Question

problem 7. records of a health insurance company show that 75% of its policyholders submit a claim during a one-year period. 20 policyholders are randomly selected. answer the following questions. question 1: find the probability that exactly 11 policyholders will submit a claim during a one-year period. (round your answer to 4 places after the decimal point).

Answer 1

75% of policyholders file a claim within a year. 20 policyholders are chosen at random. The probability that exactly 11 policyholders will submit a claim during the course of a year is 0.0245.

Given that,

According to a health insurance provider's figures, 75% of policyholders file a claim within a year. 20 policyholders are chosen at random. Respond to the following inquiries.

We have to determine the probability that exactly 11 policyholders will submit a claim during the course of a year.

Here n is 20

π is 0.75

P(X=11)=₂₀C₁₁(0.75)¹¹(1-0.75)²⁰⁻¹¹

P(X=11)=₂₀C₁₁(0.75)¹¹(0.25)⁹

P(X=11)=0.0245

Therefore, The probability that exactly 11 policyholders will submit a claim during the course of a year is 0.0245.

To learn more about probability visit: https://brainly.com/question/11234923

#SPJ4