4-9 The probability density function of the net weight in pounds of a packaged chemical herbicide is f(x)=2.0 for 49.75 x) = 0.90 0.90 Z 28 x 770-25 Le 2x = 99.60 x = 49.80 TD-25 50 2-0 dx 100.50-20 ✓ = 0.50 ✓ 2x 50.25 x 100.50-2x
4-9 The probability density function of the net weight in pounds of a packaged chemical herbicide is f(x)=2.0 for 49.75 x) = 0.90 0.90 Z 28 x 770-25 Le 2x = 99.60 x = 49.80 TD-25 50 2-0 dx 100.50-20 ✓ = 0.50 ✓ 2x 50.25 x 100.50-2x
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Transcribed Image Text:4-9. The probability density function of the net weight
in pounds of a packaged chemical herbicide is f(x) = 2.0 for
49.75<x<50.25 pounds.
(a) Determine the probability that a package weighs more
than 50 pounds.
(b) How much chemical is contained in 90% of all packages?
a. P(X750) = 2.0 dx
• £.2.0 d
9.
Jo
b. P(x >x)
= 0.90
Z
110.25
2x12x
28
JD
7tD-25
2-0 dx
0.90 = 100.50 -2x
2x = 99.60
x =
49.80 ✓
=
0.50 ✓
2x
50.25
x
100.50-20
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