Question

1.1 The records of 400 examinees are given below:
Score
Educational Qualification
Total
Diploma
Degree
I.T
Below 50
90
30
60
180
Between 50 and 60
20
70
70
160
Above 60
10
30
20
60
Total
120
130
150
400
If an examinee is selected at random from this group, find:
1.1.1 The probability that he is a Diploma graduate. (3)
1.1.2 The probability that he is a Degree graduate, given that his scores are above
60. (3)
1.1.3 The probability that his score is below 50, given that he’s doing IT. (3)

Answer 1

Answer on Question #42635– Math – Math, Statistics and Probability

Question:

If an examinee is selected at random from this group, find:

1.1.1 The probability that he is a Diploma graduate. (3)

1.1.2 The probability that he is a Degree graduate, given that his scores are above 60. (3)

1.1.3 The probability that his score is below 50, given that he's doing IT. (3)

Solution:

1.1.1 The probability that he is a Diploma graduate is $P = \frac{120}{400} = 0.3$.

1.1.2 The probability that he is a Degree graduate, given that his scores are above 60 is $P = \frac{30}{400} = \frac{3}{40} = 0.075$.

1.1.3 The probability that his score is below 50, given that he's doing IT is $P = \frac{60}{400} = \frac{3}{200} = 0.15$.

Answer.

1.1.1 $P = 0.3$;

1.1.2 $P = 0.075$;

1.1.3 $P = 0.15$.

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