Normal TemplateTest 2A1. The following is a data obtained through a survey on television viewers....

Question

Normal TemplateTest 2A1. The following is a data obtained through a survey on television viewers. Channel 1 Channel 2 Channel 3 Channel 4 Channel 5 Channel 6 Men XXXXXXXXXX Women XXXXXXXXXX Boys XXXXXXXXXX Girls XXXXXXXXXXA viewer is chosen randomly. Find the probability that A) the selected viewer is а girl given that she watches channel 2.  B) the selected viewer watches channel 3 given that the viewer is a man.2 A. State Bayes Theorem  B. There are three cookie jars in the kitchen, а blue jar, а red jar, and а green jar. The blue  jar contains 10 ginger snaps and 11 chocolate chip cookies. The red jar contains 9 ginger  snaps and 12 chocolate chip cookies. The green jar contains 10 ginger snaps and 13 chocolate chip cookies. In the middle of the night, Sam goes to the kitchen and chooses a  jar without turning on the light and gets а cookie from it. Find the probability that the cookie came from the blue jar provided the selected cookie was chocolate chip.3. Compute E(x) and (x) if x follows the following probability distributionx XXXXXXXXXX p(x XXXXXXXXXX4. A die is tossed 100 times. Find the probability that "1 or 3" shows up. A) Exactly 30 times.  B) At least 30 times.5. Through а survey, it was found that the average intake of medicine in а large group of patients 250 mg per week with a standard deviation of 20 mg per week. A) A patient is chosen at random. Find the probability that his or her intake exceeds 240 mg per week. B) 3 patients are chosen at random. Find the probability that their average intake is between 245 mg and 255 mg per week.6. Find the coefficient of variation of the data:10, 17, 15, 23, 21Test 2A7. Find the mean of the data:Class  Frequency XXXXXXXXXX  XXXXXXXXXX  XXXXXXXXXX  XXXXXXXXXX  XXXXXXXXXX  XXXXXXXXXX8. Compute Cov(x, y) if (x, y) follows a joint distribution P(x, y) given below:  9. What is the smallest value of k in Tchevishev's Theorem for which the probabilityProb(   k

Rajeswari · Accepted Answer

61188 Assignment
Homework
1) Since total probability we find the missing prob as
P(X=11) = 0.5
To find mean and variance:
	x
	2
	3
	5
	7
	11
	
	p(x)
	0.1
	0.1
	0.1
	0.2
	0.5
	1
	x*p
	0.2
	0.3
	0.5
	1.4
	5.5
	7.9
	(x-7.9)^2*p
	3.481
	2.401
	0.841
	0.162
	4.805
	11.69
Mean of X = sum of x*p = 7.9
Var of X = Sum of (x-mu)^2*p = 11.69
Std dev X = =
2) Assuming coin is fair, we get probability for each trial for head is constant =0.5.  Also there are only two outcomes.
So X = no of heads in 50 times is Bin (50,0.5)
Hence pdf of X is P(X=x) 
a) P(x=23)=0.095962
b) P(atleast 23) = P(x≥23) = 
c) P(atmost 23) = P(x≤23) = 
Test 2A
1) the probability that 
A) the selected viewer is а girl given that she watches channel 2.

Normal Template Test 2A 1. The following is a data obtained through a survey on television viewers. Channel 1 Channel 2 Channel 3 Channel 4 Channel 5 Channel 6 Men XXXXXXXXXX Women XXXXXXXXXX Boys...

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