The current in a certain circuit as measured by an ammeter is a continuous random variable X with the following density function. fx) = 0.075x + 0.2 3 sxs 5 otherwise (a) Graph the pdf. 0.6 0.6 0.6 0.6 0.5 05 0.5 0.5 0.4 0.4 0.4 0.4 0.3 0.3 0.3 0.3 02 02 02 02 0.1 0.1 0.1 0.1 1 2 1 Verify that the total area under the density curve is indeed 1. 0.075x + 0.2 dx= =1.9375 - (b) Calculate P(X s 4). How does this probability compare to P(X < 4)? O P(X s 4) > P(X < 4) O P(X s 4) < P(X < 4) O P(X s 4) = P(x < 4) (c) Calculate P(3.5 sXs 4.5). Calculate P(4.5 « X).
The current in a certain circuit as measured by an ammeter is a continuous random variable X with the following density function. fx) = 0.075x + 0.2 3 sxs 5 otherwise (a) Graph the pdf. 0.6 0.6 0.6 0.6 0.5 05 0.5 0.5 0.4 0.4 0.4 0.4 0.3 0.3 0.3 0.3 02 02 02 02 0.1 0.1 0.1 0.1 1 2 1 Verify that the total area under the density curve is indeed 1. 0.075x + 0.2 dx= =1.9375 - (b) Calculate P(X s 4). How does this probability compare to P(X < 4)? O P(X s 4) > P(X < 4) O P(X s 4) < P(X < 4) O P(X s 4) = P(x < 4) (c) Calculate P(3.5 sXs 4.5). Calculate P(4.5 « X).
Chapter5: Exponential And Logarithmic Functions
Section5.5: Exponential And Logarithmic Models
Problem 4ECP
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Transcribed Image Text:The current in a certain circuit as measured by an ammeter is a continuous random variable X with the following density function.
fx) = 0.075x + 0.2
3 sxs 5
otherwise
(a) Graph the pdf.
0.6
0.6
0.6
0.6
0.5
05
0.5
0.5
0.4
0.4
0.4
0.4
0.3
0.3
0.3
0.3
02
02
02
02
0.1
0.1
0.1
0.1
1
2
1
Verify that the total area under the density curve is indeed 1.
0.075x + 0.2 dx=
=1.9375 -
(b) Calculate P(X s 4).
How does this probability compare to P(X < 4)?
O P(X s 4) > P(X < 4)
O P(X s 4) < P(X < 4)
O P(X s 4) = P(x < 4)
(c) Calculate P(3.5 sXs 4.5).
Calculate P(4.5 « X).
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