Mat120.6195 Homework # 3 Date_4_/15__/07__ Student’s Name:_________IVETTE_URBINA_______________________________ 1. A pollster contacts 104 people in the 15-19 age bracket and finds that 80 participate in religious ceremonies and 24 do not participate in religious ceremonies. When 196 people in the 20 – 26 age bracket are contacted, 160 participate in religious ceremonies and 36 do not participate in religious ceremonies. If 1 of the 300 people are selected, find: a) the probability that someone is in the age bracket 20 – 26 and participate in religious ceremonies. Answer:______436/300__________________________________ b) the probability that someone is in the age bracket 20 – 26 or participate in religious ceremonies. Answer:_______276/300______________________________________ 2) Circle the event(s) that can be classified as random variables. (a) Junia is pregnant. She is expected a baby girl. b) Mike’s weekly salary is $290. (c) Bob won $20,000 playing the lotto. d) Tim bought 2 new suits last week. 3. The table below represents the use of credit card for the past seven days for a sample of seven students. x 0 1 2 3 4 P(x) 0.16 0.24 0.40 0.16 0.04 X*p(x) 0 0.24 0.8 0.48 0.16 x(2) 0 1 4 9 16 X(2)(px) 0 0.24 1.6 1.44 0.64 a) Does the table constitute a probability distribution? Why or why not? Answer:_________yes,_because_when_you_add_(p)(x)_it_equals_to_1._____________ _______________ b) Find the mean and the standard deviation of x. mean M=1.68 Standard Deviation 1.04766