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Chapter 6: Q. 87 (page 428)

Take a spin Refer to Exercise 83. Calculate and interpret P(X鈮�7)

Short Answer

Expert verified

There are 7.26%chances that spinner would land in the blue region at most 7 times.

Step by step solution

01

Given Information

Number of trials (n)=12

Probability of success(p)=0.80

02

Simplification

Consider, Xbe the random variable that follows the binomial distribution with parameters n=12and p=0.80.

P(X鈮�7)can be calculated as:

P(X鈮�7)=P(X=0)+P(X=1)+鈥�.+P(X=7)=鈭�r=07Cr12脳(0.80)r脳(1-0.80)12-r=0.0726

Hence, the probability is0.0726

Interpretation:

There are 7.26%chances that spinner would land in the blue region at most 7 times.

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