Discrete Distributions-Poisson [ACET (Actuarial Common Entrance Test) Statistics]: Questions 1 - 5 of 11
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Question 1
Question MCQ▾
A bank has an average random arrival rate of 3.2 customers every 4 minutes. What is the probability of getting exactly 10 customers during an 8-minute interval?
Choices
Choice (4) | Response | |
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a. | ||
b. | ||
c. | ||
d. |
Question 2
Question MCQ▾
Which probability distribution is suitable for calculating the number of air accidents in some unit of time?
Choices
Choice (4) | Response | |
---|---|---|
a. | Binomial | |
b. | Normal | |
c. | Geometric | |
d. | Poisson |
Question 3
Question MCQ▾
Exclusive Vines import Argentinian wine into Australia. They՚ve begun advertising on Facebook to direct traffic to their website where customers can order wine online. The number of click- through sales from the ad is Poisson distributed with a mean of 12 click through sales per day. The probability of getting exactly 10 click through sales in the first day is given by-
Choices
Choice (4) | Response | |
---|---|---|
a. | ||
b. | ||
c. | ||
d. |
Question 4
Question MCQ▾
If X follows Poisson distribution such that Find the mean & variance
Choices
Choice (4) | Response | |
---|---|---|
a. | 2,1 | |
b. | 2,2 | |
c. | 1,2 | |
d. | 1,1 |
Question 5
Question MCQ▾
If the standard deviation of a Poisson variable X is , then the probability that X is strictly positive is
Choices
Choice (4) | Response | |
---|---|---|
a. | ||
b. | ||
c. | ||
d. | None of the above |