For a binomial distribution with p = 14, what is the probability that A will occurmore than 18 times in a series of 48 trials?a. 0.2514b. 0.0336c. 0.0228d. 0.0150

Suppose that the speed at which cars go on the freeway is normally distributed with mean 69 mph and standard deviation 7 miles per hour. Let X be the speed for a randomly selected car. Round all answers to 4 decimal places where possible.a. If one car is randomly chosen, find the probability that it is traveling more than 66 mph. b. If one of the cars is randomly chosen, find the probability that it is traveling between 72 and 76 mph. c. 84% of all cars travel at least how fast on the freeway?  mph.

The number of ants per acre in the forest is normally distributed with mean 44,000 and standard deviation 12,192. 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( 44,000 12,192 b. Find the probability that a randomly selected acre in the forest has fewer than 47,638 ants. c. Find the probability that a randomly selected acre has between 45,935 and 56,143 ants. d. Find the first quartile. ants (round your answer to a whole number)

For a binomial distribution with p = 0.20 and n = 25, what is the z-score for X = 12?​ Select one: a. ​ 1.00 b. ​ -2.5 c. ​ 3.5 d. ​ 5