When a random variable X follows binomial distribution, the probability of success on one trian is equal to 0.8, and the number of trials is eual to 125, What is the variance of X ?

Graduate students applying for entrance to many universities must take a Miller Analogies Test. It is known the test scores have a mean of 75 and a variance of 16. This year, one hundred students applied for entrance into graduate school in physics. Find the probability that the average score of this group of students is higher than 76. (Round your result to 4 decimal places.)

The mean cost of a five pound bag of shrimp is 46 dollars with a variance of 64. If a sample of 53 bags of shrimp is randomly selected, what is the probability that the sample mean would be less than  43.9  dollars? Round your answer to four decimal places.

Two separate samples, each with n = 14 individuals, receive different treatments. After treatment, the first sample has SS1 = 1638 and the second has SS2 = 1620. Find the pooled Variance for two independent samples. (hundredths place) Type only the pooled variance.

A New York Times article titled For Runners, Soft Ground Can Be Hard on the Body considered two perspectives on whether runners should stick to hard surfaces or soft surfaces following an injury. One position supported running on soft surfaces to relieve joints that were in recovery from injury. The second position supported running on hard surfaces since soft surfaces can be uneven, which may make worse those injuries a soft surface was intended to help. Suppose we are given sufficient funds to run an experiment to study this topic. With no studies to support either position, which of the following hypotheses would be appropriate? The first position is more sensible, so this should be a one-sided test. In this case, we should form the alternative hypothesis around the second position. The second position makes the more sense, so this should be a one-sided test. In this case, we should form the alternative hypothesis around the first position. Because we would be interested in any…

Find the value of variance in the Binomial distribution where there are 5 samples and p=0.3.

A racing car consumes a mean of 103 gallons of gas per race with a variance of 36. If 38 racing cars are randomly selected, what is the probability that the sample mean would be greater than 101.5 gallons? Round your answer to four decimal places.

Suppose that the City of Chicago is interested in potential revenues if they introduce a tolling station near O'Hare. Further suppose that the average time between cars is only 2.4 seconds; what is the variance of the distribution?

What is the Discrete Variance when sample size is 82 with a probability of 0.82?

The mean points obtained in an aptitude examination is 111 points with a variance of 400.   What is the probability that the mean of the sample would be greater than 113.1 points if 79 exams are sampled? Round your answer to four decimal places.