# Thread: Gaussian / Normal PDf

1. ## Gaussian / Normal PDf

Que. 1 Consider a Gaussian PDF with µ = 20, σ = 30, a = 50 and b =80. Determine i)Probability that P(x>b)
ii)P(x ≤ b)
iii)P(x ≤ - b)
iv)P(a ≤ x ≤ b)

Que. 2 In a certain manufacturing process only shafts whose diameters are less than 1.5 inches can be used. Given the shaft diameters are normally distributed with mean (µ) 1.490 inches and standard deviation (σ) 0.005 inches, determine the percentage of shafts that are usable.

2. Originally Posted by axnman
Que. 1 Consider a Gaussian PDF with µ = 20, σ = 30, a = 50 and b =80. Determine i)Probability that P(x>b)
ii)P(x ≤ b) Mr F says: Find Pr(X < 80).
iii)P(x ≤ - b) Mr F says: Find Pr(X < - 80) = Pr (X > 80) = 1 - Pr(X < 80).
iv)P(a ≤ x ≤ b) Mr F says: Find Pr(50 < X < 80) = Pr(X < 80) - Pr(X < 50).

Que. 2 In a certain manufacturing process only shafts whose diameters are less than 1.5 inches can be used. Given the shaft diameters are normally distributed with mean (µ) 1.490 inches and standard deviation (σ) 0.005 inches, determine the percentage of shafts that are usable.
The techniques you need to use are the same as those shown in this thread: http://www.mathhelpforum.com/math-he...ease-help.html

Where are you stuck?