I need the answers for 4th question. Thank you for the help. is 0.075 probabFind

Question

I need the answers for 4th question. Thank you for the help.

is 0.075 probabFind a probability that less than 3 of them than 2 are non probabinty that acomponent does not conform he 3. Two devices pr probabiM dovico it is 0.01s. The productivity rmong 15 components not more less than of the first orve , does not have produce identical componerts that come into ommon production Wne. The biNty that the first device produces a compone Find the probability that t s. The productivity of the secovd device is four tirve defect productivity of the ent with a defect is 0,035, but tor ines orve component, taken from the common line at random 4. Two independent Part 2. Random Variat varia ndom variables X and y are given with their distribution lavws Xi 0 0.9 0 0.3 | 0.4 |0.3 Find the distribution law and the skewness of the random variable Z 5. L function is: et X be a continuous random variable whose cumulative distribution 0; ja 0 F(x)=1.4x 2, Find 1) the coefficient A: 2) the variance of random variable X 6. A computer virus is trying to corrupt 3 files. The first file will be corrupted w 03 Independently of it, the second file will be corrupted with the probability 0.2 tod with the nrobability 0.1. Construct the dist

Explanation / Answer

Probability distribution of Z=X/2Y is given by

p(z=0) = p(x=0,y=-2)+p(x=0,y=2)

=p(x=0)*p(y=-2) + p(x=0)*p(y=2) since x & y are independent

= 0.3*0.1+0.3*0.9

=0.3

p(z=-1)=p(x=4,y=-2)

= p(x=4)*p(x=-2)

= 0.4*0.1=0.04

p(z=1) = p(x=4, y=2)

= p(x=4)*p(y=2)

=0.4*0.9=0.36

p(z=-2)=p(x=8,y=-2)

= p(x=8)*p(y=-2)

= 0.3*0.1 = 0.03

p(z=2)= p(x=8,y=2)

=p(x=8)*p(y=2)

= 0.3*0.9

= 0.27

This is distribution of Z

Z -2 -1 0 1 2 p(Z=z) 0.03 0.04 0.3 0.36 0.27

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