Probability and Statistics - Online Test
Q1.
Direction: Study the following information carefully and answer the questions that follow:
A committee of five members is to be formed out of 3 trainees, 4 professors and 6 engineers.
In how many ways this can be done if 2 trainees and 3 engineer to have to be included in a committee
Answer : Option B
Explaination / Solution:
If 2 trainees and 3 engineers include in committee
3C2*6C3 = 3*20 --> 60
Q2. In a certain town , 40% persons have brown hair , 25% have brown eyes , and 15% have both. If a person selected at random has brown hair , the chance that a person selected at random with brown hair is with brown eyes
Answer : Option C
Explaination / Solution:
No Explaination.
Q3. Which of the following is not a measure of dispersion ?
Answer : Option D
Explaination / Solution:
it is the measure of central tendency
Q4.
Direction: Study the following information carefully and answer the questions that follow:
A committee of five members is to be formed out of 3 trainees, 4 professors and 6 engineers.
In how many ways this can be done if at least 2 trainees to have to be included in a committee
Answer : Option D
Explaination / Solution:
If at least 2 trainees include in committee
3C2*10C3 + 3C3*10C2 = 3*120+1*45
= 405
Q5. The probability that a card drawn at random from a pack of 52 cards is a king or a heart is
Answer : Option C
Explaination / Solution:
No Explaination.
Q6. The mean and S.D. of 1,2,3,4,5,6 is
Answer : Option C
Explaination / Solution:
Q7.
Direction: Study the following information carefully and answer the questions that follow:
A committee of five members is to be formed out of 3 trainees, 4 professors and 6 engineers.
In how many ways this can be done if 1 trainees and 4 engineers be included in a committee
Answer : Option A
Explaination / Solution:
If 1 trainees and 4 engineers include in committee
3C1*6C4 = 3*15 --> 45
Q8. Three prizes are distributed among three persons at random. The chances that none of the persons gets all the prizes is
Answer : Option B
Explaination / Solution:
No Explaination.
Q9. The range of the following set of observations 2,3,5,9,8,7,6,5,7,4,3 is
Answer : Option A
Explaination / Solution:
range= 9- 2 = 7
Q10.
Direction: Study the following information carefully and answer the questions that follow:
A committee of five members is to be formed out of 3 trainees, 4 professors and 6 engineers.
In how many ways this can be done if 3 engineers and 2 professors or 2 trainees and 3 professor be included in a committee
Answer : Option C
Explaination / Solution:
If 3 engineers and 2 professors or 2 trainees and 3 professors include in committee
6C3*4C2 + 3C2*4C3 = 20*6 + 3*4 = 120 + 12 = 132
