Question

CRV is positive is 3/8. . A CRV has uniform distribution from -5 to 3. The probability that the i. | If X has PMF beside and Y=X, then E(Y)=1.8 : / p(r) 1/15 2/15 3/15 4/16 5/15 ) The number of different 8-bit words containing three ones and five zeros are 40G j. If PA) 0.4, P(B) 0.3 and P(AUB)C)0.42 then A, B are dependent. Two mutually-exclusive events are dependent. . The slope of the PDF for CRV couldn't be negative.

True or False With explanation please.

Answer 1

g:

The probability that the CRV is positive is

Hence, it is true.

h:

Following table shows the calculations:

X	p(x)	Y=X^2	p(y)=p(x)	y*p(y)
-2	1/15	4	1/15	4/15
-1	2/15	1	2/15	2/15
0	3/15	0	3/15	0
1	4/15	1	4/15	4/15
2	5/15	4	5/15	20/15
Total				2

So,

Hence, it is false.

i:

The possible number of permutations of 3 ones and five zeros so

Hence, it is false.

j

If A and B are independent then

P(A or B) = P(A) + P(B)-P(A and B) = 0.4+0.3 - 0.4*0.3 = 0.58

So

That is A and B are independent. Hence, it is false.

k:

False

l:

Slope of CDF cannot be negative.

False