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# Math 225N Week 4 Assignment – Evaluating Probability with the Binomial Distribution

## Math 225N Week 4 Assignment – Evaluating Probability with the Binomial Distribution

Week 4 Assignment – Evaluating Probability with the Binomial Distribution

Question

Identify the parameter n in the following binomial distribution scenario. A weighted coin has a 0.441 probability of landing on heads and a 0.559 probability of landing on tails.

If you toss the coin 19 times, we want to know the probability of getting heads more than 5 times. (Consider a toss of heads as success in the binomial distribution.)

1. 5
2. 14
3. 19
4. 24

Question

A softball pitcher has a 0.482 probability of throwing a strike for each pitch. If the softball pitcher throws 29 pitches, what is the probability that no more than 17 of them are strikes?

Question

A basketball player has a 0.689 probability of making a free throw. If the player shoots 18 free throws, what is the probability that she makes no more than 11 of them?

Question

The probability of buying a movie ticket with a popcorn coupon is 0.608. If you buy 10 movie tickets, what is the probability that more than 3 of the tickets have popcorn coupons? (Round your answer to 3 decimal places if necessary)

Question

Consider 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 6 successes in 10 trials).

What value should you use for the parameter p?

Question

Give the numerical value of the parameter p in the following binomial distribution scenario.

A softball pitcher has a 0.675 probability of throwing a strike for each pitch and a 0.325 probability of throwing a ball. If the softball pitcher throws 29 pitches, we want to know the probability that exactly 19 of them are strikes.Consider strikes as successes in the binomial distribution. Do not include p= in your answer.

Question

Identify the parameters p and n in the following binomial distribution scenario. The probability of winning an arcade game is 0.718 and the probability of losing is 0.282. If you play the arcade game 20 times, we want to know the probability of winning more than 15 times. (Consider winning as a success in the binomial distribution).

Question

Give the numerical value of the parameter p in the following binomial distribution scenario.

The probability of winning an arcade game is 0.632 and the probability of losing is 0.368. If you play the arcade game 10 times, we want to know the probability of winning no more than 8 times.

Consider winning as a success in the binomial distribution. Do not include p= in your answer.

Question

The probability of winning on an arcade game is 0.568. If you play the arcade game 22 times, what is the probability of winning more than 15 times?