Answer:
For first lamp ; The resultant probability is 0.703
For both lamps; The resultant probability is 0.3614
Step-by-step explanation:
Let X be the lifetime hours of two bulbs
X∼exp(1/1400)
f(x)=1/1400e−1/1400x
P(X<x)=1−e−1/1400x
X∼exp(1/1400)
f(x)=1/1400 e−1/1400x
P(X<x)=1−e−1/1400x
The probability that both of the lamp bulbs fail within 1700 hours is calculated below,
P(X≤1700)=1−e−1/1400×1700
=1−e−1.21=0.703
The resultant probability is 0.703
Let Y be a lifetime of another lamp two bulbs
Then the Z = X + Y will follow gamma distribution that is,
X+Y=Z∼gamma(2,1/1400)
2λZ∼
X+Y=Z∼gamma(2,1/1400)
2λZ∼χ2α2
The probability that both of the lamp bulbs fail within a total of 1700 hours is calculated below,
P(Z≤1700)=P(1/700Z≤1.67)=
P(χ24≤1.67)=0.3614
The resultant probability is 0.3614
A straight line is represented by a linear equation given below.
The points are given as (1, 2) and (4, 4).
Start by calculating the slope (m)
So, we have
<h3>What is the slope-intercept form of the line?</h3>
The equation in slope-intercept form is then calculated as:
So, we have:
Expand
Take LCM
Multiply through by 3
3y=2x+4
So, the possible equations are:
.
To learn more about linear equations visit:
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Answer:
friend me on here and imma send you the link Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Hope this helps hope you get it right
Answer:
See below.
Step-by-step explanation:
40 + 15x = 30 + 19x
15x - 19x = 30 - 40
-4x = -10
x = 2.5
Two and a half hours.
