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20 Nov 2016, 09:44
Kudos
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
37% (02:56) correct
63%
(02:35)
wrong
based on 153
sessions
History
Date
Time
Result
Not Attempted Yet
A. \(\frac{2}{7}\)
B. \(\frac{3}{8}\)
C. \(\frac{3}{7}\)
D. \(\frac{1}{2}\)
E. \(\frac{5}{7}\)
The length of Alice's commute, in minutes, differs depending on whether it's a weekday or weekend.
The probability of how long the weekday commute will take is included in the table below.
0 - 15 Minutes 15 - 30 Minutes 30 - 45 Minutes 45 Minutes or More
0.05 0.25 0.4 0.3
The probability of how long the weekend commute will take is included in the table below.
0 - 15 Minutes 15 - 30 Minutes 30 - 45 Minutes 45 Minutes or More
0.25 0.50 0.15 0.1
If Alice's commute took 30 minutes or less today, what is the probability that today is a weekday? Assume Alice commutes every day and that weekdays are considered to be Monday-Friday.
Attachment:
Veritas.PNG [ 28.3 KiB | Viewed 5768 times ]
I have no clue how to go about this question
Mbawarrior01
P(B given A) = P(A and B)/P(A)
P('Weekday' given '30 mins or less') = P(Weekday and 30 mins or less) / P(30 mins or less)
P(Weekday and 30 mins or less) = (5/7) * 0.3 = 1.5/7
P(30 mins or less) = (5/7) * 0.3 + (2/7) * .75 = 3/7
P('Weekday' given '30 mins or less') = (1.5/7) / (3/7) = 1/2
21 Nov 2016, 16:06
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I'm not sure my thinking is correct but I got the right answer.
so my guess was:
Probability of being on a week day= 5/7
Probability of having a commute of 30 minutes or less on a week day: 0.40+0.25+0.05=0.7
Probability of having a commute of 30 minutes or less and being on a weekday is : (5/7)*(0.7)= 1/2
AC:D
so my guess was:
Probability of being on a week day= 5/7
Probability of having a commute of 30 minutes or less on a week day: 0.40+0.25+0.05=0.7
Probability of having a commute of 30 minutes or less and being on a weekday is : (5/7)*(0.7)= 1/2
AC:D
