(a) Find the probability that among the next 5 theft cases reported in this district, exactly 2 resulted from the need for money to buy drugs. P(X=2)= (Round to three decimal places as needed.) (b) Find the probability that among the next 5 theft cases reported in this district, at most 3 resulted from the need to buy drugs. P(X ≤ 3) = (Round to three decimal places as needed.)

Suppose that 70% of all students in a large university pass all their classes. Find the probability that more than 60% of 34 r/s students from this university pass all their classes.

The probability is 0.0770 that the 6th applicant for a factory job will be hired on the 13th interview. What is the probability that 6 applicants will be hired from 13 applicants who have been interviewed? Your answer should be to 4 decimal places.

What is the probability of randomly drawing a red ball from a bag that contains 6 red balls, 9 blue balls, 3 white balls, and 2 purple balls? Express your answer to 3 decimal places.

Ezra buys a bag of cookies that contains 9 chocolate chip cookies, 7 peanut butter cookies, 4 sugar cookies and 4 oatmeal cookies.What is the probability that Ezra reaches in the bag and randomly selects a peanut butter cookie from the bag, eats it, then reaches back in the bag and randomly selects a chocolate chip cookie?  Give your answer as a fraction, or accurate to at least 4 decimal places.

The cumulative probability for the entire binomial distribution does not have to sum to 1.  True or False.

The probability that Mr. Johnson goes for an evening walk on any given day during the winter is 0.56.  Out of 89 days of winter, the number of days that Mr. Johnson is expected not to take an evening walk to the nearest day, is