In a binomial distribution with a success rate of 93%, find the a) probability of success on a single trial p b) probability of failure on a single trial q

A rare form of malignant tumor occurs in 11 children in a​ million, so its probability is 0.000011. Four cases of this tumor occurred in a certain​ town, which had 14,318 children. Assuming that this tumor occurs as​ usual, find the mean number of cases in groups of 14,318 children. Using the unrounded mean from part (a​), find the probability that the number of tumor cases in a group of 14,318 children is 0 or 1. What is the probability of more than one​ case? Does the cluster of four cases appear to be attributable to random​ chance? Why or why​ not? (*Need before midnight pleeeease!)

In a family of 5 children, let X be the number of boys. a) What is the expected value of X? b) What is the variance of X

A basketball player makes 70% of the free throws he shoots. Suppose that he tries 15 free throws. a)What is the probability that he will make more than 7 throws? b)How many baskets can the player expect to make if he takes 15 shots? c)What is the standard deviation of the number of successful free throws out of 15 total?