1) Calculate the two regression equations of X on Y and Y on X from the data given below, taking deviations from a actual means of X and Y. PRICE (Rs.) 10 12 13 12 16 15 AMOUNT DEMANDED 40 38 43 45 37 43 Estimate the likely demand when the price is Rs.20. 2) Which of these numbers cannot be a probability and why? a) -0.00001 b) 0.5 c) 1.001 d) 0 e) 1 f) 20%
1) Calculate the two regression equations of X on Y and Y on X from the data given below, taking deviations from a actual means of X and Y. PRICE (Rs.) 10 12 13 12 16 15 AMOUNT DEMANDED 40 38 43 45 37 43 Estimate the likely demand when the price is Rs.20. 2) Which of these numbers cannot be a probability and why? a) -0.00001 b) 0.5 c) 1.001 d) 0 e) 1 f) 20%
1) Calculate the two regression equations of X on Y and Y on X from the data given below, taking deviations from a actual means of X and Y. PRICE (Rs.) 10 12 13 12 16 15 AMOUNT DEMANDED 40 38 43 45 37 43 Estimate the likely demand when the price is Rs.20. 2) Which of these numbers cannot be a probability and why? a) -0.00001 b) 0.5 c) 1.001 d) 0 e) 1 f) 20%
1) Calculate the two regression equations of X on Y and Y on X from the data given below, taking deviations from a actual means of X and Y. PRICE (Rs.) 10 12 13 12 16 15 AMOUNT DEMANDED 40 38 43 45 37 43 Estimate the likely demand when the price is Rs.20.
2) Which of these numbers cannot be a probability and why? a) -0.00001 b) 0.5 c) 1.001 d) 0 e) 1 f) 20%
3) In a laboratory experiment on correlation research study the equation of the two regression lines were found to be 2X–Y+1=0 and 3X–2Y+7=0 . Find the means of X and Y. Also work out the values of the regression coefficient and correlation between the two variables X and Y.
4) A die is rolled and a coin is tossed, find the probability that the die shows an odd number and the coin shows a head.
5) Five pairs of observations the following results are obtained ∑X=15, ∑Y=25, ∑X2 =55, ∑Y2 =135, ∑XY=83 Find the equation of the lines of regression and estimate the value of X on the first line when Y=12 and value of Y on the second line if X=8.
6) Company A produces 10% defective products, Company B produces 20% defective products and C produces 5% defective products. If choosing a company is an equally likely event, then find the probability that the product chosen is defective.
7) Suppose 5 men out of 100 men and 10 women out of 250 women are colour blind, then find the total probability of colour blind people. (Assume that both men and women are in equal numbers.)
8) Two dice are rolled, find the probability that the sum is a) equal to 1 b) equal to 4 c) less than 13
9) For three events A, B, and C, we know that • A and C are independent, • B and C are independent, • A and B are disjoint, • P(A∪C) = ? ? , P(B∪C) = 3 4 , P(A∪B∪C) = 11 12 Find P(A), P(B) and P(C).
10) A pharmaceutical lab states that a drug causes negative side effects in 3 of every 100 patients. To confirm this affirmation, another laboratory chooses 5 people at random who have consumed the drug. What is the probability of the following events? a) None of the five patients experience side effects. b) At least two experience side effects.
Transcribed Image Text:1) Calculate the two regression equations of X on Y and Y on X from the data given below, taking
deviations from a actual means of X and Y
PRICE (Rs.)
10
12
13
12
16
15
AMOUNT
40
38
43
45
37
43
DEMANDED
Estimate the likely demand when the price is Rs.20.
2) Which of these numbers cannot be a probability and why?
a) -0.00001
b) 0.5
c) 1.001
d) 0
e) I
f) 20%
3) In a laboratory experiment on correlation research study the equation of the two regression lines were
found to be 2X-Y+l=0 and 3X-2Y+7=0. Find the means of X and Y. Also work out the values of
the regression coefficient and correlation between the two variables X and Y.
4) A die is rolled and a coin is tossed, find the probability that the die shows an odd number and the coin
shows a head.
5) Five pairs of observations the following results are obtained EX-15, EY=25, EX2 -55, EY2 =135,
EXY-83 Find the equation of the lines of regression and estimate the value of X on the first line
when Y=12 and value of Y on the second line if X=8.
6) Company A produces 10% defective products, Company B produces 20% defective products and C
produces 5% defective products. If choosing a company is an equally likely event, then find the
probability that the product chosen is defective.
7) Suppose 5 men out of 100 men and 10 women out of 250 women are colour blind, then find the total
probability of colour blind people. (Assume that both men and women are in equal numbers.)
8) Two dice are rolled, find the probability that the sum is
a) equal to 1
b) equal to 4
c) less than 13
9) For three events A, B, and C, we know that
• A and C are independent,
• B and C are independent,
• A and B are disjoint,
• P(AUC) = P(BUC) = P(AUBUC) =
Find P(A), P(B) and P(C).
10) A pharmaceutical lab states that a drug causes negative side effects in 3 of every 100 patients. To
confirm this affirmation, another laboratory chooses 5 people at random who have consumed the
drug. What is the probability of the following events?
a) None of the five patients experience side effects.
b) At least two experience side effects.
Transcribed Image Text:1) Calculate the two regression equations of X on Y and Y on X from the data given below, taking
deviations from a actual means of X and Y
PRICE (Rs.)
10
12
13
12
16
15
AMOUNT
40
38
43
45
37
43
DEMANDED
Estimate the likely demand when the price is Rs.20.
2) Which of these numbers cannot be a probability and why?
a) -0.00001
b) 0.5
c) 1.001
d) 0
e) I
f) 20%
3) In a laboratory experiment on correlation research study the equation of the two regression lines were
found to be 2X-Y+l=0 and 3X-2Y+7=0. Find the means of X and Y. Also work out the values of
the regression coefficient and correlation between the two variables X and Y.
4) A die is rolled and a coin is tossed, find the probability that the die shows an odd number and the coin
shows a head.
5) Five pairs of observations the following results are obtained EX-15, EY=25, EX2 -55, EY2 =135,
EXY-83 Find the equation of the lines of regression and estimate the value of X on the first line
when Y=12 and value of Y on the second line if X=8.
6) Company A produces 10% defective products, Company B produces 20% defective products and C
produces 5% defective products. If choosing a company is an equally likely event, then find the
probability that the product chosen is defective.
7) Suppose 5 men out of 100 men and 10 women out of 250 women are colour blind, then find the total
probability of colour blind people. (Assume that both men and women are in equal numbers.)
8) Two dice are rolled, find the probability that the sum is
a) equal to 1
b) equal to 4
c) less than 13
9) For three events A, B, and C, we know that
• A and C are independent,
• B and C are independent,
• A and B are disjoint,
• P(AUC) = P(BUC) = P(AUBUC) =
Find P(A), P(B) and P(C).
10) A pharmaceutical lab states that a drug causes negative side effects in 3 of every 100 patients. To
confirm this affirmation, another laboratory chooses 5 people at random who have consumed the
drug. What is the probability of the following events?
a) None of the five patients experience side effects.
b) At least two experience side effects.
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