BINOMIAL
1.
A car maker makes two cars, Car A and Car B, which the company wants to send to a
car magazine for writers determine which is higher quality. Both cars are tested by 15
writers. Assume that there is actually no difference in the quality of the brands (same
cars, just different colors, decals, and styling). What is the probability that ten or more
writers would state a preference for
a.
Car A
b.
Either Car A or Car B
2.
Suppose a die is tossed 12 times. What is the probability of getting exactly 4 sixes?
3.
There are 40 people in a low security prison. The probability that an inmate can escape
is .2. What is the probability that exactly 15 inmates escape from prison.
4.
Andre Ethier had a batting average of .300 last year for the Dodgers. What is the
probability of him having 10 at bats without a hit?
5.
In a headon collision, the probability of the person in the passenger seat getting injured
is 60%, the probability of the driver getting injured is 40%, and the probability of no
injuries is 30%. In a randomly selected headon collision, find the probability
distribution for Y, the number of passengers injured in a headon collision?
6.
The probability of blocking a soccer penalty shoot
is .12. Suppose at practice, a keeper
takes 20 penalty shots from his team
mates. What is the probability that:
a.
Blocks at least 10
b.
Blocks none
c.
Blocks at least 8 but no more than 12
7.
You have just ordered 150 iPads for your company. Each iPad has a 4% probability of
not working. You randomly select 10 iPads to test in your company.
a.
What is the probability that exactly 3 are broken?
b.
What is the probability that all 10 do not work?
c.
What is the probability that all 10 work?
8.
Quarterback Jake Heaps is successful at throwing a football from 40 yards into a trash
can with a probability of p. Assume he tries 10 times and each time the tries are
independent of each other.
a.
What is the probability he makes all 10 if p=.6?
b.
What is the probability he makes at least 3?
9.
BYU Guard Jimmer Fredette shoots 89.4 percent from the freethrow line. Assuming
that that each shot is independent, if Jimmer was fouled while shooting a 3 pointer,
what is the probability that He will make at least 2 of the 3 free throws?
10. You and your 4 best friends want to watch a movie and eat popcorn at your apartment.
You have a sensory microwave oven that shutsoff automatically when the popcorn is
ready. However, you have found that the oven has malfunction rate of .05 causing the
popcorn to burn. If each of you wants your own bag of popcorn, what is the probability
that:
a.
All the bags of popcorn will burn?
b.
No more than half the bags of popcorn will burn?
c.
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 Spring '08
 Staff
 Economics, Normal Distribution, Probability

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