ECONOMETRICS 2024 EXAM QUESTIONS VERIFIED BY EXPERTS|ALREADY GRADED A+ TOPSCORE!!!
Given the following probability distribution:
X P(X) 1 0.2
2 0.3
3 0.3
4 0.2
What is the variance of the random variable X? - CORRECT ANSWER>>1.05
The expected value of a discrete random variable: - CORRECT ANSWER>>is computed as a weighted average of the possible outcome of that random variable, where the weights are the probabilities of that outcome.
Let Z be a standard normal random variable. Find Pr(-0.5 < Z < 0.5). - CORRECT ANSWER>>0.3830
Find the probability that a standard normal random variable has a value greater than -1.56. - CORRECT ANSWER>>0.9406
Let X be a normally distributed random variable with mean 100 and standard deviation 20. Find two values, a and b, symmetric about the mean, such that the probability of the random variable being between them is 0.99. - CORRECT ANSWER>>48.5, 151.5
A spark plug manufacturer believes that his plug lasts an average of 30,000 miles, with a standard deviation of 2,500 miles. What is the probability that a given spark plug of this type will last 37,500 miles before replacement? Assume a normal distribution. - CORRECT ANSWER>>0.0013
The cumulative probability distribution shows the probability: - CORRECT ANSWER>>that a random variable is less than or equal to a particular value.
The correlation between X and Y: - CORRECT ANSWER>>can be calculated by dividing the covariances between X and Yby the product of the two standard deviations.
Var(aX + bY ) is - CORRECT ANSWER>>a2σX2 +2abσXY +b2σY2
Assume that Y is normally distributed N(μ,σ2). To find Pr(c1 ≤ Y ≤ c2), where
c1
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