(A) 3.87
(B) 5.00
(C) 8.66
(D) 15.00
(E) 75.00
- A tire manufacturer is testing the stopping distance of a new model of tire. The company uses the
same vehicle and driver and runs the test on dry pavement. The car travels at 40 miles per hour, and
the driver is instructed to stop as quickly as possible when given a signal. The stopping distances
were approximately normally distributed, with a mean of 190 feet and a standard deviation of 7 feet.
What is the approximate probability that a particular test results in a stopping distance of more than
200 feet?
(A) 0.05
(B) 0.08
(C) 0.15
(D) 0.50
(E) 0.92
- A restaurant is starting a promotion in which each customer gets to throw a dart at a specially
designed dartboard. The prizes are gift certificates, and the value is determined by the region of the
dartboard hit by the dart. (There is a substantial chance of not winning any prize.) The restaurant
owner has estimated, based on past performance, that the average of the amounts awarded per
customer is $0.75 and the standard deviation of the amounts is $3.15. If the owner decides to double
all prize values and add $1.00 to the amount won (even if the customer hits $0), what would be the
expected value and standard deviation of the amounts awarded, X , assuming customer skills stay the
same?
(A) E (X ) = $1.50, s (X ) = $3.15
(B) E (X ) = $1.50, s (X ) = $6.30
(C) E (X ) = $1.50, s (X ) = $7.30
(D) E (X ) = $2.50, s (X ) = $6.30
(E) E (X ) = $2.50, s (X ) = $7.30
- In a particular game, a player has a chance of getting 0, 1, or 2 points on a turn, according to the
following probability distribution:
What is the probability that, on two independent turns of the game, a player scores exactly 3 points?
(A) 0.03
(B) 0.06
(C) 0.07
(D) 0.12
(E) 0.40
