The response times on an online computer terminal have approximately a gamma distribution with mean four seconds and variance eight seconds? a. Write the probability density function for the response times. b. What is the probability that the response time on the terminal is less than five seconds?
Added by Lauren F.
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The gamma distribution is defined by two parameters, the shape parameter k and the scale parameter θ. The mean of a gamma distribution is k*θ and the variance is k*θ^2. Given that the mean is 4 seconds and the variance is 8 seconds, we can solve for k and θ: 4 = Show more…
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'QUESTION 6 The response times on an online computer terminal have approximately a gamma distribution with mean four seconds and variance eight seconds: What is the probability that the response time on the terminal is less than five seconds: [HINT: You need to find Q and 8:] (Round decimal to four decimal places:)'
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