Answer:
0.6856
Step-by-step explanation:
![\text{The missing part of the question states that we should Note: that N(108,20) model to } \\ \\ \text{ } \text{approximate the distribution of weekly complaints).]}](https://tex.z-dn.net/?f=%5Ctext%7BThe%20missing%20part%20of%20the%20question%20states%20that%20we%20should%20Note%3A%20that%20%20N%28108%2C20%29%20model%20to%20%7D%20%5C%5C%20%5C%5C%20%20%5Ctext%7B%20%7D%20%5Ctext%7Bapproximate%20the%20distribution%20of%20weekly%20complaints%29.%5D%7D)
Now; assuming X = no of complaints received in a week
Required:
To find P(77 < X < 120)
Using a Gaussian Normal Distribution (
108, 
= 20)
Using Z scores:
As a result X = 77 for N(108,20) is approximately equal to to Z = -1.75 for N(0,1)
SO;
Here; X = 77 for a N(108,20) is same to Z = 0.6 for N(0,1)
Now, to determine:
P(-1.75 < Z < 0.6) = P(Z < 0.6) - P( Z < - 1.75)
From the standard normal Z-table:
P(-1.75 < Z < 0.6) = 0.7257 - 0.0401
P(-1.75 < Z < 0.6) = 0.6856
I did the equation, however as for my final answer, i got 13/105 but the fraction doesn't match with any of the choices...
Answer: (a) 36.07km, (b) 253.2°
(c) 19.18km
Step-by-step explanation:
The rectangle they give you is 12 units tall. This is the result of scaling by a factor of 1.5, ie it is 1.5 times taller than what the answer will be. Let the answer rectangle have a height of h. This means h*1.5 = 12, or 1.5h = 12
Divide both sides by 1.5 to find that h = 8. The answer rectangle's height is 8 units.
The width's will be treated in a similar manner. I picked on the height since it's easier to see that the height lines up with 12 (the width seems to be between 2 and 4, but its not clear if its at the midpoint).
This is how I believe it would look like
