#2**+1 **

You need to find the area of the trapezoid whose "height" goes from 2.5 to 3.5 and whose midline has a length of 0.10.

Area = base · midline = 1 · 0.10 = 0.10

Unfortunately, I don't find that answer.

geno3141 Feb 17, 2020

#4**+1 **

Hi JJ

The area of that whole triangle is 0.5*10*0.2 = 1

It equals 1! This is very significant. The area under a probability graph MUST equal 1.

P(3 < x < 6)

means what is the probability that the value (x) will lay between 3 and 6.

You can find that by finding the area of the shaded region that is between 3 and 6.

So that would be

P(3 < x < 6) =1 - the region in front where x is less than 3 - the region there x is bigger than 6

P(3 < x < 6) =1 - 0.5*3*0.1 - 0.5*4*0.2

P(3 < x < 6) =1 - 0.15 - 0.4

P(3 < x < 6) = 0.45

OR

you could have done it as a trapezium, like Geno did.

P(3 < x < 6) = 0.5(0.1+0.2)*3

P(3 < x < 6) =0.45

Geno just made a careless error - we all do that sometimes.

I hope that helps. I think these concepts are hard to work out. I remember struggling with them.

Melody
Feb 17, 2020