Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

1. Passenger arrivals at Jackson\'s Greyhound station follows a Poisson distribu

ID: 3358300 • Letter: 1

Question

1. Passenger arrivals at Jackson's Greyhound station follows a Poisson distribution with average number of 4 arrivals per hour. What is of this distribution? the rean A. x! (x-factorial) B. 0 C. e (e-2.72) D. 2. Compute the probability that 2 passengers will arrive during any hour in Question 1. A. 0.2484 B. 0.1465 C. 0.6256 D. 0.0122 E. 0.4198 3. In Question 1, compute the probability that no passenger wil1 arr during any hour. A. 0.0183 B. 0.1465 C. 0.3256 D. 0.1915 E. 0.4198 4. Vehicle thefts in any large u.s. city follows a Poisson distribution with 1.16 percent of vehicles stolen daily. Estimate how many of the 1,200 cars that are parked at Boston Harbour front each day might be stolen. A. 20 B. 61 C. 32 D. 48 E. 14 5. In Question 4, what is the chance that none of the cars will be stolen? o.0000 B. 0.9999 D. 0.2222 E. 0.3333 6. What is the variance of car thefts in Question 4? A. 12 B. 13 c. 14 D. 15 E. 16 7. What is the standard deviation of car thefts in Question 4? A. 0.4 B. 1.5 C. 2.6 E. 4.8 8. Which of the following indicates a discrete probability distribution? A. The Bell Curve B. The Uniform probability distribution C. The Normal probability distribution

Explanation / Answer

Q1) Option D is Correct

Q2) P(X = 2)

Use Excel function

POISSON.DIST(2,4,FALSE) = 0.1465

Option B is Correct

Q3) P(X = 0)

Use Excel function

POISSON.DIST(2,4,FALSE) = 0.0183

Option A is Correct

Q4) 1200*0.0116 = 14

Option E is Correct