Statistics and Probability Answers

A population consists of the numbers 1, 2, 3, and 4 with the sample size of 2. Compute the population variance.

A population consists of the numbers 1, 2, 3, and 4 with the sample size of 2. what is the mean that has a probability of 2/6 or 1/3 or 0.33?

A population consists of the numbers 1, 2, 3, 4, 5, 6, 7 and 8. If a sample size is 4. how many possible random samples can be drawn from the given population?

Suppose the mean amount of cholesterol in eggs labeled “large” is 186 milligrams, with standard deviation 7 milligrams. Find the probability that the mean amount of cholesterol in a sample of 144 eggs will be within 1.5 milligrams of the population mean.

A researcher of a cardboard manufacturing company would like to know the estimated thickness of the cardboard a machine produces How many cardboards should he measure if he wants to be 99% confident that the estimate is accurate to 1 mm. Study shows that the standard deviation is 3mm

The average time it takes a group of Senior High School students to complete a certain examination is 48.2 minutes. The standard deviation is 7 minutes. If 45 randomly selected college student take the examination, what is the probability that the mean time it takes the group to complete the test between 46 and 49 minutes?

Given a die, it has 6 faces in which each face has either dot/s of 𝑥=1,2,3,4,5 𝑎𝑛𝑑 6. Given it as the population, consider sample of size 𝑛=3. Find the population mean, population variance, population standard deviation, the mean, variance and standard deviation of the sampling distribution of the sample mean and illustrate its probability histogram of the sampling distribution of the sample means.

Consider a population consisting of 4, 7, 8, 13, 15 and 17. Suppose samples of size 3 are drawn from this population. Determine the total number of samples. *

A researcher is interested in estimating the average monthly salary of bank managers in NCR. He wants to be 90% confident that his estimate is correct. If the standard deviation is ₱8,500, how large a sample is needed to get the desired information and to be accurate within ₱1,150?

The probability that Roy attends a practice session before a match is 95%. If he attends, the probability that he is chosen for the team which plays is 98%. If he does not attend, there is a 75% chance that he will be chosen for the team

a)Construct a well labeled tree diagram to represent all the possible outcomes. [4]

b) What is the probability that Roy:

i) attends practice and is chosen? [1]

ii) does not attend practice and is not chosen? [1]

iii) does not attend practice? [1]

iv) is chosen? [2]