QUESTION 2

Erdi listens to music for Y minutes every day. Y is a random variable which may be modelled by a normal distribution with a mean of 55 minutes and a standard deviation of 23 minutes. Leave all answers in this question correct to 3 significant figures.

a)Find the probability that on a particular day the time Erdi spends listening to music is

i.Less than 45 minutes

ii.Between 50 and 100 minutes

b)Find the probability that on 14 randomly selected days Erdi spends more than 45 minutes listening to music on exactly 8 of those days