-13 points MendStat14 45 094 My Notes Ask Your One professional golfer plays bes

Question

-13 points MendStat14 45 094 My Notes Ask Your One professional golfer plays best on short- distance holes. Experience has shown that the numbers x of shots required for 3-, 4-, and 5-par holes have the probability distributions shown in the table below Par-3 Holes Par-4 Heles Par-5 Heles Px) 0 12 080 006 002 prx) 0.15 0 80 004 001 Pix) 0.01 0 80 0.15 0.04 What is the golfer's expected score on these holes? (Enter your answers to two decimal places.) (a) A par-3 hole (b) A par-4 hole (c) A par-5 hole Need Help? Read itTaktoTuter

Explanation / Answer

Answers to Questions asked:
(a) 2.98

(b) 3.91

(c) 5.22

EXPLANATION:

(a)

par-3 hole:

x          p             xp

2         0.12          0.24

3         0.80         2.40

4         0.06        0.24

5         0.02       0.10

-----------------------------

Total             2.98

So,

Expected score = 2.98

(b)

x                   p                    xp

3                0.15                 0.45

4               0.80                  3.20

5              0.04                  0.20

6              0.01                  0.06

------------------------------------------------

Total                             3.91

So,

Expected scoe = 3.91

(c)

x                   f                    xf

4                0.01                  0.04

5               0.80                  4.00

6               0.15                  0.90

7              0.04                 0.28

--------------------------------------------

Total                        5.22

So,

Expected score = 5.22

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