Answer: 120 Packages
Step-by-step explanation:
Given
75 random packages are check
3 package is found faulty
So, the percentage of error is

i.e. 4% packages is faulty
For 3000 sample, expected faulty packages are

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



Whats not affected by the
others outcome
Answer:
The last one decreasing on the interval (-infinity, 0) where it becomes constant
Step-by-step explanation:
You set (x+15) equal to 40 and solve for x.
x+15=40
-15 -15
x=25
Hope this helps!