28 + Interview Questions in BERNOULLI-TRIALS-AND-BINOMIAL-DISTRIBUTION IN GENERAL AWARENESS Page 1 InterviewSolution

1.	Five coins are tossed simultaneously. The probability that at least on head turning up, isA. `(1)/(32)`B. `(5)/(32)`C. `(7)/(16)`D. `(31)/(32)`
Answer» Correct Answer - D

Discussion

2.	If the chance of a gushot hitting a target is 0.2 then the probability that at least 2 shots out of 10 will hit the target isA. `1-((4)/(5))^(10)`B. `1-7((4)/(5))^(10)`C. `1+(7)/(2) ((4)/(5))^(10)`D. none of these
Answer» Correct Answer - C

Discussion

3.	IF ` X to B ( n= 20,p=0.03) and (0.97)^(20) = 0.5437` then : `P ( X ge 1)=`A. `0.5463`B. `0.6453`C. `0.4563`D. none of these
Answer» Correct Answer - C

Discussion

4.	IF ` X to B (n=20,p= 0.1)` then :P `(X ge 1)=..`A. `(0.1)^(20)`B. `1-(0.1)^(20)`C. `1-(0.9)^(20)`D. `(0.9)^(20)`
Answer» Correct Answer - C

Discussion

5.	IF ` X to B (n=9 ,p =0.8)`, ` then :P (X ge 6) =( 4^(7))/(5^(9))(k) ` where k=A. 109B. 110C. 111D. 112
Answer» Correct Answer - A

Discussion

6.	If `X to B ( n= 10,p=0.5) ` then : `p(X ge 9)=`…A. `(10)/(1024)`B. `(1)/(1024)`C. `(11)/(1024)`D. none of these
Answer» Correct Answer - C

Discussion

7.	Workers in an industry have a 10% chance of sufering from an occupational disease ,Probability that , out of 6 workers , at least 5 will catch the discease isA. `(11)/(2,00,000)`B. `(11)/( 2,000)`C. `(11) /( 200)`D. none of these
Answer» Correct Answer - A

Discussion

8.	If a coin is tossed 6 times , then probability of getting 4 or more haeads isA. `(10)/(32)`B. `(11)/(32)`C. `(12)/(32)`D. `(13)/(32)`
Answer» Correct Answer - B

Discussion

9.	A coin is tossed 5 times. What is the probability of getting at least 3 heads.A. `(11)/(16)`B. `(15)/(16)`C. `(13)/(16)`D. none of these
Answer» Correct Answer - D

Discussion

10.	If `X and Y` are independent binomial vatiates `B(5,1/2) and B(7,1/2)` and the value of `P(X+Y=3)` isA. `(55)/(1024)`B. `(55)/(4098)`C. `(55)/(2048)`D. `(55)/(128)`
Answer» Correct Answer - A

Discussion

11.	A fair coin is tossed a fixed number of times. If the probability of getting seven heads is equal to that of getting nine heads, the probability of getting two heads, isA. `(15)/(2^(8))`B. `(2)/(15)`C. `(15)/(2^(13))`D. none of these
Answer» Correct Answer - C

Discussion

12.	If 10 coins are tossed simultaneoiusly , then probability of getting at least 7 heads isA. `(120)/(1024)`B. `(45)/(1024)`C. `(10)/(1024)`D. `(176)/(1024)`
Answer» Correct Answer - D

Discussion

13.	One hundred identical coins, each with probability `p ,`of showing up heads are tossed once. If `0A. `1/2`B. `(49)/(101)`C. `(50)/(101)`D. none of these
Answer» Correct Answer - D

Discussion

14.	IF ` X to B ( n = 10 ,p ) and E (X ) =5` then P and V(x) are .A. `5/2,7/2`B. `1/2,(5 )/(2)`C. `(3)/(2),(9)/(2)`D. none of these
Answer» Correct Answer - B

Discussion

15.	Let X ~ B (n,P). I f E(X) = 5 and Var (x) = 2.5 find n and pA. 10,0.5B. 20,0.4C. 10,0.4D. none of these
Answer» Correct Answer - A

Discussion

16.	IF ` X to B ( n = 10 ,p ) and E (X ) =5` then `p` and `Var(x)` are _______.A. `0.2`B. `0.8`C. `0.1`D. none of these
Answer» Correct Answer - B

Discussion

17.	The probability that an event A happens in one trial of an experiment, is 0.4 There independent trials of the experiments are performed. The probability that the event A happens atleast once, isA. `0.936`B. `0.216`C. `0.784`D. `0.064`
Answer» Correct Answer - C

