7 statistics questions.I want Tutor rudra to do it please

1) Given below are the average annual precipitation (inches) for 40 selected areas in U.S. 11.88 6.27 5.49 4.81 4.40 3.78 3.44 3.11 2.88 2.68 7.99 6.07 5.26 4.79 4.05 3.69 3.36 3.03 2.74 2.63 7.15 5.98 5.07 4.55 3.94 3.62 3.26 2.99 2.74 2.62 3.45 4.56 10.11 8.90 6.21 4.14 5.11 7.65 3.25 7.77 (a) Construct a relative frequency histogram to describe these data (check the extra reading in UBLearns) (b) What proportion of these 40 records are more than 8 inch? (c) If one of the 40 records selected randomly, what is the probability that it will have value less than 4 inch? 2) The monthly amount of demand for a product, over a long period of time, is estimated to be normal distribution with mean 4000 and variance 10000. If the predicted demand for the next month is 4250, what is the probability that the actual demand will exceed the predicted demand? 3) Entry to a certain University is determined by a national test. The scores on this test are normally distributed with a mean of 500 and a standard deviation of 100. What fraction of all college students have scores in the following intervals? (a) 350 to 520 (b) 400 to 640 (c) Less than 540 or greater than 650. 4) You and a friend play a game where you each toss a balanced coin. If the upper faces on the coins are both tails, you lose $10 (win (-$10)); if the faces are both heads, you lose 20$ (win (-$20)); if the coins do not match (one shows a head, the other a tail), you win $30. (a) Give the probability distribution for your winnings, Y, on a single play of this game. (b) Calculate the expected winning amount of money on a single play of this game. 5) A company produces an electronic device. According to the collected data, every 8 products includes 3 that are defective. If 4 of these products are selected at random, how many defective devices can they expect? 6) Given the following box plot: (a) Which quarter has the largest spread of data? What is that spread? (b) Find the Inter Quartile Range (IQR). (c) Are there more data in the interval 54-56 or in the interval 61- 63? How do you know this? 7) Y1 and Y2 are random variables. Given the plots (a) and (b): discuss dependencies between Y1 and Y2, and compare covariance and correlation coefficients.