An automobile dealer has kept records on the customers who visited his showroom. Forty percent of the people who visited his dealership were female. Furthermore, his records show that 35% of the females who visited his dealership purchased an automobile, while 20% of the males who visited his dealership purchased an automobile. Let A1 = the event that the customer is female A2 = the event that the customer is male Answer the following questions. Question 22 O I 6 points A car salesperson has just informed us that he sold a car to a customer. What is the probability that the customer was female? Your answer should be in 56 and have two digits after the period. 50, if your answer is 50.002%, enter 50.00. Answer: 63.64 Question 23 0 I 4 points What is the probability that a customer entering the showroom will buy an automobile? Your answer should be in % and have two digits after the period. So, if your answer is 50.02396, enter 50.02. Answer: 55.00 Question 24 0 I 6 points If you were to randomly draw 400 females who visited the car dealership {from the population described above}, what would be the probability that the sample proportion of females who purchased an automobile is larger than 37 percent? Your answer should be in 96 and have two digits after the period. So, if your answer is 50.02396, enter 50.02