Question

(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? Explain your reasoning.

Answer 1

Answer:

The probability of successful  long hit is greater than 0.7083

Step-by-step explanation:

Solution

The expected value for long hit is given below

P (successful hit) * 4.2 + P (Unsuccessful hit) *5.4

so,

= P * 4.2 + (1-p) * 5.4

= 5.4 - 1.2p

Now,

If the expected value of long hit is less than  that of the short it

Then,

5.4 - 1.2p <4.55

P> (5.4 - 4.55)/1.2

P> 0.7083

Therefore the probability of successful  long hit is greater than 0.7083

Note:

Due to my research and findings to this example, the complete question for  is attached below, i solved or Question 2(d) only