An insurance company has four different types of product: life insurance, health insurance, indexed annuity and variable annuity. Mr. White is an agent for the insurance company. The probability that Mr. White successfully sells a life insurance product in a week is 0.35. The probability that Mr. White successfully sells a health insurance product in a week is 0.45. The probability that Mr. White successfully sells an indexed annuity product in a week is 0.30. The probability that Mr. White successfully sells a variable annuity product in a week is 0.20.

Assuming the events in which Mr. White sells a product type are mutually independent, what is the probability that Mr. White successfully sells more than two types of products in a week?

Arecent study focused on the number of times men and women who live alone buy take-out dinner in a month. assume that the distributions follow the normal probability distribution and the population standard deviations are equal. the information is summarized below. statistic men women sample mean 24.85 21.33 sample standard deviation 5.54 4.93 sample size 34 36 at the 0.01 significance level, is there a difference in the mean number of times men and women order take-out dinners in a month? state the decision rule for 0.01 significance level: h0: μmen= μwomen h1: μmen ≠ μwomen. (negative amounts should be indicated by a minus sign. round your answers to 3 decimal places.) compute the value of the test statistic. (round your answer to 3 decimal places.) what is your decision regarding the null hypothesis? what is the p-value? (round your answer to 3 decimal places.)