QMM Pro Quiz1

8/8/2019 QMM Pro Quiz1

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2/12

1. A value is chosen at random from a population. wt is the1. A value is chosen at random from a population. wt is the

prob. that the value is larger than the median of theprob. that the value is larger than the median of the

probability?probability?

a. 0.67a. 0.67

b. 0.5b. 0.5c. 0.25c. 0.25d. 0.23d. 0.23e. 0.2e. 0.2


3/12

Based on the following informationBased on the following information

answer the questionanswer the questionIn a factory there are three machinesIn a factory there are three machines

used in the manufacturing of screws.used in the manufacturing of screws.

The prob. ThatThe prob. ThatMachine A turns out a defective is 0.1Machine A turns out a defective is 0.1

Machine B turns out a defective is 0.2Machine B turns out a defective is 0.2

Machine C turns out a defective is 0.3Machine C turns out a defective is 0.3Note: the three machines produceNote: the three machines produce

equal number of screws.equal number of screws.


4/12

2. A screw is picked at random and is found to be2. A screw is picked at random and is found to bedefective . What is the probability that it wasdefective . What is the probability that it was

produced by machine A?produced by machine A?

a. 1/2a. 1/2

b. 1/3b. 1/3

c. 1/4c. 1/4

d. 1/6d. 1/6

e. 1/10e. 1/10


5/12

3. A and B are two non3. A and B are two non--exclusive eventsexclusive events

such that P(A)+P(B)such that P(A)+P(B)--P(A and B)=P(A) thenP(A and B)=P(A) then

a.P(B/A)=1a.P(B/A)=1b.P(A/B)=0 where B is compliment of Bb.P(A/B)=0 where B is compliment of B

c.P(A/B)=1c.P(A/B)=1

d.P(B/A)=1 where A is compliment of Ad.P(B/A)=1 where A is compliment of Ae.P(B/A)=0e.P(B/A)=0


6/12

Status as payerStatus as payer Capitalized at (Rs.)Capitalized at (Rs.)

1 crore

Very slowVery slow

(>4months)(>4months)

2020 1010 1010

SlowSlow

(3 and 4 months)(3 and 4 months)1616 1414 1212

AverageAverage(1 and < 3 months)(1 and < 3 months) 2222 1212 1010

Prompt(


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4. What is the probability that a4. What is the probability that a

customer is a slow payer and iscustomer is a slow payer and iscapitalized at


8/12

5. If the occurrence of A is5. If the occurrence of A is

unaffected by the occurrence of B,unaffected by the occurrence of B,then A and B arethen A and B are

a.a. DependentDependentb.b. IndependentIndependent

c.c. Mutually exclusiveMutually exclusive

d.d. Both (b) and (c) aboveBoth (b) and (c) above

e.e. Both (a) and (c) aboveBoth (a) and (c) above


9/12

6.Which of the following is

6.Which of the following is

truetrueforformutually exclusive eventsmutually exclusive events

a.a. P(A or B or C)=P(A)+P(B)+P(C)P(A or B or C)=P(A)+P(B)+P(C)

b.b. P(A and B and C)=P(A)+P(B)+P(C)P(A and B and C)=P(A)+P(B)+P(C)c.c. P(A or B or C)=P(A)+P(B)+P(C)P(A or B or C)=P(A)+P(B)+P(C)--P(AB)P(AB)--P(BC)P(BC)--P(CA)P(CA)

d.d. P(A and B and C)=P(A)+P(B)+P(C)P(A and B and C)=P(A)+P(B)+P(C)--P(AB)P(AB)--P(BC)P(BC)--P(CA)P(CA)

e.e. P(A or B or C)=P(A)+P(B)+P(C)P(A or B or C)=P(A)+P(B)+P(C)--P(AB)P(AB)--P(BC)P(BC)--P(AC)+P(ABC)P(AC)+P(ABC)


10/12

7.In which of the following cases the7.In which of the following cases the

outcomes favorable for an event and theoutcomes favorable for an event and thetotal number of outcomes must be knowntotal number of outcomes must be known

without performing the experimentwithout performing the experiment

a.a. Classical probabilityClassical probability

b.b. Marginal probabilityMarginal probability

c.c. Relative probabilityRelative probability

d.d. Subjective probabilitySubjective probability

e.e. Mutually exclusive eventsMutually exclusive events


11/12

8. If P(AB)=0.08 and P(A)=0.40 then the8. If P(AB)=0.08 and P(A)=0.40 then the

probability of occurrence of event B givenprobability of occurrence of event B giventhat A has occurred isthat A has occurred is

a.a. 0.650.65b.b. 0.500.50

c.c. 0.400.40

d.d. 0.200.20e.e. 0.600.60


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9. If A B and C are three mutually exclusive9. If A B and C are three mutually exclusiveevents and P(A)=0.30,P(B)=0.20 andevents and P(A)=0.30,P(B)=0.20 and

P(C)=0.50 then the prob. That none of theP(C)=0.50 then the prob. That none of the

events A or B or C occurs isevents A or B or C occurs is

a.a. 00

b.b. 0.200.20

c.c. 0.300.30

d.d. 0.500.50

e.e. 11

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QMM Pro Quiz1