Discussion

18.	Mean and variance of a binomial variate X are 4 and 2 respectively Then `P (X =1 )= ……`A. `(1)/(32)`B. `(1)/(16)`C. `(1)/(8)`D. `(1)/(4)`
Answer» Correct Answer - A

Discussion

19.	India plays two matches each with West Indies and Australia. In any match the probabilities of India getting points `0, 1 and 2` are `0.45, 0.05 and 0.50` respectively. Assuming that the outcomes are independent, the probability of India getting at least 7 points is (a) `0.8750` (b) `0.0875` (c) `0.0625` (d) `0.0250`A. `(1)/(80) `B. `(7)/(80)`C. `(7)/(8)`D. `(1)/(8)`
Answer» Correct Answer - B

Discussion

20.	Let p be the probability of happening of an event , and q of its non- happening then the total chance of r successes in n trials ` 0 le r le n , ` isA. `""^(n )C_(r) .p^(r) . Q^(n-r)`B. `""^(n)C_(r).p^(r-1).q^(r+1)`C. `""^(n)C_(r).P^(r+1).q^(r-1)`D. `""^(n)C_(r).P^(r ).q^(r )`
Answer» Correct Answer - A

Discussion

21.	Mean and variance of a binomial distribution are 4 and 2 respectively . Then probability of 3 successes isA. `(128)/(256)`B. `(219)/(256)`C. `(7)/(64)`D. `(28)/(256)`
Answer» Correct Answer - C

Discussion

22.	If turning up 1 or 3 is considered a success , then the S.D of number of successes in 8 throws isA. `(16)/(9)`B. `(8)/(3)`C. `(4)/(3)`D. `(2)/(3)`
Answer» Correct Answer - C

Discussion

23.	A man takes a step forward with probability `0.4` and backward with probability `0.6`. The probability that at the end of eleven steps he is just one step away from the starting point, isA. `0.37`B. `0.32`C. `0.54`D. none of these
Answer» Correct Answer - A

Discussion

24.	If X follows the binomial distribution with parameters n=6 and p and 9p(X=4)=P(X=2), then p isA. `(1)/(2)`B. `(1)/(3)`C. `(1)/(4)`D. none of these
Answer» Correct Answer - C

Discussion

25.	A coin is rolled n times. If the probability of getting head at least once is greater than `90%` then the minimum value of n isA. 3B. 4C. 5D. none of these
Answer» Correct Answer - B

Discussion

26.	Six ordinary dice are rolled. The probability that at least half of them will show at least 3 isA. `41xx(2^(4))/(3^(6))`B. `(2^(4))/(3^(6))`C. `20xx(2^(4))/(3^(6))`D. none of these
Answer» Correct Answer - A

Discussion

27.	A contest consist of predicting the result win, draw or defeat of 7 football matches. A sent his entry predicting at random. The probability that his entry will contain exactly 4 correct predictions isA. `(8)/(3^(7))`B. `(16)/(3^(7))`C. `(280)/(3^(7))`D. `(560)/(3^(7))`
Answer» Correct Answer - C

Discussion

28.	As an answer to a question , two options are given only one of which is correct , then the propbability of correctly answering at least 6 of the 10 questions is ….A. `(210)/(512)`B. `(120)/(512)`C. `(193)/(512)`D. none of these
Answer» Correct Answer - C

Discussion

Explore topic-wise InterviewSolutions in .

Five coins are tossed simultaneously. The probability that at least on head turning up, isA. `(1)/(32)`B. `(5)/(32)`C. `(7)/(16)`D. `(31)/(32)`

If the chance of a gushot hitting a target is 0.2 then the probability that at least 2 shots out of 10 will hit the target isA. `1-((4)/(5))^(10)`B. `1-7((4)/(5))^(10)`C. `1+(7)/(2) ((4)/(5))^(10)`D. none of these

IF ` X to B ( n= 20,p=0.03) and (0.97)^(20) = 0.5437` then : `P ( X ge 1)=`A. `0.5463`B. `0.6453`C. `0.4563`D. none of these

IF ` X to B (n=20,p= 0.1)` then :P `(X ge 1)=..`A. `(0.1)^(20)`B. `1-(0.1)^(20)`C. `1-(0.9)^(20)`D. `(0.9)^(20)`

IF ` X to B (n=9 ,p =0.8)`, ` then :P (X ge 6) =( 4^(7))/(5^(9))(k) ` where k=A. 109B. 110C. 111D. 112

If `X to B ( n= 10,p=0.5) ` then : `p(X ge 9)=`…A. `(10)/(1024)`B. `(1)/(1024)`C. `(11)/(1024)`D. none of these

