3. A survey indicates that for each trip to a supermarket, a shopper spends an average of 43 minutes with a standard deviation of 12 minutes in the store. The lengths of time spent in the store are normally distributed and are represented by the variable X. A shopper enters the store. Find the probability that the shopper will be in the store for each interval of time listed below. 3a) Find the probability that the shopper will be in the store between 33 and 66 minutes. X -/ Hint: Convert the normal distribution X to Standard normal using Z formula Z = - and then look the Z-values from the table and then find the probability. 3b) Find the probability that the shopper will be in the store for more than 39 minutes. (2 points) X- H Hint: Convert the normal distribution X to Standard normal using Z formula Z = and then look the Z-values from the table and then find the probability. Really 3 c 4. What is the probability that the shopper in Example 3 will be in the supermarket between 31 and 58 minutes? (3 points)