Probability Distributions and Random Variables
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Questions and Answers

What is the probability that a black ball was drawn from urn A3?

$\frac{1}{4}$

If an article is found to be defective, what is the probability that it was manufactured by machine A2?

$\frac{7}{20}$

What is the value of k in the function f(x)=k(1+x) for 2 ≤ x ≤ 5?

k = 2/3

Calculate the value of K and the probability density function of X for the exponential probability law f(x) = K.e^(-λx) for x > 0.

<p>K = λ, Probability density function = λ.e^(-λx)</p> Signup and view all the answers

What is the probability density function of X for the continuous random variable X with probability density function f(x) = (3/4)(2x - x^2) for x ≥ 0?

<p>f(x) = 3x - 3x^2/4</p> Signup and view all the answers

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