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Questions and Answers
What can be inferred about the relationship between properties A and B if Q = (0.5)?
What can be inferred about the relationship between properties A and B if Q = (0.5)?
- A and B are not independent. (correct)
- A and B are independent.
- A and B are partly positive.
- A and B are partly negative.
What does the notation lim x → 1 signify?
What does the notation lim x → 1 signify?
- X must be less than 1.
- X approaches 1 from any direction. (correct)
- X is equal to 1.
- X must be greater than 1.
Which of the following best represents a random variable?
Which of the following best represents a random variable?
- Number of heads obtained when a coin is tossed five times. (correct)
- Height and weight of individuals.
- The time of sunrise in a specific city.
- Daily stock market closing prices.
Given E(x) = 7.5 and E(y) = 7.5, what value would E(x + y) yield?
Given E(x) = 7.5 and E(y) = 7.5, what value would E(x + y) yield?
What is the expected value of a random variable X if P(X = 1) = 0.3 and P(X = 2) = 0.7?
What is the expected value of a random variable X if P(X = 1) = 0.3 and P(X = 2) = 0.7?
હું શું કહી શકું છું જો ગુણાત્મક સિલસિલા Q = (0.5) છે?
હું શું કહી શકું છું જો ગુણાત્મક સિલસિલા Q = (0.5) છે?
Lim x → 1 નું મહત્વ શું છે?
Lim x → 1 નું મહત્વ શું છે?
નીચેના પૈકી કયો રેંડમ ચકરોનું ઉદાહરણ છે?
નીચેના પૈકી કયો રેંડમ ચકરોનું ઉદાહરણ છે?
જો બે રેંડમ ચકરો x અને y માટે E(x) = 7.5 અને E(y) = 7.5 છે, તો E(x + y) શું હશે?
જો બે રેંડમ ચકરો x અને y માટે E(x) = 7.5 અને E(y) = 7.5 છે, તો E(x + y) શું હશે?
જો રેંડમ ચકરો X માટે X = 1 ની સંભવના 0.3 છે અને X = 2 ની સંભવના 0.7 છે, તો તેનો અપેક્ષિત મૂલ્ય શું બને છે?
જો રેંડમ ચકરો X માટે X = 1 ની સંભવના 0.3 છે અને X = 2 ની સંભવના 0.7 છે, તો તેનો અપેક્ષિત મૂલ્ય શું બને છે?
Flashcards
lim x → 1
lim x → 1
Means the value of x approaches 1, but is not necessarily 1.
Q = 0.5 qualitative relationship
Q = 0.5 qualitative relationship
Indicates properties A and B are not independent.
Expected value of X (P(X=1)=0.3, P(X=2)=0.7)
Expected value of X (P(X=1)=0.3, P(X=2)=0.7)
E(X) = (1 * 0.3) + (2 * 0.7) = 1.7
E(x + y) if E(x) = 7.5, E(y) = 7.5
E(x + y) if E(x) = 7.5, E(y) = 7.5
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Random variable example
Random variable example
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ગુણાત્મક સંબંધ Q = 0.5
ગુણાત્મક સંબંધ Q = 0.5
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lim x → 1 નો અર્થ શું છે?
lim x → 1 નો અર્થ શું છે?
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યદૃચ્છ ચલનું ઉદાહરણ
યદૃચ્છ ચલનું ઉદાહરણ
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E(x + y) શોધો, જો E(x) = 7.5 અને E(y) = 7.5
E(x + y) શોધો, જો E(x) = 7.5 અને E(y) = 7.5
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X નું પ્રતીક્ષા મૂલ્ય શોધો જો P(X=1) = 0.3 અને P(X=2) = 0.7
X નું પ્રતીક્ષા મૂલ્ય શોધો જો P(X=1) = 0.3 અને P(X=2) = 0.7
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Study Notes
Question 10
- Given Q = 0.5 for two variables A and B, determine the relationship between them.
- Options: A and B are independent, A and B are dependent, A and B are partially positive, A and B are partially negative.
Question 11
- Determine the meaning of lim x → 1.
- Options: x = 1, x is close to 1, x is greater than 1, x is less than 1.
Question 12
- Identify the example of a random variable from the given options.
- Options: Height and weight, Number of heads when a coin is tossed three times, Number of accidents on a road, Sunrise in the east.
Question 13
- Given E(x) = 7.5 and E(y) = 7.5, calculate E(x + y).
- Options: 15, 7.5, 8, 0.
Question 14
- Calculate the expected value (mathematical expectation) of a random variable X.
- Given: X = 1 with probability 0.3, X=2 with probability 0.7.
- Options: 0.17, 117, 1.7, 17.
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Description
Test your knowledge on probability and statistics concepts with this quiz. It covers relationships between variables, limits, random variables, and expected values. Perfect for students looking to reinforce their understanding in these subjects.
