Exam 33: Binomial and Poisson Distributions

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)

In a binomial situation with p = 0.24 and n = 12 what is the probability of x = 3 (2 decimal places)?

Which of the following options does NOT describe a binomial situation?

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 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?

In a binomial trial of p = 0.35 and n = 10 what are the chances of x < 2?

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)?

In a poisson situation where m = 0.85 find the probability that x = 2 (as a percentage, 1 decimal place)

Which of the following options is NOT an example of a poisson situation?

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.