3 years ago

Please help please please ASAP

Mathematics

2 answers:

svlad2 [7]3 years ago

6 0

Answer:

choose the first one.

0.87

statuscvo [17]3 years ago

3 0

Answer:

Use your calculator

Step-by-step explanation:

Press the cos button COS( - should look like that... Then fill it out COS(30) make sure to add the closed parenthesis so you dont get an error. And then BAM you got your answer and dont have to look anymore up. XD

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A continuous random variable has the uniform distribution on the interval [a, b] if its probability density function f(x _______

Marta_Voda [28]

A uniform distribution has a constant density over its support:

$f(x)=\begin{cases}c&\text{for }a\le x\le b\\0&\text{otherwise}\end{cases}$

Any probability distribution sums to 1 over its support, so in this case $f(x)$ satisfies

$\displaystyle\int_{-\infty}^\infty f(x)\,\mathrm dx=1$

Replace $f(x)$ with its definition as given above, so you have

$1=\displaystyle\int_a^bc\,\mathrm dx=cx\bigg|_{x=a}^{x=b}=c(b-a)$
$\implies c=\dfrac1{b-a}$

So the density function is

$f(x)=\begin{cases}\dfrac1{b-a}&\text{for }a\le x\le b\\\\0&\text{otherwise}\end{cases}$