D) Let p represent the probability of a successful long hit. What values of p will make the long hit better than the short hit in terms of improving the expected value of the score? Miguel is a golfer, and he plays on the same course each week. The following table shows the probability distribution for his score on one particular hole, known as the Water Hole.Score346.Probability0.150.400.25150.05Let the random variable X represent Miguel's score on the Water Hole. In golf, lower scores are better. The name of the Water Hole comes from the small lake that lies between the tee, where the ball is first hit, and the hole. Miquel has two approaches to hitting the ball from the tee, the short hit and the long hit. The short hit results in the ball landingbefore the lake. The values of X in the table are based on the short hit. The long hit, if successful, results in the ball traveling over the lake and landing on the other side. The two approaches are shown in the following diagram.LongShortLakeTeeHoleA potential issue with the long hit is that the ball might land in the water, which is not a good outcome. Miguel thinks that if the long hit is successful, his expected value improves to 4.2. However, if the long hit fails and the ball lands in the water, hisexpected value would be worse and increases to 5.4.(c) Suppose the probability of a successful long hit is 0.4. Which approach, the short hit or the long hit, is better in terms of improving the expected value of the score? Justify your answer.

Name: D) Let p represent the probability of a successful long hit. What valu
Uploaded: 2024-03-20T07:06:41.000Z
Channel: Bartleby
Description: D) Let p represent the probability of a successful long hit. What values of p will make the long hit better than the short hit in terms of improving the expected value of the score? Miguel is a golfer, and he plays on the same course each week. The f