statistics

T PI : IN Flt BABILIT'I'D IE 11 CI". 1 ABC Couriers [a parcel delivery company}, has found that the delivery time of parcels to clients in the Pieterman'llburg [PME] area after airport collection is normally distributed with a mean delivery time equal to 45 minutes \"1:45} and a standard deviation of 3 minutes {data}. For a newly arrived consignment at PMB airport, what is the probability that a randomly selected parcel will take: .1. Less than 43 minutes to deliver? b. More than 50 minutes to deliver? 1:. Between 45 and 51 minutes to deliver to the client? all 2 A coffeedispensing machine used in cafeterias is set to dispense coffee with an average ll of 23'!) ml and a standard deviation of 10 ml per cup. Assume that the volume dispensed is normally distributed. a. for a randomly selected cup dispensed by the machine, what is the probability that: a. The cup is lled to more than 235 ml? b. The cup is lled t between 235 ml and 2-15 ml? 1:. The cup is lled with less than Eli} mml? on. 3 Norman weighed valencia oranges. Suppose that the weight of valencia orang is normallyr distributed with mean u = 3 ounces, and standard deviation o = 1.5 ounces. We can write it *- N is, 1.5}. Answer the following questions: a. If you randomly select a valencia orange. what is the probability that it weighs more than 11.5 ounces? b. what is the probability that an orange selected at random weighs less than 3.? ounces? c. 1livhat is the probability that oranges weigh between 5.3 and 3.9 ounces