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Chapter 4: Q.129 (page 299)

Find the probability that her cats will wake her up no more than five times next week.

a.0.5000b.0.9329c.0.0378d.0.0671

Short Answer

Expert verified

The answer is Option (d) is the correct answerP(X鈮�5)=0.0571.

Step by step solution

01

Introduction 

Probability is a discipline of mathematics concerned with numerical explanations of the likelihood of an event occurring or the truth of a claim. The probability of an event is a number between 0 and 1, with 0 indicating impossibility and 1 indicating certainty, broadly speaking.

02

Given

Mrs. Plum's cats wake her up on average 10 times every week.

03

Formula used 

This is the formula we used P(X=x)=e-位脳位xx!.

04

Explanation 

P(X鈮�5)=P(X=0)+P(X=1)+P(X=2)+P(X=3)+P(X=4)

+P(X=5)

P(X鈮�5)=e-10脳1000!+e-10脳1011!+e-10脳1022!+e-10脳1033!+e-10脳1044!+e-10脳1055!

it is near about given P(X鈮�5)=0.057085鈮�0.0571

so, the final answer we have ,

We can easily see that Option D is right based on the calculations above.

P(X鈮�5)=0.0571.

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