4.3 Find the indicated probabity by using the general addition rule. 8) When two

Question

4.3 Find the indicated probabity by using the general addition rule. 8) When two balanced dice are rolled, there are 36 possible outcomes. Find the probability that either doubles are rolled or the sum of the dice is 10 B) C) 4.4 Contingency Tables. Find the indicated probability 9) The table below describes the smoking habits of a group of asthma sufferers. Occasional Regular Heavy Nonsmoker smoker smoker smoker Total 506 35 540 81 1046 Men 46 Women 64 152 If one of the 1046 people is randomly selected, find the probability that the person is a 393 721 48 92 Total man or a heavy smoker A) 0.568 B) 0.517 C) 0.473 D) 0.561 Find the indicated probability 10) The following contingency table provides a joint frequency distribution for a group of retired people by career and age at retirement. Age at Retirement 50-55 56-60 61-65 Over 65 Total Attomey 11 188 C1 Career College Professor 11 484 42 178 Secretary21 45 6349 178 Store Clerk 18 44 70 50 182 C3 61 179 297 189 726 Suppose one of these people is selected at random. Compute the probability that the persc selected was a store clerk A) 0.099 B) 0.251 C) 0.295 D) 0.025

Explanation / Answer

4.3)

outcomes in which doubles are rolled are (1,1) (2,2) (3,3) (4,4) (5,5) (6,6)

n(doubles) = 6

outcomes in which sum of dice is 10 are (4,6) (5,5) (6,4)

n(sum of dice) = 3

outcomes in which doubles are rolled and sum of dice is 10 is (5,5)

n(doble and sum of dice is 10) = 1

n(either double is rolled or sum of dice is 10) = n(double is rolled ) + n(sum of dice is 10) - n(doble and sum of dice is 10)

= 6+3-1 = 8

Probability that either double is rolled or sum of dice is 10 = n(either double is rolled or sum of dice is 10) /36

= 8/36 = 2/9 (C)

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