Unit 6 Review B Math 4

Which of the following distributions is/are legitimate probability distributions.

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An insurance company charges Ted E. Baer $1400 per year for insurance on his home. The company has predicted that there is a 10% chance that Ted will make a claim on the policy of $5000. Create a probability distribution and determine what the insurance company can expect to make on this policy, on average?

• $1400

• $900

• $3600

• $1200

A $100 bill, two $10 bills, three $5 bills and four $1 bills are placed in a bag. If a bill is chosen at random, what is the expected value for the amount chosen?

Expected Value = $ _______ (To the nearest penny)

A game consists of rolling a colored die with three blue sides, two red sides, and one white side. A roll of blue loses. A roll of red pays $3.00. A roll of white pays $5.00. The charge to play the game is $2.00. Would you play the game? Why or why not?

• E(x)= -$.17

  Students should play the game because the expected value is negative

• E(x)= $.32

  Students should play the game because the expected value is positive

• E(x)= $.32

  Students should not play the game because the expected value is positive

• E(x)= -$.17

  Students should not play the game because the expected value is negative.

Eighty percent of new car buyers choose automatic transmissions. For a group of 10 new car buyers, find

the probability that exactly 7 choose an automatic transmission

Eighty percent of new car buyers choose automatic transmissions. For a group of 10 new car buyers, find

the probability that at most 6 choose an automatic transmission.

Eighty percent of new car buyers choose automatic transmissions. For a group of 10 new car buyers, find

the probability that more than 5 choose an automatic transmission.

• 0.4679

• 0.9672

• 0.2682

The circumference of a basketball follows a Normal distribution with a mean of 29.5 inches and a standard deviation of 0.1 inches. Draw and label a Normal curve and use your curve to answer the following: What percent of basketballs are at least 29.6 inches in diameter?

• 0.1587

• 0.0228

• 0.6827

• 0.1333

The circumference of a basketball follows a Normal distribution with a mean of 29.5 inches and a standard deviation of 0.1 inches. What percent of basketballs are less than 29.3 inches in diameter?

• 0.1333

• 0.6827

• 0.0228

• 0.1587

The number of minutes needed to finish the Probability Distributions Unit Test is Normally distributed with a mean of 70 minutes and a standard deviation of10 minutes. What proportion of students will finish the test in less than 55 minutes?

• 0.0668

• 0.0368

• 0.0500

• 0.5000