Answer:
(a) 0.12 (b) 0.32 (c) 0.56
Step-by-step explanation:
The sample outcomes are Funded or Unfunded. Total sample space is given by:
2²= 4
Fund = F
Unfunded = U
P (F) ist panel = 0.2
P (U) ist panel = 0.8
P (F) 2nd panel = 0.6
P (U) 2nd panel = 0.4
TOTAL SAMPLE SPACE
Ist Panel Second Panel
F F
F U
U F
U U
(a) Probability of both panel approval = P (FF)
= 0.2 x 0.6
= 0.12
(b) Probability of approval disapproved by both panels = P (UU)
= 0.8 x 0.4
= 0.32
(c) Probability of a worthy disapproval by one panel = P(FU) + P(UF)
= (0.2 x 0.4) +(0.8 x 0.6)
= 0.08 + 0.48
= 0.56
You'll need to calculate the applicable z-score:
(given value of x) - (mean value)
z = -----------------------------------------------
standard deviation
370-400 -30
Here, z = --------------- = ---------- = -0.3
100 100
Use either a table of z scores or your calculator to determine the area under the standard normal curve to the left of z = -0.3.
According to my TI-83 Plus calculator, this area is 0.382.
The probability of selecting at random a score less than or equal to 370 is 0.382.
Cuz They Are Identical Duhhh
Answer: The diameter of Eduardo's hair is greater than Orla's hair by 0.007 cm.
Step-by-step explanation:
Given: The diameter of Orla's hair strand = 0.005 cm
The diameter of Eduardo's hair strand = 0.012 cm
Clearly , 
The difference between the diameters=
Thus, the diameter of Eduardo's hair is greater than Orla's hair by 0.007 cm.
I have attached a pic of the graph below.
