An insurance company offers its policyholders a number of different premium payment options. For a randomly selected policyholder, let X = the number of months between successive payments. The cdf of X is as follows: x< 1 0.31 1Sx< 3 J0.43 3 Sx< 4 F(x) = 0.46 4 Sx< 6 0.80 6 Sx< 12 12 SX (a) What is the pmf of X? 1 6. 12 P(x) (b) Using just the cdf, compute P(3 S XS 6) and P(4 S X). P(3 SXS 6) =
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- An insurance company offers its policyholders a number of different premium payment options. For a randomly selected policyholder, let X = the number of months between successive payments. The cdf of X is as follows: REFER IMAGE a. What is the pmf of X?b. Using just the cdf, compute P(3 ≤ x ≤ 6) and P(4 ≤ X)An insurance company offers its policyholders a number of different premium payment options. For a randomly selected policyholder, let X = the number of months between successive payments.An insurance company offers its policyholders a number of differentpremium payment options. For a randomly selected policyholder, let X=the number of months between successive payments. The cdf of X is asfollows:(attached) a. What is the pmf of X?b. Using just the cdf, compute P(3≤ x ≤6) and P(4 ≤ X).
- An insurance company offers its policyholders a number of different premium payment options. For a randomly selected policyholder, let X = the number of months between successive paymentAt the Acme Cement Company, employeescontribute to a welfare fund at the rate of 4% ofthe first $1000 earned, 3% of the next $1000,2% of the next $1000, and 1% of any additionalincome. What will Mr. Morris contribute in ayear in which he earns $20,000?in a certain city, 60% of the heads of household own the house in which they reside, and 80% of the heads of the household have full-time employment when considering what percentage of heads of household both own their home and have a full-time job, a student estimates that 48% of heads of household fit both requirements, stating that (0.60) (0.80)=0.48. is this student correct in his approach?
- Suppose a company charges a premium of $150 per year for an insurance policy for storm damage to roofs. Actuarial studies show that in case of a storm, the insurance company will pay out an average of $8000 for damage to a composition shingle roof and an average of $12,000 for damage to a shake roof. They also determine that out of every 10,000 policies, there are 7 claims per year made on composition shingle roofs and 11 claims per year made on shake roofs. What is the company’s expected value (i.e., expected profit) per year of a storm insurance policy? What annual profit can the company expect if it issues 1000 such policies? Determine the probability of a composition shingle roof claim out of 10,000 = ______ Determine the probability of a shake roof claim out of 10,000 = ______ How many claims are made out of 10,000? = _______ What is the probability of no claims out of 10,000? = _______ How much does each shingle roof claim cost the company, don’t forget each person pays $150…A producer of pocket calculators purchases the main processor chips in lots of1,000. The producer would like to have a 1 percent rate of defectives but willnormally not refuse a lot unless it has 4 percent or more defectives. Samples of50 are drawn from each lot, and the lot is rejected if more than two defectives arefound.a. What are p0, p1, n, and c for this problem?If P(Positive Market) = 0.3, P(Negative Market) = 0.7, and P(Favorable Survey / positive market) =0.9, and P(unfavorable Survey / Negative market) = .6, then find P(favorable survey) = A. 0.30 B. 0.55 C. 0.10 D. 0.27
- If a company wants to prove that the proportion (p) of its revenues from overseas operations is more than 18%, the null and alternate hypotheses are __________. H0: p ≤ 0.18 and H1: p > 0.18 H0: p > 0.18 and H1: p < 0.18 H0: p = 0.18 and H1: p ≤ 0.18 H0: p = 0.18 and H1: p > 0.18At a certain school 60 of the 100 boys and 60 of the 80 girls signed up for the senior trip. Is there an associa-tion between going on the trip and gender? A) We can’t tell, because the class doesn’t have the samenumber of boys and girls.B) Yes, because the same number of boys and girlssigned up.C) Yes, because a lower percentage of boys signed upthan of girls.D) No, because the people on the trip were 50% boysand 50% girls.E) No, because the sign-up rate was higher among girlsthan among boys.If P(Positive Market) = 0.3, P(Negative Market) = 0.7, and P(Favorable Survey | Positive Market) = 0.9, and P(Unfavorable Survey | Negative Market) = .6, then P (Favorable Survey) = A)0.27 B)0.55 C)0.10 D)0.3