According to Case Study 4–2 in Chapter 4, the probability that a baseball player will have no hits in 10 trips to the plate is .0563, given that this player has a batting average of .250. Using the...

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According to Case Study 4–2 in Chapter 4, the probability that a baseball player will have no hits in 10 trips to the plate is .0563, given that this player has a batting average of .250. Using the binomial formula, show that this probability is indeed .0563.




Answered Same DayDec 25, 2021

Answer To: According to Case Study 4–2 in Chapter 4, the probability that a baseball player will have no hits...

Robert answered on Dec 25 2021
122 Votes
P (X = 0), n = 10, p = 0.25
X ∼ Binomial(n = 10, p = 0.25)
P (X = 0) =
(
n
x
)
px(1 − p)n−x =

(10
0
)
(0.25)0(1 − 0.25)10−0 = 1 ∗ (0.25)0(0.75)10 =
0.056314 ≈ 0.056314 ≈ 0.056
P (X = 0) = 0.0563
Using excel function BinomDist(0,10,0.25,false) or TI-83/84 function
binompdf(10,0.25,0),...
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