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Chapter 4: Q.4.10 (page 254)

A trainer is teaching a dolphin to do tricks. The probability that the dolphin successfully performs the trick is 35%, and the probability that the dolphin does not successfully perform the trick is 65%. Out of 20 attempts, you want to find the probability that the dolphin succeeds 12 times. State the probability question mathematically.

Short Answer

Expert verified

The probability question is stated mathematically as to findP(X=12)

Step by step solution

01

Content Introduction

We are given the information:

The probability that the dolphin successfully performs the trick is 35%

the probability that the dolphin does not successfully perform the trick is65%

02

Content Explanation

Here the random variable

X=numberofsuccessfulperformancesoftricksbydolphinoutof20attempts.Xassumesthevalues0,1,2,3,........,20

The probability that the dolphin successfully performs the trick is role="math" localid="1648148479492" p=35%

the probability that the dolphin does not successfully perform the trick is q=65%=0.65

The number of attempts by dolphin is n=20

Therefore, The probability question is stated mathematically as to findP(X=12)

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