Answer:
a) 0.9
b) Mean = 1.58
Standard Deviation = 0.89
Step-by-step explanation:
We are given the following in the question:
A marketing firm is considering making up to three new hires.
Let X be the variable describing the number of hiring in the company.
Thus, x can take values 0,1 ,2 and 3.
a) P(firm will make at least one hire)
Also,
b) expected value and the standard deviation of the number of hires.
![E(x^2) = \displaystyle\sum x_i^2P(x_i)\\=0(0.1) + 1(0.4) + 4(0.32) +9(0.18) = 3.3\\V(x) = E(x^2)-[E(x)]^2 = 3.3-(1.58)^2 = 0.80\\\text{Standard Deviation} = \sqrt{V(x)} = \sqrt{0.8036} = 0.89](https://tex.z-dn.net/?f=E%28x%5E2%29%20%3D%20%5Cdisplaystyle%5Csum%20x_i%5E2P%28x_i%29%5C%5C%3D0%280.1%29%20%2B%201%280.4%29%20%2B%204%280.32%29%20%2B9%280.18%29%20%3D%203.3%5C%5CV%28x%29%20%3D%20E%28x%5E2%29-%5BE%28x%29%5D%5E2%20%3D%203.3-%281.58%29%5E2%20%3D%200.80%5C%5C%5Ctext%7BStandard%20Deviation%7D%20%3D%20%5Csqrt%7BV%28x%29%7D%20%3D%20%5Csqrt%7B0.8036%7D%20%3D%200.89)
No. 0.2487 is not an interger.
There are two big reasons for this:
1). There is no such thing as an ' interger ',
so no number could be one.
You probably mean ' integer '.
2). An integer is a whole number ... a number
with no fraction part and no decimal part.
0.2847 is all decimal, and not even big enough
to make the smallest whole number. (That's ' 1 '.)
A = LW....L = A/W
A = 93.5
W = 8.5
L = 93.5 / 8.5
L = 11....the length of the cake is 11 inches
Answer:
by answering hte questin
Step-by-step explanation:
Answer:
x= -1
y = 9
Step-by-step explanation:
to solve this system of equation
let
x - 2y = -19.....................................equation 1
-3x + 5y = 48 .................................. equation2
from equation 1
x - 2y = -19.....................................equation 1
x = -19 + 2y................................... equation 3
substitute the value of x into equation 2
-3x + 5y = 48 .................................. equation2
-3(-19 + 2y) + 5y = 48
57 - 6y + 5y = 48
combine the like terms
-6y + 5y = 48 -57
-y = - 9
divide both side by -
y = 9
put y= 9 into equation 3
x = -19 + 2y................................... equation 3
x = -19 + 2(9)
x = -19 + 18
x = -1
therefore the value of x and y is -1 and 9 respectively
