Question

5. Response times when input is sent from a wired terminal are (generally) much faster. In this situation the distribution is Gamma with shape parameter 1.2 and scale parameter 2.5 sec.

e.Determine values l (for “low”) and h (“high”) such that 95% of all response times fall between l and h, with equal probability of a result below l and above h.

f.How long (seconds) is the interval from l to h?

Answer 1

solution:

given data:

As written in the question, I will be using R to solve these questions. I will be providing the R codes and the answers to each of the questions. As directed, the answers will be rounded to four decimal places.

e) R code: h = qgamma(0.975,shape=1.2,scale=2.5).
Answer = 10.2434.
R code: l = qgamma(0.025,shape=1.2,scale=2.5).
Answer = 0.1283.

f) R code: qgamma(0.975,shape=1.2,scale=2.5) - qgamma(0.025,shape=1.2,scale=2.5).
Answer = 10.1152.

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