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Q:

If a box contains 10 bulbs,of which just three are defective. If a random sample of five bulbs is drawn, find the probability that the sample contains no defective bulbs.

A) 5/12 B) 7/12
C) 3/14 D) 1/12
 
Answer & Explanation Answer: D) 1/12

Explanation:

Total number of elementary events = 10C5

 

Number of ways of selecting no defective bulbs i.e., 5 non-defective bulbs out of 7 is 7C5.

 

So,required probability =7C510C5 = 1/12.

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Q:

A box contains 10 bulbs,of which just three are defective. If a random sample of five bulbs is drawn, find the probability that the sample contains exactly one defective bulb.

A) 5/12 B) 7/12
C) 3/14 D) 1/12
 
Answer & Explanation Answer: A) 5/12

Explanation:

Total number of elementary events = 10C5

 

Number of ways of selecting exactly one defective bulb out of 3 and 4 non-defective out of 7 is 3C1*7C4

 

So,required probability =3C1*7C4/10C5 = 5/12.

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Q:

A is the brother of B. B is the brother of C. D is the father of A. Based on these three statements, which of the following statements cannot be definitely true ?

A) B is the brother of A. B) B is the son of D.
C) A is the brother of C. D) C is the brother of A.
 
Answer & Explanation Answer: D) C is the brother of A.

Explanation:

A is the brother of B and B is the brother of C. So, C may be the brother or sister of A. 

 

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Filed Under: Blood Relations

Q:

What are the different types of Real-Time Scheduling?

Answer

Hard real-time systems required to complete a critical task within a guaranteed amount of time.
Soft real-time computing requires that critical processes receive priority over less fortunate ones.

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Q:

What is a device queue?

Answer

A list of processes waiting for a particular I/O device is called device queue.

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Q:

E is the son of A. D is the son of B. E is married to C. C is B's daughter. How is D related to E ?

A) Brother B) Uncle
C) Father-in-Law D) Brother-in-law
 
Answer & Explanation Answer: D) Brother-in-law

Explanation:

C is D's daughter and D is B's son. So, D is the brother of C. E is a male married to C. 

So, E is the husband of C, whose brother is D. So, D is the brother-in-law of E. 

 

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Q:

What is dual-mode operation?

Answer

In order to protect the operating systems and the system programs from the malfunctioning programs the two mode operations were evolved


System mode


User mode

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Q:

A bag contains 50 tickets numbered 1,2,3,4......50 of which five are drawn at random and arranged in ascending order of magnitude.Find the probability that third drawn ticket is equal to 30.

A) 551/15134 B) 1/2
C) 552/15379 D) 1/9
 
Answer & Explanation Answer: A) 551/15134

Explanation:

Total number of elementary events = 50C5
Given,third ticket =30

 

 

 

=> first and second should come from tickets numbered 1 to 29 = 29C2 ways and remaining two in 20C2 ways.

 

 

 

Therfore,favourable number of events = 29C2*20C2

 

 

 

Hence,required probability = 29C2*20C2/50C5 =551 / 15134

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Filed Under: Probability