Mathematics, 12.12.2019 20:31, jakebice5991
You draw a card from a deck. if you get a red card, you win nothing. if you got a spade, you win $5. for any club, you win $10 plus an extra $20 for the ace of clubs. define random variable x as the amount you win at one game. a) what is the pmf of x? b) find expected value and standard deviation of x.
Answers: 2
is
![E[X]=\displaystyle\sum_xxP(X=x)=\frac02+\frac54+\frac{10\cdot3}{13}+\frac{30}{52}=\frac{215}{52}](/tpl/images/0415/6538/47d1a.png)
![\mathrm{Var}[X]=E[(X-E[X])^2]=E[X^2]-E[X]^2](/tpl/images/0415/6538/14d23.png)
![E[X^2]=\displaystyle\sum_xx^2P(X=x)=\frac{0^2}2+\frac{5^2}4+\frac{10^2\cdot3}{13}+\frac{30^2}{52}=\frac{2425}{52}](/tpl/images/0415/6538/34512.png)
![\mathrm{Var}[X]=\dfrac{2425}{52}-\left(\dfrac{215}{52}\right)^2=\dfrac{79875}{2704}](/tpl/images/0415/6538/3b499.png)
Other questions on the subject: Mathematics
Mathematics, 20.06.2019 18:04, lilsneak13
Write a polynomial that fits the description: a third-degree polynomial with leading coefficient -4
Answers: 1
Mathematics, 21.06.2019 17:40, JessicaSontay8841
Follow these steps using the algebra tiles to solve the equation −5x + (−2) = −2x + 4. 1. add 5 positive x-tiles to both sides and create zero pairs. 2. add 4 negative unit tiles to both sides and create zero pairs. 3. divide the unit tiles evenly among the x-tiles. x =
Answers: 2
Mathematics, 21.06.2019 21:00, newsome1996p4ggft
5x−4≥12 or 12x+5≤−4 can you with this problem
Answers: 3
Mathematics, 21.06.2019 23:30, Masielovebug
Segment wx is shown explain how you would construct a perpendicular bisector of wx using a compass and a straightedge
Answers: 3
Do you know the correct answer?
You draw a card from a deck. if you get a red card, you win nothing. if you got a spade, you win $5....
Questions in other subjects:
Social Studies, 22.06.2019 01:00
History, 22.06.2019 01:00
