InterviewSolution
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InterviewSolution
This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
The centres for disease control have determined that when a person is given will develop immunity to virus is 0.8 If eight people are given this vaccine find the probability that (1) none will develop immunity (2) exactly four will develop immunity . (3) all will develop immunity ,A. `0.000128`B. 1.28E-5C. 2.56E-5D. 2.56E-6 |
| Answer» Correct Answer - D | |
| 2. |
The centres for disease control have determined that when a person is given a vaccine, the probability that the person will develop immunity to a virus is 0.8.If eight people are given this vaccine, then the probability that exactly four will develop immunity isA. 0.04587B. 0.4587C. 0.09174D. 0.9174 |
| Answer» Correct Answer - A | |
| 3. |
For `X ~ B` (n = 10, p = 0.2), P (X=1) =A. `2xx(0.8)^9`B. `2xx(0.8)^8`C. `(0.8)^9`D. `(0.8)^8` |
| Answer» Correct Answer - A | |
| 4. |
Given X~B(n,p).IfE(X)=6,and Var (X) = 4.2, find the valye of n.A. 40B. 10C. 20D. 15 |
| Answer» Correct Answer - C | |
| 5. |
Given X~ B(n,p) . If n = 25 , E(x) = 10, find p and S.D (X)A. `2sqrt6`B. `sqrt6`C. `2sqrt10`D. 6 |
| Answer» Correct Answer - B | |
| 6. |
Given `X~B(n,p)` if E(X) = 6, Var (X) = 4.2 , find the value of n and p.A. 0.6B. 0.4C. 0.7D. 0.3 |
| Answer» Correct Answer - D | |
| 7. |
Given X~ B(n,p) . If n = 25 , E(x) = 10, find p and S.D (X)A. 0.4B. 0.6C. 0.3D. 0.7 |
| Answer» Correct Answer - A | |
| 8. |
Given X ~ B( n, p) if p =0.6 E(X) =6, then the value of Var (X) isA. 24B. 2.4C. 6D. 6.6 |
| Answer» Correct Answer - B | |
| 9. |
Given X ~ B ( n,p)If p =0 .6 E (X) =6, find n and Var (X)A. 10B. 5C. 8D. 7 |
| Answer» Correct Answer - A | |
| 10. |
Given X~ B (n,P) If n= 10 and p=0.4 , find E(X) and Var (X) .A. 0.4B. 24C. 4D. 2.4 |
| Answer» Correct Answer - D | |
| 11. |
If a fair coin is tossed 8 times , then the probability that it shows heads larger number of times than tails isA. `31/128`B. `93/128`C. `31/256`D. `93/256` |
| Answer» Correct Answer - D | |
| 12. |
In an experiment, a fair coin is tossed three times. If success means getting two heads, then the probability of no success when exoeriment is repeated thrice, isA. `(1/8)^3`B. `(7/8)^3`C. `(3/8)^3`D. `(5/8)^3` |
| Answer» Correct Answer - D | |
| 13. |
If a fair coin is tossed 8 times , then the probability that it shows heads at least once isA. `255/256`B. `1/256`C. `85/256`D. `3/256` |
| Answer» Correct Answer - A | |
| 14. |
Five fair coins are tossed 8 times, then the probability that it shows heads exactly 5 times isA. `7/16`B. `5/16`C. `7/32`D. `5/32` |
| Answer» Correct Answer - C | |
| 15. |
The probability of hitting a target in any shot is 0.2 If 10 shorts are fired , find the probability that the target will be hit at least twice. [ Given: ` (0.8)^9= 0. 1342] `A. 0.3121B. 0.6242C. 0.4061D. 0.8121 |
| Answer» Correct Answer - B | |
| 16. |
A fair coin is tossed 9 times . Find the probability that it shows heads exactly 5 times .A. `21/256`B. `63/256`C. `1/512`D. `1/256` |
| Answer» Correct Answer - B | |
| 17. |
Two dice are thrown three times.The probability of throwing doublets not more than twice isA. `215/216`B. `1/216`C. `35/36`D. `1/36` |
| Answer» Correct Answer - A | |
| 18. |
80% of all families own a television set. If 10 families are interviewed at random, then the probability that at most three families own a television set isA. `(8401)(0.8)^10`B. `(8401)(0.2)^10`C. `(8441)(0.8)^10`D. `(8441)(0.2)^10` |
| Answer» Correct Answer - D | |
| 19. |
A lot of 100 items contains 10 defective items. Five items selected at random from tht lot and sent to the retail store. The probalility that the store will receive at most one defective item isA. 0.91845B. 0.91854C. 0.091845D. 0.091854 |
| Answer» Correct Answer - B | |
| 20. |
