Answer:
600
Step-by-step explanation:
Multiply 30 x 20
Answer: 0.12
Step-by-step explanation: I think that should be the answer if not im sorry i just wanted to help. :(
I'm not sure what method you are supposed to use to graph this. I would do it the following way although you can also change it to vertex form of the equation and graph it using (h,k) and "a".
The way I'd do it..
vertex (-b/2a , y)
-b/2a = -2
plug in this value for x to find the y coordinate.
-4 +8 -3 = 1
vertex (-2, 1)
the negative in front of the x^2 flips the parabola upside down
So you graph an upside down parabola at (-2,1). It's symmetrical, input easy to do points if needed like x=0 , x=-4
Answer:
a ) 0.1403604645 and 0.1368
b) 0.3464961 and 0.3485
c) 0.802671982 and 0.8018
Step-by-step explanation:
Y~ B (15,0.45)
Y~ N (15*0.45, 15*0.45*0.55) = Y~ N (6.75, 3.7125)
a) P(Y=5) = 15C5 (0.45)^5 * (0.55)^10 = 0.1403604645
For normal approximation
P(Y = 5 ) = P ( 4.5 < Y < 5.5 ) ......... continuity correction
Hence,

The probability P ( 4.5 < Y < 5.5 ) = 0.1368
b) P(Y>7) = 15C8 (0.45)^ 8 (0.55)^7 + 15C9 (0.45)^9 * (0.55)^6 + 15C10 (0.45)^10 * (0.55)^5 + 15C11 (0.45)^11 * (0.55)^4 + 15C12 (0.45)^12 * (0.55)^3 + 15C13 (0.45)^13 * (0.55)^2 + 15C14 (0.45)^14 * (0.55) + (0.45)^15
= 0.3464961
For normal approximation
P(Y > 7 ) = P (Y > 7.5 ) ......... continuity correction
Hence,

The probability P ( Y>7.5 ) = 0.3485
c) P (4 < Y < 10) = 15C5 (0.45)^5 (0.55)^10 + 15C6 (0.45)^ 6 (0.55)^9 + 15C7 (0.45)^7 (0.55)^8 + 15C8 (0.45)^ 8 (0.55)^7 + 15C9 (0.45)^9 * (0.55)^6
= 0.802671982
For normal approximation
P( 4 < Y < 10 ) = P (4.5< Y < 9.5 ) ......... continuity correction
Hence,

The probability P (4.5< Y < 9.5 ) = 0.8018