Answer:
the mean of the study times is greater than the median
Step-by-step explanation:
Answer: 0
Step-by-step explanation: In order to identify the <em>y-intercept</em> of this equation, we want to get this equation into slope-intercept form which is more commonly known as y = mx + b form.
The problem is our equation doesn't match up quite so well with the formula y = mx + b. Our slope or <em>m</em> which is represented by the coefficient of the <em>x</em> <em>term</em> is clearly +4 but what is our y-intercept or b?
Well y = 4x can be thought of as y = 4x + 0 so you can see that our b or y-intercept equals 0.
Answer:
13 students
Step-by-step explanation:
4 plus 9 = 13
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