1) [11 a) An ipints] FE-Style Questions. Cirele the correct answer. Make sure yo
ID: 3319260 • Letter: 1
Question
1) [11 a) An ipints] FE-Style Questions. Cirele the correct answer. Make sure you show all of your work! s cost distribituion is given below. What is the approximate expected cost? cot 0 Cost (S) Probability 0.07 0.22 0.46 0.18 0.04 0.03 6 i) $2.5 ii) $2.9 iii) $3.0 iv) S3.1 b) Which of the following properties of probability is NOT valid? 1) The probability ofan event is always positive and less than or equal to 1 . I Eo is an event which cannot occur in the sample space, the probability of Eo is zero. ii) If events E and E2 are mutually exclusive, then P(E,E) PE)+P(E)-P(E)PCE iV) If events E and Ez are mutually exclusive, then the probability of both events occurring is zero c) An urn contains four black balls and six white balls. What is the probability of getting one black ball and one white ball in two draws from the urn without replacement? i 0.04 i) 0.24 i) 0.27 iv) 0.53Explanation / Answer
a) EV = 1 * 0.07 + 2 * 0.22 + 3 * 0.46 + 4 * 0.18 + 5 * 0.04 + 6 * 0.03
EV = approx 3
b) iii) option
c) 4 black and 6 white balls
P = (4C1 * 6C1)/10C2
P = 0.53
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