a) The probability that a regularly scheduled flight departs on time is P(D)=0.83, the probability that it arrives on time is P(A)=0.82; and the probability that it departs and arrives on time is P(D n A)=0.78. Calculate the conditional probability that a plane: (i) arrives on time, given that it departed on time (ii) departed on time, given that it has arrived on time. b) A developer of a new subdivision offers prospective home buyers a choice of Tudor, rustic, colonial, and traditional exterior styling in ranch, two-story, and split-level floor plans. In how many ways can a buyer order one of these homes? Sketch a vertical tree diagram for this problem. c) A president and a treasurer are to be chosen from the Science Club consisting of 40 people. How many different choices of officers are possible if (i) (iii) (ii) (iv) A will serve only if he is president; D and E will not serve together? there are no restrictions; B and C will serve together or not at all;

a) The probability that a regularly scheduled flight departs on time is P(D)=0.83, the probability that it arrives on time is P(A)=0.82; and the probability that it departs and arrives on time is P(D n A)=0.78. Calculate the conditional probability that a plane: (i) arrives on time, given that it departed on time (ii) departed on time, given that it has arrived on time. b) A developer of a new subdivision offers prospective home buyers a choice of Tudor, rustic, colonial, and traditional exterior styling in ranch, two-story, and split-level floor plans. In how many ways can a buyer order one of these homes? Sketch a vertical tree diagram for this problem. c) A president and a treasurer are to be chosen from the Science Club consisting of 40 people. How many different choices of officers are possible if (i) (iii) (ii) (iv) A will serve only if he is president; D and E will not serve together? there are no restrictions; B and C will serve together or not at all;

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

a) The probability that a regularly scheduled flight departs on time is P(D)=0.83, the probability that it
arrives on time is P(A)=0.82; and the probability that it departs and arrives on time is P(D n A)=0.78.
Calculate the conditional probability that a plane:
(i) arrives on time, given that it departed on time
(ii) departed on time, given that it has arrived on time.
b) A developer of a new subdivision offers prospective home buyers a choice of Tudor, rustic, colonial,
and traditional exterior styling in ranch, two-story, and split-level floor plans. In how many ways can
a buyer order one of these homes? Sketch a vertical tree diagram for this problem.
c) A president and a treasurer are to be chosen from the Science Club consisting of 40 people. How
many different choices of officers are possible if
(i)
(iii)
(ii)
(iv)
A will serve only if he is president;
D and E will not serve together?
there are no restrictions;
B and C will serve together or not at all;

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