Question 23 - Week 4 Practice

Prasnya

Q23

00:00

29 Oct 2023

Q23.Consider a function

f:\mathbb{R}\to\mathbb{R}

such that

f(x)=cx^2

for

1\le x<2

f(x)=cx

for

2\le x<4

, and

f(x)=0

otherwise, where

c

is any real constant. Find

c

such that

f

is a valid density function. Enter the answer correct to two decimal places. Hint:

\int x^k\,dx=\frac{x^{k+1}}{k+1}

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Q23

00:00

29 Oct 2023

Q23.Consider a function

f:\mathbb{R}\to\mathbb{R}

such that

f(x)=cx^2

for

1\le x<2

f(x)=cx

for

2\le x<4

, and

f(x)=0

otherwise, where

c

is any real constant. Find

c

such that

f

is a valid density function. Enter the answer correct to two decimal places. Hint:

\int x^k\,dx=\frac{x^{k+1}}{k+1}

Your Answer

Save

Check

Details

Question 23 - Week 4 Practice | Prasnya

Q23

00:00

29 Oct 2023

Q23.Consider a function

f:\mathbb{R}\to\mathbb{R}

such that

f(x)=cx^2

for

1\le x<2

f(x)=cx

for

2\le x<4

, and

f(x)=0

otherwise, where

c

is any real constant. Find

c

such that

f

is a valid density function. Enter the answer correct to two decimal places. Hint:

\int x^k\,dx=\frac{x^{k+1}}{k+1}

Your Answer

Save

Check

Details

Q23

00:00

29 Oct 2023

Q23.Consider a function

f:\mathbb{R}\to\mathbb{R}

such that

f(x)=cx^2

for

1\le x<2

f(x)=cx

for

2\le x<4

, and

f(x)=0

otherwise, where

c

is any real constant. Find

c

such that

f

is a valid density function. Enter the answer correct to two decimal places. Hint:

\int x^k\,dx=\frac{x^{k+1}}{k+1}

Your Answer

Save

Check

Details