PLEASE HELP!!

An online retailer claims the probability of their packages arriving on time is 0.95. Assume that
delivery times for packages are independent of one another. Suppose that there were 14 package
deliveries. Let X = the number of packages delivered on time.

1. Explain why X is a binomial random variable.

2. Use the binomial probability formula to find P(X = 12). Interpret this value in context.

Abox contains 1 plain pencil and 4 pens. a second box contains 5 color pencils and 5 crayons. one item from each box is chosen at random. what is the probability that a plain pencil from the first box and a color pencil from the second box are selected? write your answer as a fraction in simplest form.

Tom had a total of $220 and he spent $35 on a basketball ticket . what percent of his money did he have left?

17. a researcher measures three variables, x, y, and z for each individual in a sample of n = 20. the pearson correlations for this sample are rxy = 0.6, rxz = 0.4, and ryz = 0.7. a. find the partial correlation between x and y, holding z constant. b. find the partial correlation between x and z, holding y constant. (hint: simply switch the labels for the variables y and z to correspond with the labels in the equation.) gravetter, frederick j. statistics for the behavioral sciences (p. 526). cengage learning. kindle edition.