Related InterviewSolutions

• एक प्रयोग के सफल होने का संयोग उसके असफल होने से दो गुना है। प्रायिकता ज्ञात कीजिए कि अगले छः परीक्षणों में कम से कम 4 सफल होंगे।A. `(192)/(729)`B. `(256)/(729)`C. `(240)/(729)`D. `(4962)/(729)`
• 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. `0.784`C. `0.904`D. none of these
• The mean and variance of a random variable X having a binomial distribution are `4 and 2` respectively. The `P(X=1)` isA. `1//4`B. `1//32`C. `1//16`D. `1//8`
• 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)`
• The value of C for which `P(X=k)=Ck^2` can serve as the probability function of a random varibale X that takes value `0,1,2,3,4,`isA. `(1)/(30)`B. `(1)/(10)`C. `(1)/(3)`D. `(1)/(15)`
• 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. `.^11(C)_(5)(0.4)^6(0.6)^5`B. `.^11(C)_(6)(0.4)^5(0.6)^6`C. `.^11(C)_(5)(0.4)^5(0.6)^6`D. `.^n(C)_(5)(0.4)^5(0.6)^5`
• A coin is tossed n times. The probability of getting head at least once is greater than `0.8.` Then the least value of n isA. 7B. 6C. 5D. 3
• From a box containing 20 tickets marked with numbers 1 to 20, four tickets are drawn one by one. After each draw, the ticket is replaced. The probability that the largest value of tickets drawn is 15 is.A. `((3)/(4))^4`B. `(27)/(320)`C. `(27)/(1280)`D. none of these
• A coin is tossed 3n times. The chance that the number of times one gets head is not equal to the number of times one gets tail, isA. `.^(2n)C_(n)((1)/(2))^(2n)`B. `1-.^(2n)C_(n)`C. `1-.^(2n)C_(n)((1)/(4^n))`D. none of these
• A card is drawn from a pack of 52 playing cards. The card is replaced and the pack is reshuffled. If this is done six times. The probability that 2 hearts, 2 diamond and 2 black cards are drawn isA. `90xx((1)/(4))^6`B. `(45)/(2)xx((3)/(4))^4`C. `90xx((1)/(2))^10`D. none of these