Answer:
The right answer is:
(a) -10.67
(b) 0.7986
Step-by-step explanation:
(a)
According to the question,
<u>X P(X) X.P(X) X2.P(X)</u>
<u>12130 0.002 24.26 294274</u>
<u>-35 0.998 -34.93 1222.55</u>
Now,
![\Sigma x.P(x) = -10.67](https://tex.z-dn.net/?f=%5CSigma%20x.P%28x%29%20%3D%20-10.67)
or,
![\Sigma x^2.P(x) = 295496.35](https://tex.z-dn.net/?f=%5CSigma%20x%5E2.P%28x%29%20%3D%20295496.35)
hence,
The mean will be:
![\Sigma x.P(x) = -10.67](https://tex.z-dn.net/?f=%5CSigma%20x.P%28x%29%20%3D%20-10.67)
(b)
According to the question,
n = 12
p = 0.125
q = 1 - p
= 0.875
Now,
⇒ ![P(X=x) = \binom{n}{x} p^x q^{n-x}](https://tex.z-dn.net/?f=P%28X%3Dx%29%20%3D%20%5Cbinom%7Bn%7D%7Bx%7D%20p%5Ex%20q%5E%7Bn-x%7D)
By substituting the values, we get
⇒ ![P(X \geq 1)=1-(\binom{12}{0} 0.125^0. 0.875^{12-0})](https://tex.z-dn.net/?f=P%28X%20%5Cgeq%201%29%3D1-%28%5Cbinom%7B12%7D%7B0%7D%200.125%5E0.%200.875%5E%7B12-0%7D%29)
⇒ ![=1-(1 (0.125^0) (0.875^{12}))](https://tex.z-dn.net/?f=%3D1-%281%20%280.125%5E0%29%20%280.875%5E%7B12%7D%29%29)
⇒ ![=1-(1(1.0)(0.2014))](https://tex.z-dn.net/?f=%3D1-%281%281.0%29%280.2014%29%29)
⇒ ![=1-(0.2014)](https://tex.z-dn.net/?f=%3D1-%280.2014%29)
⇒
In general, the statement 'a is subtracted from b' is written as
![b-a](https://tex.z-dn.net/?f=b-a)
Therefore, 'A number is subtracted from 2' is written as,
![2-x](https://tex.z-dn.net/?f=2-x)
The answer is 2-x
Answer:
Step-by-step explanation:
<u>Given line:</u>
Perpendicular lines have negative-reciprocal slopes.
<u>We will have a line:</u>
<u>Use the coordinates of the given point to find the value of b:</u>
- -1 = -3(5) + b
- -1 = - 15 + b
- b = 14
<u>So the line is:</u>
Answer: answer is C
Step-by-step explanation:
You got the area of the rectangle right the 12 by 8 it is 96
but you forgot about the triangle on top
Here are the formula's
rectangle: a=lw
triangle: a=hb/2
so the base of the triangle is 12 and the height is 4
12·4=48
48÷2=24
so you have to add 96+24=120
so c is your answer