Question
MATH399 Applied Managerial Statistics
Week 4 Assignment Binomial Distribution
QuestionA softball pitcher has a 0.431 probability of
throwing a strike for each pitch. If the softball pitcher throws 22
pitches, what is the probability that exactly 12 of them are
strikes?
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Round your answer to 2 decimal places.
Question65% of the people in Missouri pass the driver’s test
on the first attempt. A group of 7 people took the test. Which of
the following equations correctly calculate the probability that at
least 3 in the group pass their driver’s tests in their first
attempt?
Insert the correct symbol to represent the probability.
QuestionGive the numerical value of the parameter p in the
following binomial distribution scenario.
A softball pitcher has a 0.692 probability of throwing a
strike for each pitch and a 0.308 probability of throwing a ball.
If the softball pitcher throws 29 pitches, we want to know the
probability that more than 17 of them are strikes.
Consider strikes as successes in the binomial distribution.
Do not include p= in your answer.
QuestionConsider how the following scenario could be modeled
with a binomial distribution, and answer the question that follows.
54.4% of tickets sold to a movie are sold with a popcorn
coupon, and 45.6% are not. You want to calculate the probability of
selling exactly 6 tickets with popcorn coupons out of 10 total
tickets (or 6successes in 10 trials).
What value should you use for the parameter p?
QuestionGive the numerical value of the parameter p in the
following binomial distribution scenario.
A softball pitcher has a 0.721 probability of throwing a
strike for each pitch and a 0.279 probability of throwing a ball.
If the softball pitcher throws 19 pitches, we want to know the
probability that more than 15 of them are strikes.
Consider strikes as successes in the binomial distribution.
Do not include p= in your answer.
QuestionGive the numerical value of the parameter n in the
following binomial distribution scenario.
The probability of buying a movie ticket with a popcorn
coupon is 0.597 and without a popcorn coupon is 0.403. If you buy
18 movie tickets, we want to know the probability that no more than
13 of the tickets have popcorn coupons.
Consider tickets with popcorn coupons as successes in the
binomial distribution. Do not include n=in your answer.
Question65% of the people in Missouri pass the driver’s test
on the first attempt. A group of 5 people took the test. What is
the probability that less than 3 in the group pass their driver’s
tests in their first attempt? Round your answer to three decimal
places.
Remember: 65% = 0.65.
QuestionA softball pitcher has a 0.487 probability of
throwing a strike for each pitch. If the softball pitcher throws 29
pitches, what is the probability that no more than 14 of them are
strikes?
Insert the correct symbol to represent this
probability.












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