  # 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?

Question help_outlineImage Transcriptionclose5.4. 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? fullscreen
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Step 1

Consider,

The PDF of X:

Step 2

a)

The required probability can be computed as;

Step 3

B)

The CDF of X is...

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