09KC Binomial Probability Distributions & Poisson Probability Distributions

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Question #1

Consider the Poisson distribution where the mean is 6.2398. What is probability that the number of occurences is at least 8? (Round to the nearest ten-thousandth.)

A 0.2896

B 0.2296

C 0.2866

D 0.1896

Question #2

The Poisson distribution calculator is located directly under the menu option for the binomial distribution.
Consider the Poisson distribution where the mean is 4.3. What is probability that the number of occurrences is 10? (Round to the nearest ten-thousandth.)

A 0.0088

B 0.0081

C 0.0071

D 0.0091

Question #3

Consider the binomial distribution where n=17 and p=0.8524. What is probability that the number of successes is fewer than 14? (Round to the nearest ten-thousandth.)

A 0.2351

B 0.2331

C 0.2221

D 0.2111

Question #4

STATDISK has the ability to calculate the binomial and Poisson probabilities. The next questions are designed to introduce you to these functions within STATDISK. For more information, please review the following tutorial. Always feel free to pause and/or restart the video.
Consider the binomial distribution where n=23 and p=0.2315. What is probability that the number of successes is 10? (Round to the nearest ten-thousandth.)

A 0.0165

B 0.0115

C 0.0155

D 0.0215

Question #5

Acme’s widgets have a defect rate of 0.01%. Estimate the probability that 26 widgets are broken in a 100000-pack? (Express your answer as a decimal rounded to the nearest ten-thousandth.)

A 0.001

B 0

C 1

D 2

Question #6

In one year, 939 worldwide, 5.0+ earthquakes were recorded. Assuming the Poisson distribution, would it be unusual for 6 worldwide, 5.0+ earthquakes to occur in a day?

A 6 worldwide, 5.0+ earthquake would NOT be unusual because the probability of 6 or fewer successes is NOT 0.05 or less.

B 6 worldwide, 5.0+ earthquake would NOT be unusual because the z-score of 6 is NOT between -2 and 2.

C 6 worldwide, 5.0+ earthquake would NOT be unusual because the probability of 6 or more successes is NOT 0.05 or less.

D 6 worldwide, 5.0+ earthquake would be unusual because the probability of 6 or more successes is NOT 0.05 or less.

E 6 worldwide, 5.0+ earthquake would be unusual because the z-score of 6 is NOT between -2 and 2.

F 6 worldwide, 5.0+ earthquake would be unusual because the probability of 6 or more successes is 0.05 or less.

Question #7

In one year, 939 worldwide, 5.0+ earthquakes were recorded. Assuming the Poisson distribution, find the standard deviation for the number of earthquakes per day. (Round to the nearest ten-thousandth.)

A 1.6088

B 1.5039

C 1.6069

D 1.6039

Question #8

In one year, 939 worldwide, 5.0+ earthquakes were recorded. Assuming the Poisson distribution, would 1 worldwide, 5.0+ earthquake occurring in a day be significantly low?

A 1 worldwide, 5.0+ earthquake would NOT be significantly low because the probability of 1 or fewer successes is NOT 0.05 or less.

B 1 worldwide, 5.0+ earthquake would NOT be significantly low because the z-score of 1 is between -2 and 2.

C 1 worldwide, 5.0+ earthquake would NOT be significantly low because the z-score of 1 is NOT between -2 and 2.

D 1 worldwide, 5.0+ earthquake would be significantly low because the z-score of 1 is between -2 and 2.

E 1 worldwide, 5.0+ earthquake would be significantly low because the z-score of 1 is NOT between -2 and 2.

F 1 worldwide, 5.0+ earthquake would be significantly low because the probability of 1 or more successes is NOT 0.05 or less.

Question #9

In one year, 939 worldwide, 5.0+ earthquakes were recorded. Assuming the Poisson distribution, what is the probability of at most 1 worldwide earthquake with a magnitude of 5.0 or above occurring per day? (Express your answer as a decimal rounded to the nearest ten-thousandth.)

A 0.2727

B 0.2227

C 0.2929

D 0.2777

Question #10

In one year, 939 worldwide, 5.0+ earthquakes were recorded. Assuming the Poisson distribution, what is the probability of exactly 4 worldwide earthquakes with a magnitude of 5.0 or above occurring per day? (Express your answer as a decimal rounded to the nearest ten-thousandth.)

A 0.1993

B 0.1339

C 0.1393

D 0.1193

Question #11

In one year, 939 worldwide, 5.0+ earthquakes were recorded. Assuming the Poisson distribution, find the mean number of earthquakes per day. (Round to the nearest ten-thousandth.)

A 2.5726

B 2.5576

C 2.3326

D 2.2256

Question #12

Acme’s widgets have a defect rate of 10%. Would it be unusual to purchase a 15-pack containing 1 broken widget?

A Purchasing a 15-pack containing 1 broken widget is unusual because the probability of 1 or more successes is 0.05 or less.

B Purchasing a 15-pack containing 1 broken widget is unusual because the probability of 1 or more successes is NOT 0.05 or less.

C Purchasing a 15-pack containing 1 broken widget is NOT unusual because the probability of 1 or more successes is NOT 0.05 or less.

D Purchasing a 15-pack containing 1 broken widget is NOT unusual because the probability of 1 or fewer successes is 0.05 or less.

E Purchasing a 15-pack containing 1 broken widget is NOT unusual because the z-score of 1 is between -2 and 2.

F Purchasing a 15-pack containing 1 broken widget is NOT unusual because the z-score of 1 is NOT between -2 and 2.

Question #13

Acme’s widgets have a defect rate of 10%. Find the standard deviation for the number of widgets that are broken in a 15-pack? (Round to the nearest ten-thousandth.)

A 1.1961

B 1.1169

C 1.1161

D 1.1619

Question #14

Acme’s widgets have a defect rate of 10%. Would 2 broken widgets in a 15-pack be significantly high?

A 2 broken widgets in a 15-pack would NOT be significantly high because the z-score of 2 is between -2 and 2.

B 2 broken widgets in a 15-pack would be significantly high because the probability of 2 or more successes is 0.05 or less.

C 2 broken widgets in a 15-pack would be significantly high because the probability of 2 or fewer successes is NOT 0.05 or less.

D 2 broken widgets in a 15-pack would NOT be significantly high because the probability of 2 or more successes is NOT 0.05 or less.

E 2 broken widgets in a 15-pack would NOT be significantly high because the z-score of 2 is NOT between -2 and 2.

F 2 broken widgets in a 15-pack would NOT be significantly high because the probability of 2 or fewer successes is NOT 0.05 or less.

Question #15

Acme’s widgets have a defect rate of 10%. What is the probability that at least 2 widgets are broken in a 15-pack? (Express your answer as a decimal rounded to the nearest ten-thousandth.)

A 0.431

B 0.446

C 0.451

D 0.541

Question #16

Acme’s widgets have a defect rate of 10%. Find the probability that 3 widgets are broken in a 15-pack? (Express your answer as a decimal rounded to the nearest ten-thousandth.)

A 0.1285

B 0.1385

C 0.1185

D 0.1258

Question #17

Acme’s widgets have a defect rate of 10%. Find the probability that 2 widgets are broken in a 3-pack? (Express your answer as a decimal rounded to the nearest ten-thousandth.)

A 0.027

B 0.037

C 0.029

D 0.072

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09KC Binomial Probability Distributions & Poisson Probability Distributions

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