If Two Coins Are Tossed 5 Times Then The Probability Of Getting 5 Heads And 5 Tails Is
1) 63/256 2) 1/1024 3) 2/205 4) 9/64 Solution: Option (1) 63/256 p = ½, q= ½, n=10, x= 5... View Article
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A Die Is Tossed 5 Times Getting An Odd Number Is Considered A Success Then The Variance Of Distribution Of Success Is
1) 8/3 2) 3/8 3) 4/5 4) 5/4 Solution: Option (4) 5/4 p = 3/6 = ½ q= ½ n=... View Article
A Coin Is Tossed 2n Times The Chance That The Number Of Times One Gets Head Is Not Equal To The Number Of Times One Gets Tail Is
1) [(2n!)/(n!)2](½)2n 2) 1-[(2n!)/(n!)2] 3) 1-{[(2n!)/(n!)2][1/4n]} 4) None of these Solution: Option (3) 1-{[(2n!)/(n!)2][1/4n]} Here, p= ½, q= ½, n=... View Article
A Bag Contains 2 White And 4 Black Balls A Ball Is Drawn 5 Times With Replacement The Probability That At Least 4 Of The Balls Drawn Are White Is
1) 8/141 2) 10/243 3) 11/243 4) 8/41 Solution: Option (3) 11/243 The probability of getting white ball, p =... View Article
Five Coins Whose Faces Are Marked 2 3 Are Tossed The Chance Of Obtaining A Total Of 12 Is
1) 1/32 2) 1/16 3) 3/16 4) 5/16 Solution: Option (4) 5/16 The condition for getting the total of 12... View Article
The Mean And Variance Of A Binomial Distribution Are 6 And 4 The Parameter N Is
1) 18 2) 12 3) 10 4) 9 Solution: Option (1) 18 Given, Mean = np = 6 Variance, npq... View Article
An Experiment Succeeds Twice As Often As It Fails Find The Probability That In 4 Trails There Will Be At Least Three Success
1) 4/27 2) 8/27 3) 16/27 4) 24/27 Solution: Option (3) 16/27 The probability of success, p= ⅔ The probability... View Article
The Probability That A Student Is Not A Swimmer Is 15 What Is The Probability That Out Of 5 Students 4 Are Swimmers
1) 5C4 (⅘)4 (⅕) 2) (⅘)4 (⅕) 3) 5C4 (⅕)(⅘) 4) None of these Solution: Option (1) 5C4 (⅘)4 (⅕)... View Article
Assuming That For A Husband Wife Couple The Chances Of Their Child Being Boy Or Girl The Probability Of Their Two Children Being A Boy And A Girl
1) 1/4 2) 1 3) 1/2 4) 1/8 Solution: Option (3) ½ Here, p= ½, q= ½, n= 2, x=... View Article
A Dice Is Thrown 5 Times Then The Probability That An Even Number Will Come Up Exactly 3 Times Is
1) 5/16 2) 1/2 3) 3/16 4) 3/2 Solution: Option (1) 5/16 p= ½, q= ½, n= 5, x= 3... View Article
A Probability That A Bulb Produced By A Factory Will Fuse After 150 Days Of Use Is 005 What Is The Probability That Out Of 5 Such Bulbs None
1) 1-(19/20)5 2) (19/20)5 3) (¾)5 4) 90 (¼)5 Solution: Option (2) (19/20)5 Here, p= 19/20, q= 1/20, n= 5,... View Article
The Value Of C For Which Px K Ck2 Can Serve As The Probability Function Of A Random Variable X That Takes 0 1 2 3 4 Is
1) 1/30 2) 1/10 3) 1/3 4) 1/15 Solution: Option (1) 1/30 Given function P(X = k) = Ck2 The... View Article
If X Follows A Binomial Distribution With Parameters N 6 And P And 4 Px 4 Px 2 Then P
1) 1/2 2) 1/4 3) 1/6 4) 1/3 Solution: Option (4) ⅓ Given that n= 6 4 (P(X = 4))... View Article
A Die Is Tossed Thrice A Success Is Getting 1 Or 6 On A Toss The Mean And The Variance Of Number Of Successes
1) μ =1, σ2 = 2/3 2) μ =2/3, σ2 = 1 3) μ =2, σ2 = 2/3 4) None... View Article
If These Are N Independent Trials P And Q The Probability Of Success And Failure Respectively Then Probability Of Exactly R Successes
1) nCn+r pr qn-r 2) nCr pr-1 qr+1 3) nCr qn-r pr 4) nCr pr+1 qr-1 Solution: Option (3) nCr... View Article
A Contest Consists Of Predicting The Results Of The Win Draw Or Defeat Of 7 Football Matches A Sent His Entry By Predicting At Random
1) 8/37 2) 16/37 3) 280/37 4) 560/37 Solution: Option (3) 280/37 p= ⅓, q= ⅔, n= 7 By using... View Article
A Fair Coin Is Tossed A Fixed Number Of Items If The Probability Of Getting 7 Heads Is Equal To That Of Getting 9 Heads Then The Probability
1) 35/212 2) 35/214 3) 7/212 4) None of these Solution: Option (1) 35/212 Let “n” be the fixed number... View Article
The Probability That A Man Can Hit A Target Is 34 He Tries 5 Times The Probability That He Will Hit The Target At Least Three Times Is
1) 291/364 2) 371/464 3) 471/502 4) 459/512 Solution: Option (4) 459/512 p= ¾, q= ¼, n= 5 By using... View Article
The Items Produced By A Firm Are Supposed To Contain 5 Defective Items The Probability That A Sample Of 8 Items Will Contain Less Than 2
1) (27/20)(19/20)7 2) (533/400)(19/20)6 3) (153/20)(1/20)7 4) (35/16)(1/20)6 Solution: Option (1) (27/20)(19/20)7 p= 1/20, q= 19/20, n= 8 By using... View Article
A Coin Is Tossed Successively Three Times The Probability Of Getting Exactly One Head Or 2 Heads Is
1) 1/4 2) 1/2 3) 3/4 4) None of these Solution: Option (3) ¾ p= ½, q= ½, n= 3... View Article
