Name: ID: A 7. Suppose that we have a sample space (E, E,, where E,, ., enote th

Question

Name: ID: A 7. Suppose that we have a sample space (E, E,, where E,, ., enote the sample points. The following probability assignements apply: P(E,)-0.25, PE)-2, P-.1, PUE)-0.15 PLE,)-0. 15, P(E.) = 0.1 , P(E)-0.05. Let A-{EpE4,E.),B = (EpE,,E'). what is the probability of PAUB) a. 0.65 b. 0.5 c. 0.75 d. 0.6 8. Suppose that we have a sample space S (EEEE, ,E,E, E,), where E, , E,.., E, denote the sample points. The following probability assignements apply: PCE)0.25, P(E)-0.2, PE,)-0.1, PE0.15 P(E.) = 0.1 5, PCE.)-0.1 , P(E.) = 0.05. Let A = {E, ,E,,E, },B = {EpE,,E, } . What is the probability of a. 0.25 b. 0.15 c. 0.1 d. 0.05 9. The results of a survey of 800 married couples and the number of children they had is shown below. Number of Children Probability 0.055 0.120 0.680 0.100 0.040 0.005 If a couple is selected at random, what is the probability that the couple will have Less than 3 children? a. 0.175 b. 0.955 c. 0.925 d. 0.855 0. An experiment consists of throwing two six-sided dice and observing the number of spots on the upper fa Determine the probability that a pair of fives appear a. 9/36 b. 2/36 c. 1/36 d. 16/36

Explanation / Answer

7) A U B = {E1, E2, E4, E6, E7}

P( A U B) = 0.25 + 0.2 + 0.15 + 0.1 + 0.05 = 0.75

Option-C

8) A n B = {E4}

P(A n B) = 0.15

Option-B

9) P(less than 3 children) = P(0) + P(1) + P(2) = 0.055 + 0.120 + 0.680 = 0.855

Option-D

10) P(pair of gives) = 1/36

Option-C

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