A quiz covering probability theory, discrete random variables, Binomial distributions, and Normal distributions. Test your knowledge with this interactive…
10 questions • Zestly
• A bag contains 5 red marbles and 3 blue marbles. Two marbles are drawn one after another without replacement. What is the probability that…
• Events A and B are independent. Given $P(A) = 0.4$ and $P(B) = 0.3$, which of the following statements are true?
• A discrete random variable X has the probability distribution: P(X=1) = 0.2, P(X=2) = 0.5, P(X=3) = 0.3. What is the expected value E(X)?
• Which of the following are necessary conditions for a random variable to follow a Binomial distribution $B(n, p)$?
• For a Binomial distribution $X \sim B(10, 0.2)$, what is the probability $P(X=2)$?
• A random variable $X$ follows a Normal distribution $N(\mu, \sigma^2)$. If $\mu = 50$ and $\sigma = 5$, what is the z-value for $X = 60$?
• In a standard normal distribution $Z \sim N(0, 1)$, which of the following properties are true?
• A random variable $X$ has a mean of 10 and a variance of 4. What are the mean and standard deviation of $Y = 2X + 3$?
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