MATH 225N STATISTICS FINAL
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.)
Perfect. Your hard work is paying off �
5
14
19
24
Answer Explanation
Correct answer:
19
The parameters p and n represent the probability of success on any given
trial and the total number of trials, respectively. In this case, the total
number of trials, or tosses, is n=19.
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.
Great work! That's correct.
0 point 6 7 5$$0.6750 point 6 7 5 - correct
, Answer Explanation
Correct answers:
0 point 6 7 5 $0.675$0.675
The parameters p and n represent the probability of success on any given
trial and the total number of trials, respectively. In this case, success is a
strike, so p=0.675.
The probability of winning on an arcade game is 0.568. If you play the
arcade game 22 times, what is the probability of winning more than 15
times?
Round your answer to three decimal places.
Answer 1:
Keep trying - mistakes can help us grow.
point 1 4$$.14point 1 4 - incorrect
Answer 2:
Keep trying - mistakes can help us grow.
0 point 1 4$$0.140 point 1 4 - incorrect
Answer Explanation
Correct answers:
0 point 0 9 6 $0.096$0.096
This probability can be found using the binomial distribution with success
probability p=0.568 and 22 trials. To find the probability that more than
15 of the games are wins, use a calculator or computer:
P(X>15)=1−binomcdf(22,0.568,15)≈0.096.
, A weighted coin has a 0.55 probability of landing on heads. If you toss the
coin 14 times, what is the probability of getting heads exactly 9 times?
(Round your answer to 3 decimal places if necessary.)
Answer 1:
Not quite - review the answer explanation to help get the next one.
27$$2727 - incorrect
Answer 2:
Keep trying - mistakes can help us grow.
point 1 4$$.14point 1 4 - incorrect
Answer Explanation
Correct answers:
0 point 1 7 0 $0.170$0.170
This probability can be found using the binomial distribution with success
probability p=0.55 and 14 trials. To find the probability that exactly 9 of
the tosses are heads, use a calculator or computer:
P(X=9)=binompdf(14,0.55,9)≈0.170.
Consider how the following scenario could be modeled with a binomial
distribution, and answer the question that follows.
54.4% of tickets sold to a movie are sold with a popcorn coupon, and
45.6% are not. You want to calculate the probability of selling exactly 6
tickets with popcorn coupons out of 10 total tickets (or 6 successes in 10
trials).
What value should you use for the parameter p?
Well done! You got it right.
Identify the parameter n in the following binomial distribution scenario. A
weighted coin has a 0.441 probability of landing on heads and a 0.559
probability of landing on tails. If you toss the coin 19 times, we want to know
the probability of getting heads more than 5 times. (Consider a toss of heads
as success in the binomial distribution.)
Perfect. Your hard work is paying off �
5
14
19
24
Answer Explanation
Correct answer:
19
The parameters p and n represent the probability of success on any given
trial and the total number of trials, respectively. In this case, the total
number of trials, or tosses, is n=19.
Give the numerical value of the parameter p in the following binomial
distribution scenario.
A softball pitcher has a 0.675 probability of throwing a strike for each pitch
and a 0.325 probability of throwing a ball. If the softball pitcher throws 29
pitches, we want to know the probability that exactly 19 of them are strikes.
Consider strikes as successes in the binomial distribution. Do not include p=
in your answer.
Great work! That's correct.
0 point 6 7 5$$0.6750 point 6 7 5 - correct
, Answer Explanation
Correct answers:
0 point 6 7 5 $0.675$0.675
The parameters p and n represent the probability of success on any given
trial and the total number of trials, respectively. In this case, success is a
strike, so p=0.675.
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 1:
Keep trying - mistakes can help us grow.
point 1 4$$.14point 1 4 - incorrect
Answer 2:
Keep trying - mistakes can help us grow.
0 point 1 4$$0.140 point 1 4 - incorrect
Answer Explanation
Correct answers:
0 point 0 9 6 $0.096$0.096
This probability can be found using the binomial distribution with success
probability p=0.568 and 22 trials. To find the probability that more than
15 of the games are wins, use a calculator or computer:
P(X>15)=1−binomcdf(22,0.568,15)≈0.096.
, 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 1:
Not quite - review the answer explanation to help get the next one.
27$$2727 - incorrect
Answer 2:
Keep trying - mistakes can help us grow.
point 1 4$$.14point 1 4 - incorrect
Answer Explanation
Correct answers:
0 point 1 7 0 $0.170$0.170
This probability can be found using the binomial distribution with success
probability p=0.55 and 14 trials. To find the probability that exactly 9 of
the tosses are heads, use a calculator or computer:
P(X=9)=binompdf(14,0.55,9)≈0.170.
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?
Well done! You got it right.
