Test: Theoretical Distributions- 4 - CA Foundation MCQ

____________ distribution is symmetrical around t = 0

As the degree of freedom increases, the ________ distribution approaches the Standard Normal distribution

_________ distribution is asymptotic to the horizontal axis.

________ distribution has a greater spread than Normal distribution curve

In Binomial Distribution if n is infinitely large, the probability p of occurrence of event’ is close to _______ and q is close to _________

Poisson distribution approaches a Normal distribution as n

If neither p nor q is very small but n sufficiently large, the Binomial distribution is very closely approximated by _________ distribution

For discrete random variable x, Expected value of x (i.e E(x)) is defined as the sum of products of the different values and the corresponding probabilities.

For a probability distribution, —————— is the expected value of x.

_________ is the expected value of (x – m)² , where m is the mean.

The probability distribution of x is given below :

Q. Mean is equal to 

For n independent trials in Binomial distribution the sum of the powers of p and q is always n , whatever be the no. of success.

In Binomial distribution parameters are

In Binomial distribution if n = 4 and p = 1/3 then the value of variance is

In Binomial distribution if mean = 20, S.D.= 4 then q is equal to

If in a Binomial distribution mean = 20 , S.D.= 4 then p is equal to

If is a Binomial distribution mean = 20 , S.D.= 4 then n is equal to

Poisson distribution is a ___________ probability distribution .

No. of radio- active atoms decaying in a given interval of time is an example of

__________ distribution is sometimes known as the “distribution of rare events“.

The probability that x assumes a specified value in continuous probability distribution is

In Normal distribution mean, median and mode are

In Normal distribution the quartiles are equidistant from

In Normal distribution as the distance from the ___________ increases, the curve comes closer and closer to the horizontal axis .

A discrete random variable x follows uniform distribution and takes only the values 6, 8, 11, 12, 17The probability of P( x = 8) is

A discrete random variable x follows uniform distribution and takes the values 6, 9, 10, 11, 13The probability of P( x = 12) is

A discrete random variable x follows uniform distribution and takes the values 6, 8, 11, 12, 17

Q. The probability of P is