Information for Problems 1 5 The thickness x of a flange on

Information for Problems 1 - 5: The thickness, x, of a flange on an aircraft component is uniformly distributed between 0.95 and 1.15 millimeters. (1 point each)

1.) Find the probability distribution function for x.  

2.) Find the proportion of flanges that exceeds 1.03 millimeters.

3.) Find the probability that a flange has a thickness less than 0.99 millimeters.

4.) Find the thickness that is exceeded by 60% of the flanges.

5.) Find the mean flange thickness.  

Solution

1) f(x)=1/1.15-0.95

2) 1.15-1.03=0.13 flanges exceeds 1.03 mm.

3) P(x<0.99)=(0.99-0.95/1.15-0.95)=0.2

4) P(X>x)=0.6

1-P(X<x)=0.6

P(X<x)=0.4

X-0.95/1.15-0.95=0.4

X-0.95=0.8

X=1.03

5) mean=a+b/2=0.95+1.15/2=1.05