Question 2 vl Next question C Get a similar question You can retry this question below The number of ants per acre in the forest is normally distributed with mean 44,000 and standard deviation 12,474. Let X = number of ants in a randomly selected acre of the forest. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N(,) & o b. Find the probability that a randomly selected acre in the forest has fewer than 57,170 ants. [ 0.8531 | of c. Find the probability that a randomly selected acre has between 45,285 and 53,893 ants. | 0.1739 X d. Find the first quartile. | 37,318 X |ants (round your answer to a whole number) Hint; Helpful videos: e Find a Probability ' [+] Finding a Value Given a Probability &' [+] Hint Question 3 vl Next question & Get a similar question You can retry this question below Suppose that the speed at which cars go on the freeway is normally distributed with mean 66 mph and standard deviation 9 miles per hour. Let X be the speed for a randomly selected car. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N(,) & o b. If one car is randomly chosen, find the probability that it is traveling more than 64 mph. c. If one of the cars is randomly chosen, find the probability that it is traveling between 69 and 73 mph. o d. 62% of all cars travel at least how fast on the freeway? mph. Hint: Question 4 v 0.75/1 pt 1-2 299 O Details Score on last try: 0.75 of 1 pts. See Details for more. > Next question 2 Get a similar question You can retry this question below Private nonprofit four-year colleges charge, on average, $27,194 per year in tuition and fees. The standard deviation is $6,692. 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(,) & o b. Find the probability that a randomly selected Private nonprofit four-year college will cost less than 26,614 per year. o c. Find the 61th percentile for this distribution. $ (Round to the nearest dollar.) Hint: Helpful videos: Score on last try: 0.75 of 1 pts. See Details for more. > Next question 2 Get a similar question You can retry this question below The percent of fat calories that a person in America consumes each day is normally distributed with a mean of about 38 and a standard deviation of 10. Suppose that one individual is randomly chosen. Let X=percent of fat calories. Round all answers to 4 decimal places if where possible a. What is the distribution of X? X ~ N( ) o b. Find the probability that a randomly selected fat calorie percent is more than 44.10.7257 X . Find the maximum number for the lower quarter of percent of fat calories. 31.255 v| & Hint: Helpful videos: Score on last try: 0.71 of 1 pts. See Details for more. > Next question 2 Get a similar question You can retry this question below The mean height of an adult giraffe is 18 feet. Suppose that the distribution is normally distributed with standard deviation 0.8 feet. Let X be the height of a randomly selected adult giraffe. Round all answers to 4 decimal places where possible. a. What is the distribution of X2 X ~ N(, 08 ) o o b. What is the median giraffe height? ft. & c. What is the Z-score for a giraffe that is 20 foot tall? o d. What is the probability that a randomly selected giraffe will be shorter than 17.7 feet tall? e. What is the probability that a randomly selected giraffe will be between 17.5 and 18.4 feet taII? f. The 90th percentile for the height of giraffes is ft.