Q.5761·Miscellaneous·2019·EasyThe mean weight of 150 students in a certain class is 60 kg. The mean weight of boys is 70 kg and that of girls is 55 kg. What are the number of boys and girls respectively in the class?View question
Q.5762·Miscellaneous·2019·EasyMean of 100 observations is 50 and standard deviation is 10. If 5 is added to each observation, then what will be the new mean and new standard deviation respectively?View question
Q.5763·Miscellaneous·2019·EasyIf a fair die is rolled 4 times, then what is the probability that there are exactly 2 sixes?View question
Q.5764·Miscellaneous·2019·EasyConsider the following statements: 1.If A and B are mutually exclusive events, then it is possible that P(A) = P(B) = 0.6. 2. If A and B are any two events such that P(A|B) = 1, then P(B|Ā) = 1. Which of the above statements is/are correct?View question
Q.5765·Miscellaneous·2019·EasyThere are 3 coins in a box. One is a two-headed coin; another is a fair coin; and third is biased coin that comes up heads 75% of time. When one of the three coins is selected at random and flipped, it shows heads. What is the probability that it was the two-headed coin?View question
Q.5766·Miscellaneous·2019·EasyIf 5 of a Company’s 10 delivery trucks do not meet emission standards and 3 of them are chosen for inspection, then what is the probability that none of the trucks chosen will meet emission standards?View question
Q.5767·Miscellaneous·2019·EasyTwo dice are thrown simultaneously. What is the probability that the sum of the numbers appearing on them is a prime number?View question
Q.5768·Miscellaneous·2019·EasyConsider the following discrete frequency distribution: x = 1 2 3 4 5 6 7 8 f = 3 15 45 57 50 36 25 9 What is the value of median of the distribution?View question
Q.5769·Miscellaneous·2019·EasyIf a coin is tossed till the first head appears, then what will be the sample space?View question
Q.5770·Miscellaneous·2019·EasyThe mean of 5 observations is 4.4 and variance is 8.24. If three of the five observations are 1, 2 and 6, then what are the other two observations?View question
Q.5771·Miscellaneous·2019·EasyThe class marks in a frequency table are given to be 5, 10, 15, 20, 25, 30, 35, 40, 45, 50. The class limits of the first five classes areView question
Q.5772·Miscellaneous·2019·EasyFor the variables x and y, the two regression lines are 6x + y = 30 and 3x + 2y = 25. What are the values of x̄, ȳ and r respectively?View question
Q.5773·Miscellaneous·2019·EasyConsider the function f(x) = g(x) + h(x) where g(x) = sin(x/4) and h(x) = cos(4x/5) What is the period of the function g(x) ?View question
Q.5774·Miscellaneous·2019·EasyArithmetic mean of 10 observations is 60 and sum of squares of deviations from 50 is 5000. What is the standard deviation of the observations?View question
Q.5775·Miscellaneous·2019·EasyThe median of the observations 22, 24, 33, 37, x + 1, x + 3, 46, 47, 57, 58 in ascending order is 42. What are the values of 5th and 6th observations respectively ?View question
Q.5776·Miscellaneous·2019·EasyA bag contains 20 books out of which 5 are defective. If 3 of the books are selected at random and removed from the bag in succession without replacement, then what is the probability that all three books are defective?View question
Q.5777·Miscellaneous·2019·EasyA curve y = me^mx where m > 0 intersects y-axis at a point P. What is the equation of tangent to the curve at P ?View question
Q.5778·Miscellaneous·2019·EasyA curve y = me^mx where m > 0 intersects y-axis at a point P. How much angle does the tangent at P make with y-axis ?View question