Suppose x is a normally distributed random variable with μ=10 and σ=2. Find each of the following probabilities.   a. ​ P(x≥14​)   b. ​ P(x≤8.5​)   c.

Let X represent a binomial random variable with n = 200 and p = 0.77. Use Excel’s function options to find the following probabilities. a. P(X ≤ 150) b. P(X > 160) c. P(155 ≤ X ≤ 165) d. P(X = 160)

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

If x is a binomial random variable, use the binomial probability table to find the probabilities below. a. P(x < 7) for n = 15, p = 0.8 b. P(x ≥ 13) for n = 20, p = 0.3 c. P(x = 2) for n = 25, p = 0.5

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

I need help with this:A manufacturer knows that on average 20% of toasters produced require repairs within 1 year after they are sold. When 18 toasters are randomly​ selected, find the smallest number x and largest number y such that​ (a) the probability that at least x of them will require repairs is less than 0.58; ​(b) the probability that at least y of them will not require repairs is greater than 0.84.

the probability is .40 that a tragic fatality will involve an intoxicated or impaired driver or nonoccupant. in 8 traffic fatalities find probability that Y that involve an intoxicated driver  A 3 B  between 2 and 4 C mean D stabdered deciarion of Y