5. Let A and B be two given events such that P(A) .2 and P(B)-3 and P(A and B-1

Question

5. Let A and B be two given events such that P(A) .2 and P(B)-3 and P(A and B-1 Therefore P(A or B) is (a) 30 () 40 () 50 (d) 06 (e) none of these BO A -5 10 -10 one child in four suffers from malnutrition. In the same region, is born HTV positive, due to the transmission from the mother to the newborn. that the two attributes malnutrition and HIV infection are mutually independent. A child is randomly selected from this population. The probability that the child suffers from four st 6. In a certain region in Africa, one child in five neither condition is: (a) 0.250 (b) 0.300 (c) 0.350 (d) 0.400 (e) 0.450 For each situation below, determine whether a binomial distribution applies? (i) The number of girls in a family of children. (ii) The number of sixes in three rolls of a die. (ii) The total number of tornadoes in 2005. (a) for () only (b) for (ii) only (c) for (ii) only (d) for (i) and (i) only (e) for () and (ii) only

Explanation / Answer

Q5.
WHEN A,B & INTERSECTION IS KNOWN
Given that, P(A) = 0.2 ,P(B) = 0.3 , P(A n B) = 0.1
Addition Theorem of Probability
P( A U B ) = P(A) + P(B) - P(A n B)
P( A U B ) = 0.2 + 0.3 - P( A n B )
P( A U B ) = 0.5 -0.1
P( A U B ) = 0.4

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