# Quiz 33: Binomial and Poisson Distributions

Business

Q 1Q 1

Which of the following options does NOT describe a binomial situation?
A) The number of items in considered defective/good each day
B) The value of sales made by a salesman each day
C) How many days in a month a company generate more than or less than €2,000 revenue
D) The number of days 'accident free' on a building site each month

Free

Multiple Choice

B

Q 2Q 2

In a binomial situation with p = 0.24 and n = 12 what is the probability of x = 3 (2 decimal places)?
A) 0.23
B) 0.24
C) 0.25
D) 0.26

Free

Multiple Choice

D

Q 3Q 3

A IT distribution company in Hong Kong gives a bonus to salespeople that generate more than HK$180,000 in a single day. On average this happens 5% of the time. If the company employs 20 salespeople, what is the probability of paying exactly 1 bonus on any particular day (give as a percentage, 0 decimal places)?
A) 37%
B) 38%
C) 39%
D) 40%

Free

Multiple Choice

B

Q 4Q 4

In a binomial trial of p = 0.35 and n = 10 what are the chances of x < 2?
A) 5.3%
B) 6.4%
C) 7.7%
D) 8.6%

Free

Multiple Choice

Q 5Q 5

A Swedish timber mill produces planks of wood. These are tested and rejected if they are too thick or too thin. If samples of 200 planks are tested and the chance of any single plank being rejected is 2%, what is the mean number of planks in each sample that will be rejected?
A) 2
B) 3
C) 4
D) 5

Free

Multiple Choice

Q 6Q 6

Which of the following options is NOT an example of a poisson situation?
A) The number of defective items produced on machine each day
B) The number of complaints handled by a call centre each day
C) The number of breakdowns per month in a fleet of taxis
D) The number of successful or unsuccessful calls made by a salesperson

Free

Multiple Choice

Q 7Q 7

In a poisson situation where m = 0.85 find the probability that x = 2 (as a percentage, 1 decimal place)
A) 15.4%
B) 16.3%
C) 17.8%
D) 18.2%

Free

Multiple Choice

Q 8Q 8

A call centre receives 30 calls per minute on average. What is the probability that it will receive exactly 40 calls in a minute (3 decimal places)?
A) 0.012
B) 0.014
C) 0.016
D) 0.018

Free

Multiple Choice

Q 9Q 9

On average a taxi firm has 1.5 breakdowns every 2 weeks. Find the probability that there will be 1 or 2 breakdowns in a 4 week period.
A) 34.2%
B) 35.6%
C) 36.1%
D) 37.3%

Free

Multiple Choice

Q 10Q 10

Use a poisson approximation to the binomial to work out the probability that there will be less than two faulty electric motors in a box of 100 with a defect rate of 0.5% (as a percentage, 1 decimal place)
A) 3.8%
B) 4.0%
C) 4.2%
D) 4.4%

Free

Multiple Choice