Weight of cows. Weight of a certain species N~(1600 , 300) lbs a. What is the probability of selecting a cow that weighs more than 1650 pounds? (show work)

X =

Z =

Probability = (Need to use Standard Normal Table)

The management of a private investment club has a fund of $250,000 earmarked for investment in stocks. to arrive at an acceptable overall level of risk, the stocks that management is considering have been classified into three categories: high risk (x), medium risk (y), and low risk (z). management estimates that high risk stocks will have a rate of return of 15%/year; medium risk stocks, 10%/year; and low risk stocks, 6%/year. the amount of money invested in low risk stocks is to be twice the sum of the amount invested in stocks of the other two categories. if the investment goal is to have a rate of return of 9% on the total investment, determine how much the club should invest in each type of stock. (assume that all the money available for investment is invested.)

Catherine de bourgh has one child, anne, who is 18 years old at the end of the year. anne lived at home for seven months during the year before leaving home to attend state university for the rest of the year. during the year, anne earned $6,000 while working part time. catherine provided 80 percent of anne's support and anne provided the rest. which of the following statements regarding whether anne is catherine's qualifying child for the current year is correct? a. anne is a qualifying child of catherine. b.anne is not a qualifying child of catherine because she fails the gross income test. c.anne is not a qualifying child of catherine because she fails the residence test. d.anne is not a qualifying child of catherine because she fails the support test.

Alarge university wanted to study the relationship between completing an internship during college and students' future earning potential. prom the same graduating class, they selected a random sample of 80 students who completed an internship and 100 students who did not complete an internship and examined their salaries five years after graduation. they found that there was a statistically higher mean salary for the internship group than for the noninternship group. which of the following interpretations is the most appropriate? a. there could be a confounding variable, such as student major, that explains the difference in mean salary between the internship and no internship groups. b. we cannot infer anything from these data since the distribution of salaries is likely right skewed. c. you cannot draw any valid conclusions because the sample sizes are different. d. more students should complete internships because having an internship produces a higher salary.