Question 1

A die is thrown 9000 times and a throw of 3 or 4 observed 3240 times. Showed that the dye cannot be regarded as an unbiased one And find the limits between which the probability of 3 or 4 lies.

Question 2

A sample of 146 children were examined for anemia 21 were found to be anemic. can you conclude that 20% of these children were anemic?

Question 3

A biased coin was thrown 400 times and head resulted 240 times.. Find the standard error of the observed proportion of heads and deduce the probability of getting head in a single throw of the coin lies almost between 0.53 to 0.67.

Question 4

A single sample of 1000 members is found to have a mean of 3.42 cm, could it be reasonably regarded As a simple sample from a large population whose mean is 3.30 cm and standard deviation is 2.6 cm.

Question 5

4 coins are tossed what is the expectation of heads.

Question 6

if X and Y are two independent discrete random variables show that E(XY) = E(X)E(Y). Where E(X) is the expected value of X

Question 7

Before an increase in excise duty on tea, 800 people out of a sample of 1000 were found to be tea drinkers. After an increase in duty, 800 were found to be tea drinkers out of a sample of 1200 people.

Using standard error of proportion, state whether there is a significant decrease in consumption of tea after the increase in excise duty.

Question 8

In breeding certain stock, 408 Heiry and 126 glabirans plants were obtained if expectation is 1/4 glabirans.

Is the divergence significant or might have occurred due to fluctuation of sampling.