Te proportion of defective electronic items in a shipment has the beta(2, 3) distribution. a. what is the pdf of the distribution? b. find the cdf of the distribution. c. find the expected proportion of defective items. d. find the probability that at least 20% of the items in the shipment are defective. e. find the probability that the shipment has 10% to 25% defective items.

Find the equation of the trend line (line of best fit). show your work i'm using the points (34,76) (42,91)

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.)

If the line in the graph is shifted up two units which is the equation of the new line