Business Statistics

Given

The above diagram expressed, which model of system?

Size of the binomial distribution depends on

160 heads and 240 tails resulted from 400 tosses of a coin. Find a 95% confidence interval for the probability of a head. Does this appear to be a fair coin?
[Hint p = $$\frac{1}{2}$$, q = $$\frac{1}{2}$$, n = 400
Expected frequency = np = 200
Standard error = $$\sqrt {npq} $$ = 10
Actual difference = 200 - 160 = 40
Difference is greater than 3 times standard error coin is unfair.]

Networks are used for

Match the items of List II with the items of List I and denote the correct matching.

List-I	List-II
a. Testing the goodness of fit of a distribution	1. Z-test
b. Testing the significance of the differences among the average performance of more than two sample groups	2. Chi-square test
c. Testing the significance of the difference between the average performance of two sample groups (large sired)	3. F-test

If covariance of X and Y is 12.3. Variance of X is 16.4 and variance of Y is 13.8, then r will be
$$\left[ {{\bf{Hint:}}{\text{r}} = \frac{{{\text{Covariance x, y}}}}{{\sqrt {\left( {{\text{Variance of X}}} \right) \times \left( {{\text{Variance of Y}}} \right)} }}} \right]$$

Which system is defined as a product made up of several applications set in orderly manner to produce a higher level information output different than the output of the application processing

"The concept of a control system model is applied to data processing where all the features are used in the programmes of the data processing." This system is a

Binomial distribution is a discrete probability distribution which expresses probability of one set of dichotomous alternatives known as

The standard deviation of poisson distribution is (m = mean)