There are 3 face cards for each of the 4 suits, leading to a total possible gain of 120, there are 40 other cards leading to a total possible loss of 80.
120 - 80 = 40.
40 / 52 (total number of cards) = about .77

Final Answer:
The expected value of a draw is positive 0.77 points.
Hope I helped :)

7 0

3 years ago

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the mgf of a random variable x is e^3(e^t-1). Find P[mean - standard deviation squared < X < 1/2( mean + standard deviatio

postnew [5]

The given MGF is that for a random variable following a Poisson distribution with parameter $\lambda=3$ .

This means $\mathbb E(X)=\mathbb V(X)=\lambda$ , and $X$ has PMF

$f_X(x)=\begin{cases}\dfrac{3^xe^{-3}}{x!}&\text{for }x\ge0\\0&\text{otherwise}\end{cases}$

So, the desired probability is

$\mathbb P\left(\lambda-\lambda^2$

This is equivalent to

$\displaystyle\sum_{x=0}^2\mathbb P(X=x)=\sum_{x=0}^2\frac{3^x}{x!e^3}=\frac{17}{2e^3}\approx0.4232$

8 0

3 years ago

What is 5 2<br><img src="https://tex.z-dn.net/?f=%20%5Ctimes%20" id="TexFormula1" title=" \times " alt=" \times " align="absmidd

Feliz [49]

The answer is 5×2 =10

8 0

3 years ago

Find the greatest common factor of 36 and 54

8090 [49]

Hey there!

To find the greatest common factor you will need to find all the factors of 36 and 54. (A factor is a number that can be divided into another number).

54 - 1, 2, 3, 6, 9, 18, 27.

36 - 1, 2, 3, 4, 6, 9, 12, 18.

As you can see here, the factor that is the greatest is 18. Therefore, that is your answer.

Hope this helps! :)

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3 years ago

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