(Direction 1 - 3) Write down the correct answers. Each question carries 1 mark.
Q. The result of ODI matches between India and Pakistan follows
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If X and Y are two independent random variables such that X ~ χ2m and Y~ χ2 n , then the distribution of (X +Y) is
(Direction 4 - 27) Write down the correct answers. Each question carries 2 marks.
Q. What is the standard deviation of the number of recoveries among 48 patients when the probability of recovering is 0.75?
X is a binomial variable with n = 20. What is the mean of X if it is known that x is symmetric?
If X ~ B (n, p), what would be the least value of the variance of x when n = 16?
If x is a binomial variate with parameter 15 and 1/3, what is the value of mode of the distribution
What is the no. of trials of a binomial distribution having mean and SD as 3 and 1.5 respectively?
What is the probability of getting 3 heads if 6 unbiased coins are tossed simultaneously?
If the overall percentage of success in an exam is 60, what is the probability that out of a group of 4 students, at least one has passed?
What is the probability of making 3 correct guesses in 5 True – False answer type questions?
If the standard deviation of a Poisson variate X is 2, what is P (1.5 < X < 2.9)?
If the mean of a Poisson variable X is 1, what is P (X = at least one)?
If X ~ P (m) and its coefficient of variation is 50, what is the probability that X would assume only non-zero values?
If 1.5 percent of items produced by a manufacturing units are known to be defective, what is the probability that a sample of 200 items would contain no defective item?
For a Poisson variate X, P (X = 1) = P (X = 2). What is the mean of X?
If 1 percent of an airline‘s flights suffer a minor equipment failure in an aircraft, what is the probability that there will be exactly two such failures in the next 100 such flights?
If for a Poisson variable X, f(2) = 3 f(4), what is the variance of X?
What is the coefficient of variation of x, characterised by the following probability density
What is the first quartile of X having the following probability density function?
If the two quartiles of N (µ , σ2) are 14.6 and 25.4 respectively, what is the standard deviation of the distribution?
If the mean deviation of a normal variable is 16, what is its quartile deviation?
If the points of inflexion of a normal curve are 40 and 60 respectively, then its mean deviation is
If the quartile deviation of a normal curve is 4.05, then its mean deviation is
If the Ist quartile and mean deviation about median of a normal distribution are 13.25 and 8 respectively, then the mode of the distribution is
If the area of standard normal curve between z = 0 to z = 1 is 0.3413, then the value of φ (1) is
If X and Y are 2 independent normal variables with mean as 10 and 12 and SD as 3 and 4, then (X+Y) is normally distributed with
(Direction 28 - 40) Answer the following questions. Each question carries 5 marks.
Q. If it is known that the probability of a missile hitting a target is 1/8, what is the probability that out of 10 missiles fired, at least 2 will hit the target?
X is a binomial variable such that 2 P(X = 2) = P(X = 3) and mean of X is known to be 10/3. What would be the probability that X assumes at most the value 2?
Assuming that one-third of the population are tea drinkers and each of 1000 enumerators takes a sample of 8 individuals to find out whether they are tea drinkers or not, how many enumerators are expected to report that five or more people are tea drinkers?