Three randomly selected households are surveyed. The numbers of people in the households are 4​, 5, and 9. Assume that samples of size n=2 are randomly selected with replacement from the population of 4​, 5, and 9. Construct a probability distribution table that describes the sampling distribution of the proportion of even numbers when samples of sizes nequals=2 are randomly selected. Does the mean of the sample proportions equal the proportion of even numbers in the​ population? Do the sample proportions target the value of the population​ proportion? Does the sample proportion make a good estimator of the population​ proportion? Listed below are the nine possible samples.   4,4    4,5    4​,9    5​,4   5,5    5,9    9,4    9,5    9,9​,

Given the below is a bivariate distribution for the random variables x and y P(x,y) x Y 0.20 30 80 0.50 40 50 0.30 50 60 A.  Draw a histogram of the probability distribution for both x and y  B.  Compute the covariance and correlation for x and y  C.  Are x and y positively related, negatively related, or unrelated  Please do not solve using Microsoft Excel.  My professor is not teaching using excel.  I would like to see the steps taken to getting the solution for my own reference to study.

The engineering school at a major university claims that more than 20% of its graduates are women. In a graduating class of 210 students, 58 were females. Step 3: Requirements/assumptions for this type of distribution Is this sample random? Is this a large sample?

You may need to use the appropriate appendix table or technology to answer this question. A market research firm conducts telephone surveys with a 26% historical response rate. What is the probability that in a new sample of 600 telephone numbers, at least 150 individuals will cooperate and respond to the questions? In other words, what is the probability that the sample proportion will be at least 150 600 = 0.25? Step 1 Recall that a sampling distribution of p is a discrete probability distribution but can be approximated by a normal distribution when np ≥ 5 and n(1 − p) ≥ 5, where n is the sample size and p is the population proportion. Let p be the population proportion of people who respond to questions in telephone surveys. Here, it is given that 26% of people respond to questions in telephone surveys. Converting this percentage to a proportion gives p = . There is a sample of 600 telephone numbers, so n = .