Find the probability that all 6 claims are made by males under age 25.

MATLAB: An Introduction with Applications
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An Insurance company study shows that 70% of the auto insurance claims submitted for property damage were submitted by males user 25 years of age. Suppose 6 property damage claims involving automobiles are selected at random. Let X be the number of claims (among 6 the selected) that are made by males under age 25. 

Question 1

 

Find the probability that all 6 claims are made by males under age 25.

 

Expert Solution
Step 1

Given that 

n = 6 , p = 70% = 0.70 , q = 1 - p = 1 - 0.70 = 0.30

X ~ Binomial (n = 6 , p = 0.70)

X = Number of auto insurance claims submitted for property damage were submitted by males user 25 years of age.

p = Probability of auto insurance claims submitted for property damage were submitted by males user 25 years of age

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