5) suppose nate loses 53% of all chess games (a) what is the probability that na

Question

5) suppose nate loses 53% of all chess games (a) what is the probability that nate loses two chess games in a row(b) what is the probability that nate loses five chess games in a row 6)a sales person must travel to nine cities to promote a new marketing campaign. how many different trips are possible if any route between cities is possible a)9^9 b)9 c)9! d)18 8)there are 63 members on the bord of directors for a certian non-profit institution.a) if they must elect a chairperson, first vice chairperson, second vice chairperson, and secetary, how many different slates of candidates are possible.b) if they must form an ethics subcommittee of four members, how many different subcommittees are possable. 9) for the given pairs of event, classify the two events as independent or dependent.(if two events are technically dependent but can be treated as if they are independent according to the 5% guideline, consider them to be independent) combing your hair and dressinf nice, success at a job interview 10) a woment has ten skirts and eight blouses. assuming that they all match , how many different skirt and blouse combinations can she wear 11) a junk box in your room contains 10 old batteries, 5 of witch are totally dead. you start pickiing batteries one at a time and testing them. find the probability of each outcome. a)the first 3 you choose are good b) at least one of the first 3 works

Explanation / Answer

5. a) 9C1*0.53^2*0.47^8 = 0.00602; b) 6*0.53^5*0.47^5 = 0.00575 6)9^9 8) a) 63*62*61*60 = 14295960 ; b)63C4 = 595665; 10) 10C1*8C1 = 80 11) a)5/10*4/9 *3/8 = 0.0833 b) 5/10*5/9*4/8*3 = 0.4167 9) Dependent ---> combing hairs and dressing nice Independent ----> Combing Hair and success at job interview

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