2.) A life insurance company examined the medical records of 1,005 women who died in 2010 and discovered that 300 of the women died from causes related to cancer. Moreover, 473 of the 1,005 women had at least one parent who suffered from cancer, and, of these 473 women, 225 died from causes related to cancer.Let P(A) be the probability that a given woman from the total group died of cancer, and let P(A∣B) be the probability that a given woman died of cancer, given that she had at least one parent who suffered from cancer. Calculate P(A)P(A∣B).(A) 0.627(B) 3000(C) 3001(D) 3002(E) 3003
Q. 2.) A life insurance company examined the medical records of 1,005 women who died in 2010 and discovered that 300 of the women died from causes related to cancer. Moreover, 473 of the 1,005 women had at least one parent who suffered from cancer, and, of these 473 women, 225 died from causes related to cancer.Let P(A) be the probability that a given woman from the total group died of cancer, and let P(A∣B) be the probability that a given woman died of cancer, given that she had at least one parent who suffered from cancer. Calculate P(A)P(A∣B).(A) 0.627(B) 3000(C) 3001(D) 3002(E) 3003
Calculate P(A): Calculate P(A), the probability that a given woman from the total group died of cancer.P(A)=Total number of womenNumber of women who died of cancerP(A)=1005300
Calculate P(A∣B): Calculate P(A∣B), the probability that a given woman died of cancer given that she had at least one parent who suffered from cancer.P(A∣B)=Total number of women who had at least one parent who suffered from cancerNumber of women who died of cancer and had at least one parent who suffered from cancerP(A∣B)=473225
Calculate the ratio: Calculate the ratio (P(A∣B))/(P(A)).(P(A∣B))/(P(A))=(473225)/(1005300)
Simplify the ratio: Simplify the ratio by multiplying the numerator and denominator by the reciprocal of the denominator.(P(A∣B))/(P(A))=(473225)×(3001005)
Perform the multiplication: Perform the multiplication to find the ratio.(P(A∣B))/(P(A))=(225×1005)/(473×300)(P(A∣B))/(P(A))=226125/141900
Simplify the fraction: Simplify the fraction to get the final answer. P(A)P(A∣B)=141900226125≈1.594
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