1)

In an urn we have balls of different colors: 20 are black, 50 are red, 50 are blue, 60 are green, and 70 are white. Determines the probabiity of: a. select a red ball. b. select a red or black ball. (Please show the calculations to receive the total score.)

2.)

The probability that a promotional campaign will increase sales is .80. The probability that the cost of developing the new campaign will remain within budget is .40. Assume that the two events are independent.

Determine the likelihood that the cost stays within budget and that sales will increase.

PLEASE SHOW THE CALCULATIONS AND INDICATE THE CONDITION AND TYPE OF PROBABILITY TO BE CALCULATED.

3)

20% of aseller's phone calls result in a sale. Suppose the probability of a sale on one call is independent of the other calls.

a. Determine the probability that the seller will make exactly 4 sales in 10 calls. (5)

b. Determines the likelihood that the seller will make 4 sales or more in 10 calls. (5)

PLEASE SHOW THE CALCULATIONS AND IDENTIFY THE ANSWER CLEARLY, OTHERWISE YOU WILL NOT RECEIVE THE TOTAL SCORE

4)

The probability that home sales will increase in the next 6 months is estimated at .25. The probability that the interest rate on home loans will increase during the same period is .74. The probability of both (home sales and interest rate) increasing is estimated at .10. Determine the likelihood that home sales or the interest rate will increase during that period.

5)

A fishmonger's owner determined that the average weight of a fish is 3.2 pounds with a standard deviation of .8 pounds. Suppose the weight of the fish follows a normal distribution. to. Determine the likelihood that the fish will weigh less than 2.2 pounds. (Please show the calculations to receive the total score.)

6) Suppose a judge's decisions follow a binomial distribution and their verdict is wrong 10% of the time. Determine the probability that in the next 10 decisions, you will have less than 2 wrong verdicts. (Pleasedisplay calculations) Use the table.

7)

A fishmonger's owner determined that the average weight of a fish is 3.2 pounds with a standard deviation of .8 pounds.Suppose the weight of the fish follows a normal distribution. a.Determine the likelihood that the fish will weigh between 3 and 5 pounds. Please show the calculations.