Consider a binomial distribution with 15 trials. Look at a table showing binomial probabilities for various values of p, the probability of success on a single trial. For what value of p is the distribution symmetric?

Richard has been given a 5-question multiple-choice quiz in his history class. Each question has four answers, of which only one is correct. Since Richard has

not attended the class recently, he doesn't know any of the answers. What is considered the success?

A.none of the choices

B.number of questions

C.Richard answers a question correctly.

D.number of questions answered

E.Richard is unable to answer a question correctly.

Suppose in a carnival game, there are nine identical boxes, one of which contains a prize. A contestant wins the prize by selecting the box containing it. Before each game, the old prize is removed and another prize is placed at random in one of the nine boxes. What values of n, r, and p of a binomial probability distribution do you use to find the probability that a contestant who plays the game five times wins exactly three times? Round p to two decimal places if necessary.

Jim has a 5-year-old car in reasonably good condition. He wants to take out a $10,000 term (that is, accident benefit) car insurance policy until the car is 10 years old. Assume that the probability of a car having an accident in the year in which it is x years old is as follows:

= age

5

6

7

8

9

(accident)

0.01182

0.01282

0.01386

0.01513

0.01602

Jim is applying to a car insurance company for his car insurance policy. Using the probabilities that the car will have an accident in its 5th, 6th, 7th, 8th, or 9th year, and the $10,000 accident benefit, what is the expected loss to Car Insurance Company for the respective years? Round your answers to the nearest dollar.

A.

$108, $133, $139, $151, $160

B.

$118, $128, $139, $151, $160

C.

$118, $128, $139, $141, $160

D.

$118, $133, $139, $141, $160

E.

$108, $128, $139, $141, $160

True or false. Consider a binomial distribution with 15 trials. Look at a table showing binomial probabilities for various values of p, the probability of success on a single trial. For large values of p, the distribution is skewed to the left.

Consider a binomial distribution with 15 trials. What is the expected value of this distribution if the probability of success on a single trial is 0.8?

A.19

B.11

C.18

D.12

E.2

You can use the random number table to simulate outcomes from a given discrete probability distribution. Jose plays basketball and has probability 0.2 of making a free-throw shot. Let x be the random variable that counts the number of successful shots out of 10 attempts. Consider the digits 0 through 9 of the random number table. Since Jose has a 20% chance of making a shot, assign the digits 0 through 1 to "making a basket from the free-throw line" and the digits 2 through 9 to "missing the shot." Do 20% of possible digits 0 through 9 represent "making a basket"?

a.YES

B. NO