Answer:
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Step-by-step explanation:
Answer:
a) the probability is P(G∩C) =0.0035 (0.35%)
b) the probability is P(C) =0.008 (0.8%)
c) the probability is P(G/C) = 0.4375 (43.75%)
Step-by-step explanation:
defining the event G= the customer is a good risk , C= the customer fills a claim then using the theorem of Bayes for conditional probability
a) P(G∩C) = P(G)*P(C/G)
where
P(G∩C) = probability that the customer is a good risk and has filed a claim
P(C/G) = probability to fill a claim given that the customer is a good risk
replacing values
P(G∩C) = P(G)*P(C/G) = 0.70 * 0.005 = 0.0035 (0.35%)
b) for P(C)
P(C) = probability that the customer is a good risk * probability to fill a claim given that the customer is a good risk + probability that the customer is a medium risk * probability to fill a claim given that the customer is a medium risk +probability that the customer is a low risk * probability to fill a claim given that the customer is a low risk = 0.70 * 0.005 + 0.2* 0.01 + 0.1 * 0.025
= 0.008 (0.8%)
therefore
P(C) =0.008 (0.8%)
c) using the theorem of Bayes:
P(G/C) = P(G∩C) / P(C)
P(C/G) = probability that the customer is a good risk given that the customer has filled a claim
replacing values
P(G/C) = P(G∩C) / P(C) = 0.0035 /0.008 = 0.4375 (43.75%)
Answer: f(-2) should be 6
Step-by-step explanation:
The given final course grade, 88%, is the average of Frank's four quarter grades. The average is the sum of all grades divided among the four quarters. Let x be the average,
(82.5 + 94.7 + 87.9 + x) / 4 = 88
The value of x is equal to 86.9. Thus, the answer is letter C. 87%.
=(3x^3-y^2)^2 [ open it in (a-b)^2 form]
=(3x^3)^2-2.3x^3.y^2+(y^2)^2
=3^2x^3×2-6x^3y^2+y^2×2
=9x^6-6x^3y^2+y^4. ans
