Input divided by two plus one is the output
1 answer:
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<h2>☸ <u>Solution</u><u>:</u></h2>
We have,
- Departing time = 10 : 45 hours
- Distance between home and airport = 325 km
- Average speed = 50 km/h
Finding time taken by the man,
⇛ Average speed = Total Distance/Total time
⇛ Total time = Total Distance/Average speed
⇛ Total time = 325 km/50 km/h
⇛ Total time = 6.5 h (6 hrs 30 mins)
(a) Total Time duration,
⇛ Total Time = Reaching Time - Departing time
⇛ 6.5 h = Reaching Time - 10 : 45 hours
⇛ Reaching Time = 17 : 15 hours ( 5 : 15 pm)
(b) Finding time taken in return,
- Departing time = 18 : 35 hours
- Reaching time = 23 : 10 hours
Total time duration,
⇛ Total Time = Reaching Time - Departing time
⇛ Total Time = 23 : 10 hours - 18 : 35 hours
⇛ Total Time = 22 : 70 hours - 18 : 35 hours
⇛ Total time = 4 : 35 hours
☕ Hence, solved !!
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Answer:
a) p(the student did not do homework and he/she passed the course) = 0.09
b) p(the student did not do homework given that she/he passed the course) = 0.125.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
In which
P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
P(A) is the probability of A happening.
a. p(the student did not do homework and he/she passed the course)
If a student does not do homework most days, the chance of passing the course is only 30%. 100 - 70 = 30% don't do homework on a regular basis.
So
0.3*0.3 = 0.09
p(the student did not do homework and he/she passed the course) = 0.09
b. p(the student did not do homework given that she/he passed the course)
Conditional probability.
Event A: Passed the course
Event B: Did not do homework.
p(the student did not do homework and he/she passed the course) = 0.09
This means that
Probability that the student passes the course:
90% of 70%(do homework)
30% of 30%(do not do homework).
This means that:
p(the student did not do homework given that she/he passed the course)
So
p(the student did not do homework given that she/he passed the course) = 0.125.