Answer:
a) 0.1353
b) 0.3679
Step-by-step explanation:
Let's start by defining the random variable T.
T : ''The time (in hours) required to repair a machine''
T ~ exp (λ)
T ~ exp (1)
The probability density function for the exponential distribution is
(In the equation I replaced λ = L)

With L > 0 and x ≥ 0
In this exercise λ = 1 ⇒

For a)





For b)

The event (T ≥ 10 / T > 9) is equivalent to the event T ≥ 1 so they have the same probability of occur



0.22% shrinkage as a percent of sales.
To calculate shrinkage you subtract the physical inventory value from the book value.
245,000-237,000 = 800
The shrinkage was $800. To find the shrinkage as a percent of sales take the shrinkage value and divide it by the sales value to get shrinkage as a percentage of sales.
800 / 360,000 = 0.0022....
Multiply Decimal by 100 to get the percentage
100 * 0.0022.... = 0.22%