Problem1

Prob (a)

Prob (b)

\(\lambda\)=4.5

\(P(x\leq 3)\)

#4.5 breakdowns per day
#P(x=3)
ppois(3, lambda = 4.5)
## [1] 0.342296

I used this formula since I am working with cumulative values.

Prob (c)

\(P(T<2)=1-e^{-0.5625*2}\)

#time between less than 2 hours
pexp(2, rate=.5625)
## [1] 0.6753475

In general to find this I would use exponential distribution

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