If X and Y are mutually exclusive events with P(X) = 0.265, P(Y) = 0.38, then PCX Y)= O a. 1 b.0 swered C. 0.735 O d. 0.101

Here's a discrete probability experiment: a college instructor keeps track of the number of students who come in during her office hours. In the table, x is the number of students who visit her during her office hours, and P(x) is the associated probability. P(x) 0.25 0.15 0.25 0.35 (a) Find the probability that at least one student comes in during office hours. (b) Find the probability that NO students come. (c) What word do we use to denote the relationship of the events described in (a) and (b)? O skewed O complements O correlated O independent (d) What's the average number of students the instructor can expect to come in during office hours? Don't round your answer. students, on average

Pr. 3 Production. In a production process, let N mean "no trouble" and T"trouble." Let the transition probabilities from one day to the next be 0.8 for N ->>> N, hence 0.2 for N ->>> T, and 0.5 for T → N, hence 0.5 for T→ T. If today there is no trouble, what is the probability of N two days after today? Three days after today?

A contractor is required by a county planning department to submit one, two, three, four, five, or six forms (depending on the nature of the project) in applying for a building permit. Let Y = the number of forms required of the next applicant. The probability that y forms are required is known to be proportional to y-that is, p(y) = ky for y = 1, ..., 6. (Enter your answers as fractions.) (a) What is the value of k? [Hint: S P(Y) = 1] y = 1 k = (b) What is the probability that at most three forms are required? (c) What is the probability that between two and five forms (inclusive) are required? (d) Could p(y) = for y = 1, ..., 6 be the pmf of Y? 92 ---Select--- v because p(y) = y = 1