Parts a) and b) are not related. All are compulsory.

a) Using Z tables, find P(Z < -2.4) and P(Z < 2.4). Would you expect these values to be low or high? Briefly explain the reasoning behind your answers.

b) Daily customer spend, X ($), at a shoe store Run time is normally distributed with a population mean, , of $220 and a population standard deviation, , of $20.

i) Find the probability that the amount spent by a customer is less than $240. SHOW YOUR WORKINGS.

ii) Find the probability that the amount spent by a customer lies between $195 and $240. SHOW YOUR WORKINGS.