She 6 appears Re toss of a fair dice c) A red Problem 3 0.2. Find the probabilit

Question

She 6 appears Re toss of a fair dice c) A red Problem 3 0.2. Find the probability that a) A does not occur,b)A or B oceurs c) P(A |Be) and d) P(B LA).(S is the complement of s) Problem 4. 1) A person is dealt s cards from an ordinary that they are all spades ili) Three balls are drawn successively from a box or a face card appears when a card is selected from in the toss of a fair dice . Suppose that A and B are events with PIA)-06 P(B) eher A r a sa-card deck 3 and P B ocurs sa-cand deck Find the probability containing 6 red balls white balls and each d replaced, b)ot reethat they are drevm in the onder red, white and green tf Problem s. Women in City College constithute 6o perent of the pos The school constitute 6o percent of the freshmen, go percent of the and zo percent seniors A phomores, go percent of the juniors and es percent of the semlor so percent freshmen, a5 percent sophomores, as percent juniors sfudent is chosen at random. Fin the probability that the student is a woma head occurs. For the to player lose if no heads occur? Pro distribution.nna the expectation i, variance .nd standard deviation of the following Problem 6. A player tosses tuo fair cons The player wins 53 if s heads shot should the game to be fair Le the expected value is zere), how much blem 7. Find FE yGT0. 0.1 0.2 0.2 0.2]0.1T0.1 hat John hits the target is p = 1A He fires 6 times. Find the Problem s. The probability t probability that he hits the target a) exactly two times, b) more than 4 times. Problem 9. Let X be a continuous random variable with distribution f(z)-10 else X 3)), and . Problem 1o. Suppose that the weights of Soo male students are normally distributed with mean = 140 lbs and standard deviation = 10 lbs. Find the number of students with weights a) between 138 and 148 lbs and b) more than sa lbs Find k, p(2

Explanation / Answer

5)P(women) =P(freshman and women+sophomore and women+junior and women+senior and women)

=0.3*0.6+0.25*0.4+0.25*0.4+0.2*0.45=0.47

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