Determining Normal Probabilities (VCE SSCE Mathematical Methods): Quizzes

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Determining Normal Probabilities
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What does the Normal CDF function calculate?

Prob. a variable falls within a range

What does the Inverse Normal function find?

Value (percentile) from a probability

What is a percentile?

Value below which a % of obs. fall

For standard normal distribution, what are μ\mu and σ\sigma?

μ=0\mu = 0 and σ=1\sigma = 1

For standard normal ZZ, what is Pr(1<Z<2.5)\text{Pr}(-1 < Z < 2.5)?

0.83510.8351

For XX ~ N(100,62)N(100, 6^2), what is the 95th percentile?

109.869109.869

For a 95% symmetric interval, what % is in each tail?

2.5%2.5\%

Which symmetry property is Pr(Z>a)=1Pr(Za)\text{Pr}(Z > a) = 1 - \text{Pr}(Z \leq a)?

Complement rule

Using symmetry, Pr(Z<a)\text{Pr}(Z < -a) equals what?

Pr(Z>a)\text{Pr}(Z > a)

For right-tail prob. Pr(Z>1)\text{Pr}(Z > 1), what upper bound to use?

\infty (infinity)

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