1. A garden shop claims that 80% of all iris bulbs germinate and flower. A customer buys 8 bulbs.

a) What probability distribution is most likely to model the number of bulbs which germinate and flower? Explain why you have made your choice and give any parameter(s) for the distribution. (This will be the binomial, poisson or normal distribution)

Use your chosen probability distribution to find the probability that:

b) all of the bulbs germinate and flower

c) only half of the bulbs germinate and flower

d) more than 6 bulbs germinate and flower

e) at least one bulb fails to germinate and flower.

2. In a warehouse, accidents have been taking place at the rate of 2 every 3 months.

a) What probability distribution is most likely to model the number of accidents in a 3 month period? Explain why you have made your choice and give any parameter(s) for the distribution.

b) Find the mean and standard deviation of the number of accidents per year

c) What is the percentage of months with no accidents?

d) If a month is chosen at random, find the probability of at least one accident.