Q.8983·Miscellaneous·2016·EasyConsider the following statements in respect of class intervals of grouped frequency distribution: 1.Class intervals need not be mutually exclusive. 2.Class intervals should be exhaustive. 3.Class intervals need not be of equal width. Which of the above statements are correct?View question
Q.8984·Miscellaneous·2016·EasyA medicine is known to be 75% effective to cure a patient. If the medicine is given to 5 patients, what is the probability that at least one patient is cured by this medicine?View question
Q.8985·Miscellaneous·2016·EasyA machine has three parts, A, B and C, whose chances of being defective are 0.02, 0.10 and 0.05 respectively. The machine stops working if any one of the parts becomes defective. What is the probability that the machine will not stop working?View question
Q.8986·Miscellaneous·2016·EasyThree independent events A1, A2 and A3 occur with probabilities P(Ai) = 1/(i+1), i = 1,2,3. What is the probability that at least one of the three events occurs?View question
Q.8987·Miscellaneous·2016·EasyA random sample of 20 people is classified in the following table according to their ages: Age: 15–25 | Frequency: 2 Age: 25–35 | Frequency: 4 Age: 35–45 | Frequency: 6 Age: 45–55 | Frequency: 5 Age: 55–65 | Frequency: 3 What is the mean age of this group of people?View question
Q.8988·Miscellaneous·2016·EasyIf the covariance between x and y is 30, variance of x is 25 and variance of y is 144, then what is the correlation coefficient?View question
Q.8989·Miscellaneous·2016·EasyA coin is tossed three times. Consider the following events: A: No head appears B: Exactly one head appears C: At least two heads appear Which one of the following is correct?View question
Q.8990·Miscellaneous·2016·EasyIn a series of 3 one-day cricket matches between teams A and B of a college, the probability of team A winning or drawing are 1/3 and 1/6 respectively. If a win, loss or draw gives 2, 0 and 1 point respectively, then what is the probability that team A will score 5 points in the series?View question
Q.8991·Miscellaneous·2016·EasyLet the random variable X follow B(6, p). If 16 P(X = 4) = P(X = 2), then what is the value of p?View question
Q.8992·Miscellaneous·2016·EasyLet f(x) = |x| – [x – 1]². What is f(x) equal to when x > 1 ?View question
Q.8993·Miscellaneous·2016·EasyLet f(x) = |x| – [x – 1]². What is f(x) equal to when 0 < x < 1 ?View question
Q.8994·Miscellaneous·2016·Easyf(x) = { 3x² + 12x – 1, –1 ≤ x ≤ 2 37 – x, 2 < x ≤ 3 } Which of the following statements are correct ? 1. f(x) is continuous at x = 2. 2. f(x) attains greatest value at x = 2. 3. f(x) is differentiable at x = 2. Select the correct answer using the code given below :View question
Q.8996·Miscellaneous·2016·EasyTwo balls, A and B, are thrown simultaneously, A vertically upward with a speed of 20 m/s from the ground and B vertically downward from a height of 40 m with the same speed and along the same line of motion. At what points do the two balls collide by taking acceleration due to gravity as 9.8 m/s²?View question
Q.8999·Miscellaneous·2016·EasyIf one mixes up ashes with animal fat, the substance received in the crude form is calledView question
Q.9000·Miscellaneous·2016·EasyWhich of the following statements with regard to coverage rate of Aadhar cards during 2015 is/are correct? 1. The coverage rate of Aadhar cards in western India is quite high and it is above 90 per cent in Gujarat 2. The coverage rate of Aadhar cards is the highest in southern India and it is almost 100 per cent in the states of Telangana and Andhra Pradesh 3. The penetration of Aadhar cards has been very low in north-eastern part of India and it is the lowest in Assam and Meghalaya Select the correct answer using the code given below:View question