Answer: The probability that it will break down in the next 21 days is 0.777
Step-by-step explanation:
Let the random variable x represent
time between breakdowns of a generator
Given that mean = 14 days,
Decay parameter, m = 1/14
The probability density function for exponential distribution is expressed as
F(x) = me-mx
It becomes
f(x) = 1/14e-(x × 1/14)
P(X < x) = 1 - e- mx
The probability that it will break down in the next 21 days is expressed as
P(x ≤ 21) = P(x < 21)
Therefore,
P(x < 21) = 1 - e-(1/14 × 21)
= 1 - e-1.5
= 1 - 0.223 = 0.777
P(x ≤ 21) = 0.777
Good night from Canada!
Let x represent the unknown sum of a number.
The answer is: x+7 53
represents less than or equal to, which is the same as no more than, just in different wording.
Hope this helps!
Answer:
Mean:
Median: 63, 66, 67, 68, 73, 74, 76, 78, 80, 83, 86, 87, 88, 89, 89, 89, 93, 93, 95, 99, 100
= 169/2
Mode: 100
Step-by-step explanation:
Answer:
x=2 x=-4
Step-by-step explanation:
x^2 +2x-8=0
Factor
What numbers multiply to -8 and add to 2
-2*4 = -8
-2+4 =2
(x-2) (x+4) =0
Using the zero product property
x-2 =0 x+4 =0
x-2+2=0+2 x+4-4=0-4
x=2 x=-4