Question

9-20% of the population has the genetic trait A. Of these, 70% has genetic trait B. Of the population that doesn't have trait A, 40% have trait B a) A person from the population is picked at random from the) population What is the probability that this person has trait B? b) What is the probably that, knowing the person picked has trait A b) that this person also has trait B? e) What is the probably that, knowing the person picked has trait B d) Are the two events "Has trait A" and "Has trait B" independent? d Suppose that the probability of a child being a girl is 60% and a boy 40%. In a family of 7 children, what is the probability of there being exactly 4 girls? 10 a) a) b) Using the data from part (a), out of 5000 families with 7 b) children, how many families would you expect to have exactly 4 girls? c) Suppose that a coin is weighted so that p(H)-2/3 c) If the coin is tossed 30 times, find p (H S28). 11. Below is a histogram of the grade distribution for a class. 25 20 15 10 FD CBA a) Fill in the probability distribution table below # ST DENIS b) Passing is C or better. What is the probability of passing? b) c) If the student passed, what is the probability that the grade was A?c)

Answer 1

4 チ 7-t )に4 4 14-So ngos) = 0.939986 Crsade 0. 2 (PM) = 0.799 P( A n Pon ass ) = x 0.2 =10.250