Answer: a) 0.8413, b) 0.9987.
Step-by-step explanation:
Since we have given that
Mean = 3 pounds
Standard deviation = 0.25 pounds
n = 28 bricks
So, (a) What is the probability that all the bricks in the sample exceed 2.75 pounds?
b) What is the probability that the heaviest brick in the sample exceeds 3.75 pounds?
Hence, a) 0.8413, b) 0.9987.
Answer:
Step-by-step explanation:
The standard form of an equation for a straight line is y=mx+b, where m is the slope and b is the y-intercept (the value of y when x = 0).
We can calculate the slope from the two given points, (6,-3) and (-6,-5). Slope is Rise/Run, where Rise is the change in y and Run is the change in x.
From the two given points, starting at (-6,-5) and going to (6,-3):
Rise = (-3 - (-5)) = +2
Run = (6 - (-6)) = 12
Rise/Run (slope) = 2/12 or 1/6
The equation becomes y = (1/6)x + b
We can find b by enterieng either of the two given points and solving for b. I'll pick (6,-3):
y = (1/6)x + b
-3 = (1/6)*(6) + b
-3 = 1 + b [Now you can see why I chose (6,-3)]
b = -4
The equation is y = (1/6)x - 4
Check this with a DESMOS graph (attached).
