MGT 2250 Exam Two Concepts

Variance of X

o^2

Find the item that matches the description below. The random variable X denotes a normally distributed random​ variable, X~Nμ, σ2. A googol is 10100. The random variable Z denotes a standard normal random​ variable, Z~N(0, 1). Probability of X being less than μ+σ

p(Z<1)

Shorthand notation for P(X=X)

p(x)

The random variable Z denotes a standard normal​ variable, Z​ ~ N(0,1). What is the difference between value of ​P(Z<−​x) and ​P(Z>​x)?

0

The random variable Z denotes a standard normal random​ variable, Z ~ N(0,1). What is the standard deviation of​ Z?

1

X denotes a normally distributed random​ variable: X​ ~ ​N(μ​,σ2​). What is the probability of X being less than its​ mean?

1/2

Increases the mean of X by 10

10 + X

Has 10 times the standard deviation of X

10x

Variance of X

E(x-u)^2

The random variable Z denotes a standard normal random​ variable, Z​ ~ N(0,1). What is the distribution of the random variable μ+σ​Z?

N(u, o^2)

Standard deviation of X

the square root of the variance

Let X denote a normally distributed random​ variable: X​ ~ ​N(μ​,σ2​). What is the mean of​ X?

u

X denotes a random variable.

û