Given the binomial distribution, X~ B(10, 0.4) X = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. P(X= k) = kC10(0.4k)(0.6¹0-k). Which if any of the above statements are correct? A. I. only. B. II. only. C. I. & II. D. Both I. II.

Find the are below 13 for a N(15,5) distribution

Suppose that the speed at which cars go on the freeway is normally distributed with mean 80 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. What is the distribution of X? X - N( 80 | 7 b. If one car is randomly chosen, find the probability that it is traveling more than 79 mph. c. If one of the cars is randomly chosen, find the probability that it is traveling between 82 and 87 mph. d. 71% of all cars travel at least how fast on the freeway? mph. Hint:

only three parts

For each p value stated below, what is the decision for each if α = .01? Assume that this is the total probability (two tails combined). 19a. p = .1000 a. Reject H0 b. Retain H0  19b. p = .0050 a. Reject H0 b. Retain H0  19c. p = .0250 a. Reject H0 b. Retain H0  19d. p=.0001 a. Reject H0 b. Retain H0

Q P.6: On its way, a car meets 4 traffic lights, and the probability that each of them will be red is 0.5. Let X be a discrete random variable equal to the number of traffic lights that were green when the car arrived. X may take the values of 0, 1, 2, 3, 4. (Assume traffic lights are independent.) What is the probability distribution of X? The probability distribution of X is 3 4 p(x) 0.5 0.25 0.125 0.0625 0.0625 The probability of distribution of X is 3 p(x) 0.5 0.5 0.25 0.125 The probability of distribution of X is 3 4 p(x) 0.5 0.25 0.5 0.25 0.125 The probability distribution of X is 1 3 4 p(x) | 0.5 || 0.5 || 0.5 | 0.5 || 0.5 The probability of distribution of X is 3 4 p(x) || 0.0625 0.0625 0.125 0.25 0.5

A computer selects a number X from 4 to 11 randomly and uniformly. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - U(| b. Suppose that the computer randomly picks 39 such numbers. What is the distribution of a for this selection of numbers. a - N( c. What is the probability that the average of 39 numbers will be less than 6.6?

Q25. If the records show that, the probability of failing(with grade F) this course is p, [use the answer toquestion 22 above as the probability, p, here], whatis the probability that at most 2 students out of 20fail this course? {Hint: use binomial distribution} n=20 A=10 B=2 C=2 D=2 F=4