Question 11 Suppose that in one area in California, 70% of all homeowners are insured against earthquake damage. twenty homeowners are to be selected at random; let X denote the number among the twenty who have earthquake insurance. What is the probability that at least two of the twenty selected have earthquake insurance? O 0.989 O 0.999 O 0.983 O 0.972 O 0.991

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Chapter1: Combinatorial Analysis
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**Question 11**

Suppose that in one area in California, 70% of all homeowners are insured against earthquake damage. Twenty homeowners are to be selected at random; let \(X\) denote the number among the twenty who have earthquake insurance. What is the probability that at least two of the twenty selected have earthquake insurance?

- ○ 0.989
- ○ 0.999
- ○ 0.983
- ○ 0.972
- ○ 0.991
Transcribed Image Text:**Question 11** Suppose that in one area in California, 70% of all homeowners are insured against earthquake damage. Twenty homeowners are to be selected at random; let \(X\) denote the number among the twenty who have earthquake insurance. What is the probability that at least two of the twenty selected have earthquake insurance? - ○ 0.989 - ○ 0.999 - ○ 0.983 - ○ 0.972 - ○ 0.991
Expert Solution
Step 1: Define the data

 From the information, given that

Let X denotes the number of home owners who have earthquake insurance which follows binomial distribution with the probability of success 0.70  among a random sample of 20 home owners has been randomly selected. 

That is,

 n= 20, p= 0.70.


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