5.4. The probability density function of X, the lifetime of a certain type of electronic device (measured in hours), is given by10x > 10f)010a. Find P{X> 20}.b. What is the cumulative distribution function of X?c. What is the probability that of 6 such types of devices, at least 3 will function for at least 15 hours? What assumptions are you making?
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5.4. The probability density function of X, the lifetime of a certain type of electronic device (measured in hours), is given by 10 x > 10 f) 0 10 a. Find P{X> 20}. b. What is the cumulative distribution function of X? c. What is the probability that of 6 such types of devices, at least 3 will function for at least 15 hours? What assumptions are you making?
Consider,
The PDF of X:
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10 :> 10 7,X f(x)= x (0,x<10
a)
The required probability can be computed as;
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10 > 10 f(X)=x 0,x<10 10 P(X 20) 20 - 10 20 1 =-10 1 20 :-10 20 =0.5
B)
The CDF of X is...
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x P(Xx)=f(x)ds 10 10 x 10 1 0-10 10 1 =-10 x 10 10 =1-- x
Math
Statistics
Hypothesis Testing
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