If X ~ Gamma , and Y ~ Gamma , (θ α) (θ β) be two independent gamma distributions and

    and    then find the distribution of U. 

If X ~ Gamma , and Y ~ Gamma , ( ) be two independent gamma distributions and  and V = X+ Y  then find the distribution of U.

In an election there are two candidates. Being a statistician, you are interested in predicting the result of the election. So, you plan to conduct a survey. Using the learning skill of this course answer the following question. How many people should be surveyed to be at least 90% sure that the estimate is within 0.03 of the true value?

Let  be a probability space and  be a sequence of independent and identically distributed (i.i.d.) random variables from the uniform distribution on the interval . If  denotes the sample mean of the first n random variables of the sequence , and   Find the value of .

In an election there are two candidates. Being a statistician, you are interested in predicting the result of the election. So, you plan to conduct a survey. Using the learning skill of this course answer the following question. How many people should be surveyed to be at least 90% sure that the estimate is within 0.03 of the true value?

Explain the procedure of assigning probability in a continuous world of probability theory.

In the study learning material (SLM), you have seen many situations where Poisson distribution is suitable and discussed some examples of such situations. Create your own example for a situation other than those that are discussed in SLM. If you denote your created random variable by X then find the probability that X is less than 2.

In the study learning material (SLM), you have seen many situations where Poisson distribution is suitable and discussed some examples of such situations. Create your own example for a situation other than which are discussed in SLM. If you denote your created random variable by X then find the probability that X is less than 2.