Not sure what you want with the 4. Do you want a quick 4-question practice set? Here’s a balanced 4-question mini-quiz (calculus, linear algebra, probability, statistics) with solutions. If you’d rather another topic or level, tell me.
Calculus — Differentiation Differentiate f(x) = x^4 − 3x^2 + 2x. Answer: f'(x) = 4x^3 − 6x + 2
Linear Algebra — Solving Ax = b A = [[1, 2], [3, 4]], b = [5, 6]. Solve for x. Answer: x = (-4, 9/2)
Probability — Fair coins Flip two fair coins. What is P(exactly one head)? Answer: 1/2
Statistics — Confidence interval n = 25, sample mean x̄ = 80, sample standard deviation s = 5. 95% CI for the true mean (t-interval with df=24; t ≈ 2.064). Margin of error ≈ 2.064 * (5/√25) = 2.064. Interval ≈ (77.94, 82.06)
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