A large chain retailer purchase certain Kind of electronic device from a manufacture. The manufacture indicates that the defective rate of the device is 3%. The inspector of the retailer picks 20 items from a shipment. The probability that there will be at least one defective item among these 20 isA. `1+(97/100)^20`B. `1+3(97/100)^20`C. `1-(97/100)^20`D. `1-3(97/100)^20` |
| Answer» Correct Answer - C | |
| 21. |
The probability that a person who undergoes a kidney operation will recover is 0.7. If the six patients who undergoes similar operations,then the probability that all will recover isA. `(0.7)^6`B. `(0.7)^3`C. `(0.7)^6(0.3)^6`D. `(0.7)^3(0.3)^6` |
| Answer» Correct Answer - A | |
| 22. |
The probability that a person who undergoes a kidney operation will recover is 0.7. If the six patients who undergoes similar operations,then the probability that half of them will recover isA. 0.01852B. 0.1852C. 0.03704D. 0.3704 |
| Answer» Correct Answer - B | |
| 23. |
For `X ~ B` (n,p), which of the following is correct ?A. E (X) = Var (X)B. E (X) = 2Var (X)C. E (X) `gt` Var (X)D. E (X) `lt` Var (X) |
| Answer» Correct Answer - C | |
| 24. |
Given X~ B (n,P) If n= 10 and p=0.4 , find E(X) and Var (X) .A. 0.4B. 2.4C. 4D. 24 |
| Answer» Correct Answer - C | |
| 25. |
For `X ~ B` (n = 10, p = 0.2), `P(X ge 1)` =A. `1 - (0.8)^9`B. `1 - (0.8)^10`C. `1 - (0.2)^9`D. `1 - (0.2)^10` |
| Answer» Correct Answer - B | |
| 26. |
For `X ~ B` (n,p),if E(X) = 18, Var(X) =12, then p =A. `1/3`B. `2/3`C. `3/4`D. `1/4` |
| Answer» Correct Answer - A | |
| 27. |
For `X ~ B` (n,p),if E(X) = 5, Var (X) = 2.5, then p =A. 0.1B. 0.2C. 0.5D. 0.6 |
| Answer» Correct Answer - C | |
| 28. |
For `X ~ B` (n,p),if E(X) = 18, Var(X) =12, then q =A. `1/3`B. `2/3`C. `3/4`D. `1/4` |
| Answer» Correct Answer - B | |
| 29. |
Each of the total fice questions in amultiple choice examination has four choices, only one of which is correct.A student is attempting to guess the amswer . The renadom varible X is the number of question answerred correctly. What is the probability that the student will giveat least one correct answer ?A. `45/512`B. `63/64`C. `781/1024`D. `979/1024` |
| Answer» Correct Answer - C | |
| 30. |
Let X ~ B (n,P). I f E(X) = 5 and Var (x) = 2.5 find n and pA. 5B. 10C. 50D. 2 |
| Answer» Correct Answer - B | |
| 31. |
If X be binomial distribution with mean np and variance npq, then find the`(P(x=k))/(P(x=k-1))`.A. `(n-k)/(k-1).p/q`B. `(n-k+1)/k.p/q`C. `(n+1)/k.p/q`D. `(n-1)/(k+1).p/q` |
| Answer» Correct Answer - B | |
| 32. |
A r.v. `X~B` (n, p). If values of mean and variance of X are 18 and 12 respectively, then total number of possible values of X areA. 54B. 55C. 12D. 18 |
| Answer» Correct Answer - B | |
| 33. |
Each of five questions on a multiple choice examination has four choices, only one of which is correct. A student is attempting to guess the answer. If the random variable X is the number of questions answered correctly, the probability that the student will get exctly three answer correct isA. `45/512`B. `63/64`C. `781/1024`D. `979/1024` |
| Answer» Correct Answer - A | |
| 34. |
For `X ~ B` (n = 10, p = 0.2), P `(X le 8)` =A. `1 - (8.2)(0.2)^8`B. `1 - (4.1)(0.2)^8`C. `1 - (8.2)(0.2)^9`D. `1 - (4.1)(0.2)^10` |
| Answer» Correct Answer - C | |
| 35. |
For `X ~ B` (n , p), if n = 5 and the sum of the mean and variance is 1.8, then p =A. 0.2B. 0.8C. 0.3D. 0.7 |
| Answer» Correct Answer - A | |
| 36. |
For `X ~ B` (n = 8, p = 0.5), P `(|X-2| le 2)` =A. `(163)(0.5)^9`B. `(163)(0.5)^8`C. `(81)(0.5)^7`D. `(163)(0.5)^7` |
| Answer» Correct Answer - B | |
| 37. |
Let the p,m f. of r.v X be d `p(x)+((4) ,(x))(5/9)^x(4/9)^(4-x)` , x= 0,1,2,3,4.A. 0.9876B. 0.09876C. 0.9786D. 0.9786 |
| Answer» Correct Answer - A | |
| 38. |
Let the p,m f. of r.v X be d `p(x)+((4) ,(x))(5/9)^x(4/9)^(4-x)` , x= 0,1,2,3,4.A. 22.4B. 22.2C. 2.24D. 2.22 |
| Answer» Correct Answer - D | |
| 39. |
If ` r.vX ~B(n =5,P=(1)/(3))` then `P(2gt X gt 4)=`A. `80/243`B. `40/243`C. `40/343`D. `80/343` |
| Answer» Correct Answer - B | |