Suppose that in a certain metropolitan area, 95% of all households have cable TV. Let x denote the number among four randomly selected households that have cable TV. Then x is a binomial random variable with n = 4 and p = 0.95. (Use SALT. Round your answers to four decimal places.) USE SALT (a) Calculate p(2) = P(x = 2). 0.0338 X Interpret this probability. O the probability that at most two of the four randomly selected households have cable TV O the probability that more than two of the four randomly selected households have cable TV O the probability that at least two of the four randomly selected households have cable TV the probability that exactly two of the four randomly selected households have cable TV O the probability that less than two of the four randomly selected households have cable TV (b) Calculate p(4), the probability that all four selected households have cable TV. 0.8145 (c) Calculate P(x ≤ 3).

When taking a 27 question multiple choice test, where each question has five possible answers, it would be unusual to get  or more questions correct by guessing alone. Use the Range Rule of Thumb for Unusual Values to answer this question. Give your answer above as a whole number.

Help please with P-value. How to compute in excel or statcrunch would be helpful.

The scores of a test for an engineering class of 30 students are shown here. (Due to the nature of this problem, do not use rounded intermediate values in your calculations-including answers submitted in WebAssign.) Scores: 81, 54, 55, 56, 96, 86, 98, 61, 90, 52, 92, 76, 66, 84, 79, 70, 71, 88, 62, 74, 53, 65, 55, 78, 79, 58, 60, 72, 51,80 (a) Determine the frequency (f), midpoint (x), and xf for each range and fill in the table below. (First, organize the scores into the following ranges: 50-59, 60-69, 70-79, 80-89, and 90-99.) (b) Using the following equation, determine the mean value (x) and fill in the table below. Σ(XA) n X = (c) Calculate (x − x) for each range and fill in the table below. (d) Calculate (x - x)²f for each range and fill in the table below. Range Frequency f Midpoint x 50-59 60-69 70-79 80-89 90-99 S = Enter a number. S = (e) Using the following equation, compute the standard deviation of the class scores. Σ(x-x) ²f n - 1 Σ(x-x) ²4 n - 1 = xf 29 X X - X (x - x)²f

A random sample of BYU-Idaho students was surveyed and asked if they were in favor of retaining the penny as a form of currency in the United States. Out of the 116 women surveyed, 80 said that they were in favor of retaining the penny as a form of currency. Of the 137 men surveyed, 91 said that they were in favor of retaining the penny. Difference = Women - Men The picture below is the question. Use the information above to help.

Roads A, B, and C are the only way to escape from a certain provincial prison. Prison records show that, of the prisoners who tried to escape, 17% used road A, 13 % used road B, the remainder used road C. The records also indicate that 72 % of those who tried to escape using road A were captured. 62 % of those using road B were captured, and 21% of those using road C were captured. Use four decimals in your answers. (a) What is the probability that a prisoner escaping from this provincial prison is not captured? 0.65 (b) What is the probability that a captured prisoner used road A in their escape attempt? (c) What is the probability that a prisoner who didn't get captured has used road C?

The mean of two number is 32. If the smaller number is 27, what is the larger number equal to?

Please teach me on how to solve this problem. C is wrong, maybe B, because it's talking about "sample ", and definitely "36students " are just samples, not population. Thanks so much.