SOLUTION: Let x denote the lifespan of a transistor (in Hour) with the following probabilities : P(X <= 200)= 0.08 and P(X > 600)=0.45 a)What is the probability that the life is less than

Algebra ->  Probability-and-statistics -> SOLUTION: Let x denote the lifespan of a transistor (in Hour) with the following probabilities : P(X <= 200)= 0.08 and P(X > 600)=0.45 a)What is the probability that the life is less than      Log On


   



Question 947572: Let x denote the lifespan of a transistor (in Hour) with the following probabilities : P(X <= 200)= 0.08 and P(X > 600)=0.45
a)What is the probability that the life is less than or equal to 600 hours?
b)What is the probability that the life is greater than 200 hours?
c) What is P(200< X <= 600)

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Let x denote the lifespan of a transistor (in Hour) with the following probabilities : P(X <= 200)= 0.08 and P(X > 600)=0.45
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Note: Draw a normal distribution curve and plot the data
so you can see why the answers are what they are.
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a)What is the probability that the life is less than or equal to 600 hours?
Ans:: 1-045 = 0.55
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b)What is the probability that the life is greater than 200 hours?
Ans:: 1-0.08 = 0.92
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c) What is P(200< X <= 600)
Ans: 1 - [0.08+0.45] = 1-0.53 = 0.47
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Cheers,
Stan H.
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