Let
EV----------> <span>expected value
</span>
we know that
EV = (Probability of Winning)*(Value of Winning) + (Probability of Losing)*(Value of Losing)
so
EV=0.04*(200)+0.96*(-14)-----> EV=8+(-13.44)-----> EV=-$5.44
So
she expects to lose $5.44 every time she plays (this is on average)
the answer is
-$5.44
<span>
</span>
Question 7. y = -2x + 7. y = mx + b; m= slope (-2) (3, 1) resolve for y. you have : 1= -2 (3) + b; 1 = -6 + b; 1 + 6 = b; b = 7.
Step-by-step explanation:
180-120 = 60 which is the 2nd angle in triangle.
60+50+x = 180
x = 70
Answer:
37.5%
Step-by-step explanation:
one day has 24 hours
100%->24
1%->0.24
9÷0.24 = 37.5%
Answer:
μ ≈ 2.33
σ ≈ 1.25
Step-by-step explanation:
Each person has equal probability of ⅓.
![\left[\begin{array}{cc}X&P(X)\\1&\frac{1}{3}\\2&\frac{1}{3}\\4&\frac{1}{3}\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7DX%26P%28X%29%5C%5C1%26%5Cfrac%7B1%7D%7B3%7D%5C%5C2%26%5Cfrac%7B1%7D%7B3%7D%5C%5C4%26%5Cfrac%7B1%7D%7B3%7D%5Cend%7Barray%7D%5Cright%5D)
The mean is the expected value:
μ = E(X) = ∑ X P(X)
μ = (1) (⅓) + (2) (⅓) + (4) (⅓)
μ = ⁷/₃
The standard deviation is:
σ² = ∑ (X−μ)² P(X)
σ² = (1 − ⁷/₃)² (⅓) + (2 − ⁷/₃)² (⅓) + (4 − ⁷/₃)² (⅓)
σ² = ¹⁴/₉
σ ≈ 1.25
