Moments and Moment Generating Function

Moments and Moment Generating Function

University

11 Qs

quiz-placeholder

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Moments and Moment Generating Function

Moments and Moment Generating Function

Assessment

Quiz

Mathematics

University

Hard

CCSS
HSS.MD.A.2, 6.SP.B.5C, HSS.ID.A.4

Standards-aligned

Created by

Manickam K

Used 56+ times

FREE Resource

11 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The expectation of a random variable X (continuous or discrete) is given by

xf(x), xf(x)\sum_{ }^{ }xf(x),\ \int\ xf(x)

x2f(x), x2f(x)∑x^2f(x),\ ∫x^2f(x)

f(x), f(x)∑f(x),\ ∫f(x)

xf(x2), xf(x2)∑xf(x^2),\ ∫xf(x^2)

Tags

CCSS.HSS.MD.A.2

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Mean of a random variable X is given by

E(X)E(X)

E(X2)E(X^2)

E(X2)(E(X))2E(X^2)–(E(X))^2

(E(X))2(E(X))^2

Tags

CCSS.HSS.MD.A.2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Variance of a random variable X is given by

E(X)E(X)

E(X2)E(X^2)

E(X2)(E(X))2E(X^2)–(E(X))^2

(E(X))2(E(X))^2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Let f(x) be the pdf of the random variable X, then mean of a constant ‘a’ is

0

a

a2\frac{a}{2}

1

Tags

CCSS.HSS.MD.A.2

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Variance of a constant ‘a’ is

0

a

1

Both a and b

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Find the expectation of a random variable X if f(x)=kexf(x)=ke^{-x}  for  x > 0x\ >\ 0  and 0 otherwise.

0

1

2

3

Tags

CCSS.HSS.MD.A.2

7.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Find the mean of a random variable X if f(x)=x 52f(x)=x–\ \frac{5}{2}  for  0<x<10<x<1  and  2x2x  for  1<x<21<x<2  and 0 otherwise.

2.5

2.75

3.5

3.75

Tags

CCSS.6.SP.B.5C

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