The Standard Normal Distribution (HSC SSCE Mathematics Advanced): Quizzes

📚Quizzes
The Standard Normal Distribution
Sign up to keep practising.Create a free account to play more quizzes and track your progress.

Practise the questions

10 questions from this quiz

Show

What Greek letter denotes the probability density function of the standard normal distribution?

ϕ\phi (phi)

What are the mean and standard deviation of the standard normal distribution?

μ=0\mu = 0, σ=1\sigma = 1

What symmetry property does the PDF ϕ(z)\phi(z) possess?

ϕ(z)=ϕ(z)\phi(-z) = \phi(z)

At which zz-values do the points of inflection occur?

z=1z = -1 and z=1z = 1

What is the value of the cumulative distribution function at z=0z = 0?

Φ(0)=0.5\Phi(0) = 0.5

If Φ(1.5)=0.9332\Phi(1.5) = 0.9332, what is P(Z1.5)P(Z \geq 1.5)?

0.06680.0668

According to the empirical rule, what percentage of values fall within [2,2][-2, 2]?

Approximately 95%95\%

What is the approximate value of the third quartile Q3Q_3?

0.670.67

For a continuous distribution, what is P(Z=a)P(Z = a) for any specific value aa?

00

What shape describes the graph of the cumulative distribution function Φ(z)\Phi(z)?

S-shaped (sigmoid)

Join 100,000+ SSCE students studying Quizzes with us.

Select your subjects, and get access to A+ resources today.