Need help with 6-9.

Question 6 5 pts Ponchos Instructions: Use at least 4 decimals in your calculations (unless the calculated number's decimals do not go out that far). Then round your answer to the requested number of decimals. Ana is an entrepreneur in a developing country who produces ponchos in a sewing room in her home. (She is part of the "informal" manufacturing sector.) The number of ponchos Ana produces per day is a random variable X, which has the probability distribution given below. Numbers of ponchos produced on different days are independent. 39 40 41 42 Px(x) 0.3 0.4 0.2 0.1 This is the first of 13 questions in this set. Calculate the probability Ana will produce more than 40 ponchos on any one day. One decimal Question 7 5 pts Calculate the expected number of ponchos Ana produces in a day. One decimal Question 8 5 pts Calculate the variance of the number of ponchos produced in a day. Two decimals Question 9 5 pts Calculate the probability that, in a period of five days, Ana will produce more than 40 ponchos on at least one day. Four decimals HINT: You can answer this question, and the next one, using the binomial probability function, but that is not necessary