5. 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. Find the probability that a plane: a. arrives on time given that it departed on time b. departed on time given that it has arrived on time

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please answer number 5

ACTIVITY E: Probability
1.
A coin is tossed twice. Let A=event the 1st toss is head, and B=event the 2nd toss is head. Find P(B/A).
2. A coin is tossed twice. Let A=event with exactly 2 heads, and B=event at least one head appears. Find P(B/A').
3.
An ENGDATA class for engineers consists of 5 industrial, 10 electronics, 12 mechanical, 10 electrical, and 8 civil
engineering students. If a person is randomly selected by the instructor to answer a question, find the
probability that the student chosen is:
a civil engineering student
а.
b.
an electronics engineering student
С.
a mechanical or electrical engineering student
4. Four fair coins are tossed. Find the probability of getting the following:
a. exactly 3 heads
b. at least 2 tails
C.
at most 3 heads
5. 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(Dn A) = 0.78. Find the probability
that a plane:
arrives on time given that it departed on time
a.
b. departed on time given that it has arrived on time
Transcribed Image Text:ACTIVITY E: Probability 1. A coin is tossed twice. Let A=event the 1st toss is head, and B=event the 2nd toss is head. Find P(B/A). 2. A coin is tossed twice. Let A=event with exactly 2 heads, and B=event at least one head appears. Find P(B/A'). 3. An ENGDATA class for engineers consists of 5 industrial, 10 electronics, 12 mechanical, 10 electrical, and 8 civil engineering students. If a person is randomly selected by the instructor to answer a question, find the probability that the student chosen is: a civil engineering student а. b. an electronics engineering student С. a mechanical or electrical engineering student 4. Four fair coins are tossed. Find the probability of getting the following: a. exactly 3 heads b. at least 2 tails C. at most 3 heads 5. 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(Dn A) = 0.78. Find the probability that a plane: arrives on time given that it departed on time a. b. departed on time given that it has arrived on time
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