MAT2377 - Probability and Statistics for Engineers (Mathematics) - QUIZ
MAT2377 · Probability and Statistics for Engineers (Mathematics)
uOttawa - University of Ottawa
Questions
10 Questions
Practice 10 questions on MAT2377 - Probability and Statistics for Engineers (Mathematics) at uOttawa - University of Ottawa. Free AI-generated quiz on uNotes — track your score, retake anytime.
If events A and B are independent with P(A) = 0.4 and P(B^c) = 0.3, what is the probability P(A ∩ B)?
2A diagnostic test for a rare disease (prevalence 1%) has a sensitivity of 95% and a specificity of 90%. If a randomly selected patient tests positive, what is the probability they actually have the disease?
3A discrete random variable X has a probability mass function where P(X=0)=0.2, P(X=1)=0.5, and P(X=2)=0.3. Calculate the variance of X.
4Imperfections in a wire occur at a rate of 1.5 per meter. Assuming a Poisson process, find the probability of finding at most 1 imperfection in a 2-meter length of wire.
5Consider the continuous random variable X with density function f(x) = 3x^2 for 0 < x < 1, and 0 elsewhere. What is the expected value E(X)?
6Which of the following are properties of an unbiased estimator?
7A sample of 100 observations results in a sample mean of 50. If the population standard deviation is known to be 10, calculate the 99% confidence interval for the mean. (z_0.005 = 2.575)
8When testing H0: μ = μ0 against H1: μ ≠ μ0 at significance level α, when do we reject the null hypothesis?
9In simple linear regression, the coefficient of determination (R^2) is calculated as:
10Given the regression sums Sxx = 142.46 and Sxy = 94.07, what is the estimated slope b1 of the regression line?