Workers in an industry have a 10% chance of sufering from an occupational disease ,Probability that , out of 6 workers , at least 5 will catch the discease isA. `(11)/(2,00,000)`B. `(11)/( 2,000)`C. `(11) /( 200)`D. none of these

If a coin is tossed 6 times , then probability of getting 4 or more haeads isA. `(10)/(32)`B. `(11)/(32)`C. `(12)/(32)`D. `(13)/(32)`

A coin is tossed 5 times. What is the probability of getting at least 3 heads.A. `(11)/(16)`B. `(15)/(16)`C. `(13)/(16)`D. none of these

If `X and Y` are independent binomial vatiates `B(5,1/2) and B(7,1/2)` and the value of `P(X+Y=3)` isA. `(55)/(1024)`B. `(55)/(4098)`C. `(55)/(2048)`D. `(55)/(128)`

A fair coin is tossed a fixed number of times. If the probability of getting seven heads is equal to that of getting nine heads, the probability of getting two heads, isA. `(15)/(2^(8))`B. `(2)/(15)`C. `(15)/(2^(13))`D. none of these

If 10 coins are tossed simultaneoiusly , then probability of getting at least 7 heads isA. `(120)/(1024)`B. `(45)/(1024)`C. `(10)/(1024)`D. `(176)/(1024)`

One hundred identical coins, each with probability `p ,`of showing up heads are tossed once. If `0A. `1/2`B. `(49)/(101)`C. `(50)/(101)`D. none of these

IF ` X to B ( n = 10 ,p ) and E (X ) =5` then P and V(x) are .A. `5/2,7/2`B. `1/2,(5 )/(2)`C. `(3)/(2),(9)/(2)`D. none of these

Let X ~ B (n,P). I f E(X) = 5 and Var (x) = 2.5 find n and pA. 10,0.5B. 20,0.4C. 10,0.4D. none of these

IF ` X to B ( n = 10 ,p ) and E (X ) =5` then `p` and `Var(x)` are _______.A. `0.2`B. `0.8`C. `0.1`D. none of these

The probability that an event A happens in one trial of an experiment, is 0.4 There independent trials of the experiments are performed. The probability that the event A happens atleast once, isA. `0.936`B. `0.216`C. `0.784`D. `0.064`

Mean and variance of a binomial variate X are 4 and 2 respectively Then `P (X =1 )= ……`A. `(1)/(32)`B. `(1)/(16)`C. `(1)/(8)`D. `(1)/(4)`

Let p be the probability of happening of an event , and q of its non- happening then the total chance of r successes in n trials ` 0 le r le n , ` isA. `""^(n )C_(r) .p^(r) . Q^(n-r)`B. `""^(n)C_(r).p^(r-1).q^(r+1)`C. `""^(n)C_(r).P^(r+1).q^(r-1)`D. `""^(n)C_(r).P^(r ).q^(r )`

Mean and variance of a binomial distribution are 4 and 2 respectively . Then probability of 3 successes isA. `(128)/(256)`B. `(219)/(256)`C. `(7)/(64)`D. `(28)/(256)`

If turning up 1 or 3 is considered a success , then the S.D of number of successes in 8 throws isA. `(16)/(9)`B. `(8)/(3)`C. `(4)/(3)`D. `(2)/(3)`

A man takes a step forward with probability `0.4` and backward with probability `0.6`. The probability that at the end of eleven steps he is just one step away from the starting point, isA. `0.37`B. `0.32`C. `0.54`D. none of these

If X follows the binomial distribution with parameters n=6 and p and 9p(X=4)=P(X=2), then p isA. `(1)/(2)`B. `(1)/(3)`C. `(1)/(4)`D. none of these

A coin is rolled n times. If the probability of getting head at least once is greater than `90%` then the minimum value of n isA. 3B. 4C. 5D. none of these

Six ordinary dice are rolled. The probability that at least half of them will show at least 3 isA. `41xx(2^(4))/(3^(6))`B. `(2^(4))/(3^(6))`C. `20xx(2^(4))/(3^(6))`D. none of these

A contest consist of predicting the result win, draw or defeat of 7 football matches. A sent his entry predicting at random. The probability that his entry will contain exactly 4 correct predictions isA. `(8)/(3^(7))`B. `(16)/(3^(7))`C. `(280)/(3^(7))`D. `(560)/(3^(7))`

As an answer to a question , two options are given only one of which is correct , then the propbability of correctly answering at least 6 of the 10 questions is ….A. `(210)/(512)`B. `(120)/(512)`C. `(193)/(512)`D. none of these