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The probability density function of the time it takes a
Chapter 4, Problem 192SE(choose chapter or problem)
The probability density function of the time it takes a hematology cell counter to complete a test on a blood sample is \(f(x)=0.04\) for \(50<X<75\) seconds.
(a) What percentage of tests requires more than 70 seconds to complete?
(b) What percentage of tests requires less than one minute to complete?
(c) Determine the mean and variance of the time to complete a test on a sample.
Equation transcription:
Text transcription:
f(x)=0.04
50<X<75
Questions & Answers
QUESTION:
The probability density function of the time it takes a hematology cell counter to complete a test on a blood sample is \(f(x)=0.04\) for \(50<X<75\) seconds.
(a) What percentage of tests requires more than 70 seconds to complete?
(b) What percentage of tests requires less than one minute to complete?
(c) Determine the mean and variance of the time to complete a test on a sample.
Equation transcription:
Text transcription:
f(x)=0.04
50<X<75
ANSWER:Answer
Step 1 of 3
(a)
The probability density function is given
We are asked to find the percentage of tests requires more than seconds to complete.
Let represent the random variable that denotes the time required to complete a test on a blood sample.
Hence is uniformly distributed between
We need to find the probability
Hence the percent of tests requires more than seconds to complete.