Question

QUESTION 9

1. The manager of Umbrella Corporation's primary distribution center wants to see if there is a need to change the company's shipping partner to save money. Part of the cost of shipping its product is the distance to the customer. Another component is the time of year in which the shipments are made.

   After reviewing first-quarter shipping records going back 10 years, Alexa has found the following:

   • 37,162 shipments were to distances less than 150 miles away;
   • 20,913 shipments were to distances between 151 and 600 miles away;
   • 8,345 shipments were to distances between 601 and 1000 miles away;
   • 6,559 shipments were to distances more than 1000 miles away

   If we let the event A = {shipment distance is between 151 and 600 miles away}, use the relative frequency definition of probability to find P(A) to three decimal places.

QUESTION 12

1. Suppose the experiment is rolling two fair six-sided dice to get out of jail for free in the game of Monopoly. You get out of jail if you roll “doubles” (two of the same number, like (2,2)). Let D be the event “you roll doubles.” Find P(D). (options: 1/6, 6, 1/18, 30/36, 3/52)

QUESTION 13

1. Suppose A and B are two independent events. If P(A) = 0.9 and P(B) = 0.88, what is (P A B)?

QUESTION 16

1. A pair of fair, six-sided dice are tossed. It is known that at least one of the dice shows an even number (i.e., 2, 4, or 6). Given this information, find the probability that the sum of the two dice is six. (Options: 2/27, 5/36, 11/36, 1/9, 27/36, 1/27, 2/11, 1/3)

QUESTION 19

1. Suppose A and B are two independent events. If P(A) = 0.261 and P(B) = 0.5. What is P(A U B), to three decimal places.

Answer 1