The response time of a computer system to a request for a certain type of information is...

The response time of a computer system to a request for a certain type of information is hypothesized to have an exponential distribution with parameter λ = 1 sec (so if X = response time , the pdf of X under H₀ is f₀(x) = e^–x for x ≥ 0).

a. If you had observed X₁, X₂, ………., X_n and wanted to use the chi-squared test with five class intervals having equal probability under H0, what would be the resulting class intervals?

b. Carry out the chi-squared test using the following data resulting from a random sample of 40 response times: