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Test
Normal distribution
Standardization, interval and tail probabilities, thresholds and distribution parameters.
Questions: 8Estimated time: 32 minutes
Time left: 00:00:00
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Top 10 registered students. Only each student’s best result in the period counts.
Sample questions
- X is normally distributed with mean μ = ___ and standard deviation σ = ___. What standardized value z corresponds to X = ___?
- X is normally distributed with μ = ___, σ = ___. Find P(___ ≤ X ≤ ___). Given Φ(___) ≈ ___, Φ(___) ≈ ___, where Φ(t) = P(Z ≤ t) for standard normal Z.
- X is normally distributed with μ = ___, σ = ___. Find P(X > ___). Given Φ(___) ≈ ___, where Φ(t) = P(Z ≤ t) for standard normal Z.
- X is normally distributed with μ = ___, σ = ___. Find threshold c such that P(X ≤ c) ≈ ___. Given Φ(___) ≈ ___, where Φ(t) = P(Z ≤ t) for standard normal Z.
- X is normally distributed with mean μ = ___. It is known that P(X ≤ ___) ≈ ___. Given Φ(___) ≈ ___, where Φ(t) = P(Z ≤ t) for standard normal Z. Find standard deviation σ.
Normal distribution
Eight dynamic advanced-course tasks. Necessary standard normal cumulative probabilities are provided in the conditions.
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