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Probability and Statistics Quiz

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Questions and Answers

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?

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?

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?

15 Signup and view all the answers

What is the expected value of a random variable X if P(X = 1) = 0.3 and P(X = 2) = 0.7?

1.7 Signup and view all the answers

હું શું કહી શકું છું જો ગુણાત્મક સિલસિલા Q = (0.5) છે?

A અને B સ્વતંત્ર નથી. Signup and view all the answers

Lim x → 1 નું મહત્વ શું છે?

X = 1 Signup and view all the answers

નીચેના પૈકી કયો રેંડમ ચકરોનું ઉદાહરણ છે?

ત્રણ વખત સેકડા પડતા પાંગળાના સંખ્યા Signup and view all the answers

જો બે રેંડમ ચકરો x અને y માટે E(x) = 7.5 અને E(y) = 7.5 છે, તો E(x + y) શું હશે?

15 Signup and view all the answers

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?

1.7 Signup and view all the answers

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.