MULTIPLE CHOICE!!!! At a certain university 4% of men are over 6 feet tall and 1

Question

MULTIPLE CHOICE!!!!

At a certain university 4% of men are over 6 feet tall and 1% of women are over 6 feet tall. The total student population is divided in the ratio 3: 2 in favor of men. If a student is selected at random from among all those over six feet tall, what is the probability that the student is a woman? (a) 0.241 (b) 0.123 (c) 0.143 (d) 0.273 A student activity club at the college has 32 members. In how many different ways can the club select a president, a vice president, a treasurer, and a secretary? (a) ^32 P_6 (b) ^32 P_4 (c) ^33 P_5 (d) ^4P_32 From a group of 15 smokers and 21 nonsmokers, a researcher wants to randomly select 7 smokers and 6 nonsmokers for a study. In how many ways can the study group be selected? (a) ^15 C_7 times ^22 C_7 (b) ^25 C_6 times ^15 C_7 (c) ^7 C_21 times ^6 C_15 (d) ^15 C_7 times ^21 C_6 A random variable is a _____ quantity that is generated by a random experiment. (a)categorical (b)numerical

Explanation / Answer

12. d 0.273

Let n= male students, q =female students, r= students 6 feet tall

Now given ratio =3:2

So we can conclude that P(n) =2/5 and P(q) =3/5

P(n/r) =4/100 and P(q/r) =1/100

We need P(q/r), according to baysens theorem

P(q/r) =P (r/q) P(q) /P(r/q) P)(q) +P(r/n) P(n)

=> 1/100*3/5/1/100*3/5+4/100*2/5=>3/11=>0.273

13. b. 32p4

14. d. 15c7*21c6

15. Numerical

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