workouts a person Standard deviation = r Expected value B. What is the standard deviation of the number of workouts a person f V You can use the tool below to help you compute standard deviation. % 5 t ca b 6 X 0 P p| 0.09 Oll y h hop & 7 n 1 2 3 0.14 0.43 | 0.25 O u does per Round to 2 decimal places, as needed. does per week? j Round to 2 decimal places, as needed. * 00 week? 8 4 0.09 3 k ( 9 O < alt O р ctrl [ ? + 11 = 1 < backs 1