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Assignment # 5 (Lessons 28-34)
Question 1: 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
Which estimator should be preferred?
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