Question

uty lat thè unit has exactly four rooms, given that it has at le two rooms. The conditional probability that the unit has at most four rooms, given that it has at least two rooms. c. d. Interpret your answers in parts (a) - (c) in terms of percentages 4.189 When a balanced coin is tossed three times, eight equally likely outcomes are possible: HHH HTH THH TTH HHT HTT THT TTT Let: A-event the first toss is heads event the third toss is tails event the total number of heads is1. 乙 a. Compute P(A), P(B), and Pic) b. Compute P(B|A) c. Are events A and B independent? Why or why not? Bh d. Compute P(CIA) 7 e. Are events A and C independent? Why or why not? Textbook publishers must estimate the sales of new (first-edition) books. The records major publishing company indicate that 10% of all new books sell more than projected 4.223 umber proiected, and 60% sell less than projected. Of those that sell mo n af thoce that sell close to t
how to calculate d.

Answer 1

Solution:-

Possible outcomes=HHH, HTH, THH, TTH, HHT, HTT, THT, TTT

event the first toss is heads=HHH, HTH, HHT, HTT

P(A)=P(event the first toss is heads)=4/8

event that the total number of heads is 1=HTT, THT, TTH

P(C)=P(event that the total number of heads is 1)=3/8

Now,

(event the first toss is heads) intersection (event that the total number of heads is 1)=HTT,

P(A ∩ C)=1/8

so, P(C/A)=P(P(A ∩ C)/P(A)

=(1/8)/(4/8)

=0.25