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Chapter 5: Q 38. (page 248)

Craps. Use the binomial probability formula to solve Problem 25(g). Compare your results.

Short Answer

Expert verified

The probabilities are:

PY=0=0.1303PY=1=0.3802PY=2=0.3697PY=3=0.1198

Step by step solution

01

Step 1. Given information.

The given statement is:

Use the binomial probability formula to solve Problem 25(g). Compare your results.

From problem number 25 we have the following information:

Three games have been played.

The probability of getting a win in the game is 0.493.

The different probability values are given by problem number 25 is:

PY=0=0.1303,PY=1=0.3802,PY=2=0.3697,PY=3=0.1198

02

Step 2. Use the binomial probability formula.

The formula is:

PY=y=nypy1-pn-y

Here the possible values of Yare 1, 2, or 3.

Therefore:

PY=0=300.49301-0.4933-0=110.5073=0.1303PY=1=310.49311-0.4933-1=30.4930.5072=0.3802PY=2=320.49321-0.4933-2=30.4930.5071=0.3697PY=3=330.49331-0.4933-3=10.11980.5071=0.1198

We can see that the probability distribution is identical to the stated probabilities.

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