Description
Week 4: Probability
Week | Assignments | Due Date |
Week 4 | Graded Discussion | Suggested Due Date—
Initial Post: Wednesday of Week 4
Due Date— Responses: Sunday of Week 4 [Have two posts on two different days] |
Knewton Homework Assignments
Distribution with Probability Rules – Excel Evaluating Probability with the Binomial Distribution Basic Probability Contingency Tables Mutually Exclusive Events Probability Terminology and Notation |
Sunday of Week 4 | |
Week 4 Quiz | Sunday of Week 4 |
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Week 4 Assignment – Evaluating Probability with the Binomial Distribution
Activity 1
Question
A weighted coin has a 0.55 probability of landing on heads. If you toss the coin 14 times, what is the probability of getting heads exactly 9 times? (Round your answer to 3 decimal places if necessary.)
Answer
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Activity 2
Question
A weighted coin has a 0.455 probability of landing on heads. If you toss the coin 27 times, what is the probability of getting heads more than 12 times? (Round your answer to 3 decimal places if necessary.)
Answer
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Activity 3
Question
Identify the parameters p and n in the following binomial distribution scenario. A basketball player has a 0.511 probability of making a free throw and a 0.489 probability of missing. If the player shoots 25 free throws, we want to know the probability that he makes no more than 10 of them. (Consider made free throws as successes in the binomial distribution.)
Answer
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Activity 4
Question
Identify the parameter n in the following binomial distribution scenario. A weighted coin has a 0.449 probability of landing on heads and a 0.551 probability of landing on tails. If you toss the coin 15 times, we want to know the probability of getting heads no more than 8 times. (Consider a toss of heads as success in the binomial distribution.)
Answer
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Activity 5
Question
Give the numerical value of the parameter p in the following binomial distribution scenario.
The probability of buying a movie ticket with a popcorn coupon is 0.629 and without a popcorn coupon is 0.371. If you buy 29 movie tickets, we want to know the probability that more than 16 of the tickets have popcorn coupons.
Consider tickets with popcorn coupons as successes in the binomial distribution. Do not include p= in your answer.
Provide your answer below:
Answer
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Activity 6
Question
Identify the parameter p in the following binomial distribution scenario. The probability of winning an arcade game is 0.403 and the probability of losing is 0.597. If you play the arcade game 24 times, we want to know the probability of winning more than 7 times. (Consider winning as a success in the binomial distribution.)
- 184
- 403
- 597
- 816
Answer
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Activity 7
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.)
What is the correct answer?
- 5
- 14
- 19
- 24
Answer
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Activity 8
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?
Round your answer to three decimal places
Provide your answer below:
Answer
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Activity 9
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?
Answer
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Activity 10
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)
Answer
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Activity 11
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?
Answer
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Activity 12
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.
Answer
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Activity 13
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).
Answer
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Activity 14
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.
Answer
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Activity 15
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?
Round your answer to three decimal places.
Answer
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Activity 16
Question
A softball pitcher has a 0.507 probability of throwing a strike for each pitch. If the softball pitcher throws 15 pitches, what is the probability that more than 8 of them are strikes? (Round your answer to 3 decimal places if necessary)
Answer
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