Question 32 - Week 4 Practice

Prasnya

Q32

00:00

5 Jun 2022

Q32.Let

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

be defined by

f(x)=\begin{cases}0, & -\infty < x < 0,\\ \frac{1}{4}, & 0 < x \le 1,\\ \frac{3}{4x^2}, & 1 < x < \infty.\end{cases}

If a random variable

X

has the PDF

f(x)

, calculate

P\left(-\frac{1}{2}<X<\frac{3}{2}\right)

. Enter the answer correct to one decimal place. Hint: use

\int_a^b \frac{1}{x^2}\,dx = \frac{1}{a}-\frac{1}{b}

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Q32

00:00

5 Jun 2022

Q32.Let

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

be defined by

f(x)=\begin{cases}0, & -\infty < x < 0,\\ \frac{1}{4}, & 0 < x \le 1,\\ \frac{3}{4x^2}, & 1 < x < \infty.\end{cases}

If a random variable

X

has the PDF

f(x)

, calculate

P\left(-\frac{1}{2}<X<\frac{3}{2}\right)

. Enter the answer correct to one decimal place. Hint: use

\int_a^b \frac{1}{x^2}\,dx = \frac{1}{a}-\frac{1}{b}

Your Answer

Save

Check

Details

Question 32 - Week 4 Practice | Prasnya

Q32

00:00

5 Jun 2022

Q32.Let

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

be defined by

f(x)=\begin{cases}0, & -\infty < x < 0,\\ \frac{1}{4}, & 0 < x \le 1,\\ \frac{3}{4x^2}, & 1 < x < \infty.\end{cases}

If a random variable

X

has the PDF

f(x)

, calculate

P\left(-\frac{1}{2}<X<\frac{3}{2}\right)

. Enter the answer correct to one decimal place. Hint: use

\int_a^b \frac{1}{x^2}\,dx = \frac{1}{a}-\frac{1}{b}

Your Answer

Save

Check

Details

Q32

00:00

5 Jun 2022

Q32.Let

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

be defined by

f(x)=\begin{cases}0, & -\infty < x < 0,\\ \frac{1}{4}, & 0 < x \le 1,\\ \frac{3}{4x^2}, & 1 < x < \infty.\end{cases}

If a random variable

X

has the PDF

f(x)

, calculate

P\left(-\frac{1}{2}<X<\frac{3}{2}\right)

. Enter the answer correct to one decimal place. Hint: use

\int_a^b \frac{1}{x^2}\,dx = \frac{1}{a}-\frac{1}{b}

Your Answer

Save

Check

Details