53. An experiment has five possible outcomes, A, B, C, D, and E, that are mutually exclusive. Check whether the fol- lowing assignments of probabilities are permissible and explain your answers:

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Please show your answer and explain it. DO ONLY PROBLEM 53
go on the Matterhorn ride.
SECS. 4-5
53. An experiment has five possible outcomes, A, B,C, D,
and E, that are mutually exclusive. Check whether the fol-
lowing assignments of probabilities are permissible and
explain your answers:
(a) P(A) = 0.20, P(B) = 0.20, P(C) = 0.20, P(D) = 0.20,
and P(E) = 0.20;
58
tha
the
thr
flec
dra
(b) P(A) = 0.21, P(B) = 0.26, P(C) = 0.58, P(D) = 0.01,
and P(E) = 0.06;
(c) P(A) = 0.18, P(B) = 0.19, P(C) = 0.20, P(D) = 0.21,
and P(E) = 0.22%;
that
(а) I
%3D
%3D
%3D
(b) г
(d) P(A) = 0.10, P(B) = 0.30, P(C) = 0.10, P(D) = 0.60,
and P(E) = -0.10;
(c) r
(d) n
(e) P(A) = 0.23, P(B) = 0.12, P(C) = 0.05, P(D) = 0.50,
and P(E) = 0.08.
(e) w
numb
%3D
%3D
%3D
54. If A and B are mutually exclusive, P(A)
P(B) = 0.44, find
0.37, and
%D
59. A
cars ar
and 0.
Goody
tires, of
will buy
(a) Goo
(a) P(A');
(b) P(B');
(c) P(AUB);
(е) Р(АПB');
(f) P(A' N B').
(d) P(AN B);
55. Explain why there must be a mistake in each of the
following statements:
(a) The probability that Jean will pass the bar examina-
tion is 0.66 and the probability that she will not pass is
(b) Unir
(c) Miche
034
99+
Transcribed Image Text:go on the Matterhorn ride. SECS. 4-5 53. An experiment has five possible outcomes, A, B,C, D, and E, that are mutually exclusive. Check whether the fol- lowing assignments of probabilities are permissible and explain your answers: (a) P(A) = 0.20, P(B) = 0.20, P(C) = 0.20, P(D) = 0.20, and P(E) = 0.20; 58 tha the thr flec dra (b) P(A) = 0.21, P(B) = 0.26, P(C) = 0.58, P(D) = 0.01, and P(E) = 0.06; (c) P(A) = 0.18, P(B) = 0.19, P(C) = 0.20, P(D) = 0.21, and P(E) = 0.22%; that (а) I %3D %3D %3D (b) г (d) P(A) = 0.10, P(B) = 0.30, P(C) = 0.10, P(D) = 0.60, and P(E) = -0.10; (c) r (d) n (e) P(A) = 0.23, P(B) = 0.12, P(C) = 0.05, P(D) = 0.50, and P(E) = 0.08. (e) w numb %3D %3D %3D 54. If A and B are mutually exclusive, P(A) P(B) = 0.44, find 0.37, and %D 59. A cars ar and 0. Goody tires, of will buy (a) Goo (a) P(A'); (b) P(B'); (c) P(AUB); (е) Р(АПB'); (f) P(A' N B'). (d) P(AN B); 55. Explain why there must be a mistake in each of the following statements: (a) The probability that Jean will pass the bar examina- tion is 0.66 and the probability that she will not pass is (b) Unir (c) Miche 034 99+
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