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
Answer:
Multiply numerator and denominator with same number to gwt the answers . There are infinitely many numbers
3/10 × 2/2 = 6/20
3/10 × 5/5 = 15/50
3/10 × 10/10 = 30/100
And so on
Answer:
B and F
Step-by-step explanation:
Given
x² + 4x + 4 = 12 ( subtract 4 from both sides )
x² + 4x = 8
Using the method of completing the square to solve for x
add ( half the coefficient of the x- term )² to both sides
x² + 2(2)x + 4 = 8 + 4, that is
(x + 2)² = 12 ( take the square root of both sides )
x + 2 = ± 
( subtract 2 from both sides )
x = ± - 2
= ± 2
- 2
Hence
x = 2 - 2 → B
x = - 2 - 2 → F
Answer:
7.8
Step-by-step explanation:
