07-12-2010, 05:43 PM
Marks: 2+3+5=10
a) When you consider poisson distribution as the limiting form of the binomial distribution?
b) The mean and standard deviation of the population is 30 and 5 respectively. The probability distribution of the parent population is unknown, find the mean and standard error of the sampling distribution of when n=50
b) Ten vegetables cans, all of the same size, have lost their labels. It is known that 5 contain tomatoes and 5 contain corns. If 5 are selected at random, what is the probability that all contain tomatoes? What is the probability that 3 or more contain tomatoes?
Question 2: Marks: 2+8=10
a) Define sampling with replacement and sampling without replacement.
b) A finite population consists of values 6, 6, 9, 15 and 18. Calculate the sample means for all possible random samples of size n=3, that can be drawn from this population without replacement. Make the sampling distribution of sample mean and find the mean and variance of this distribution.
Question 3: Marks: 2+2+6=10
a) Find the value of maximum ordinate of the standard normal curve correct to four decimal places.
b) If Z is a standard normal random variable with mean 0 and variance 1, then find the Lower quartile.
c) Let be a random sample of size 3 from a population with mean
Consider the following two estimators of the mean
a) When you consider poisson distribution as the limiting form of the binomial distribution?
b) The mean and standard deviation of the population is 30 and 5 respectively. The probability distribution of the parent population is unknown, find the mean and standard error of the sampling distribution of when n=50
b) Ten vegetables cans, all of the same size, have lost their labels. It is known that 5 contain tomatoes and 5 contain corns. If 5 are selected at random, what is the probability that all contain tomatoes? What is the probability that 3 or more contain tomatoes?
Question 2: Marks: 2+8=10
a) Define sampling with replacement and sampling without replacement.
b) A finite population consists of values 6, 6, 9, 15 and 18. Calculate the sample means for all possible random samples of size n=3, that can be drawn from this population without replacement. Make the sampling distribution of sample mean and find the mean and variance of this distribution.
Question 3: Marks: 2+2+6=10
a) Find the value of maximum ordinate of the standard normal curve correct to four decimal places.
b) If Z is a standard normal random variable with mean 0 and variance 1, then find the Lower quartile.
c) Let be a random sample of size 3 from a population with mean
Consider the following two estimators of the mean