# Question

Florin Frenti operates a small, used car lot that has three Mercedes (M1, M2, M3) and two Toyotas (T1, T2). Two customers, Cezara and Anda, come to his lot, and each selects a car. The customers do not know each other, and there is no communication between them. Let the events A and B be defined as follows:

A: The customers select at least one Toyota.

B: The customers select two cars of the same model.

a. Identify all pairs of cars in the sample space.

b. Define event A.

c. Define event B.

d. Define the complement of A.

e. Show that (A ∩ B) ( (A ∩ B) = B.

f. Show that A ( (A ∩ B) = A ( B.

A: The customers select at least one Toyota.

B: The customers select two cars of the same model.

a. Identify all pairs of cars in the sample space.

b. Define event A.

c. Define event B.

d. Define the complement of A.

e. Show that (A ∩ B) ( (A ∩ B) = B.

f. Show that A ( (A ∩ B) = A ( B.

## Answer to relevant Questions

The accompanying table shows proportions of adults in metropolitan areas, categorized as to whether they are public-radio contributors and whether or not they voted in the last election. a. What is the probability that a ...Before books aimed at preschool children are marketed, reactions are obtained from a panel of preschool children. These reactions are categorized as favorable, neutral, or unfavorable. Subsequently, book sales are ...Given P(A1) = 0.40, P(B1|A1) = 0.60, and P(B1|A2) = 0.70, what is the probability of P(A2|B2) ? State, with evidence, whether each of the following statements is true or false: a. The complement of the union of two events is the intersection of their complements. b. The sum of the probabilities of collectively ...A company places a rush order for wire of two thicknesses. Consignments of each thickness are to be sent immediately when they are available. Previous experience suggests that the probability is 0.8 that at least one of ...Post your question

0