Answer:
(a) 0.20
(b) 31%
(c) 2.52 seconds
Step-by-step explanation:
The random variable <em>Y</em> models the amount of time the subject has to wait for the light to flash.
The density curve represents that of an Uniform distribution with parameters <em>a</em> = 1 and <em>b</em> = 5.
So, 
(a)
The area under the density curve is always 1.
The length is 5 units.
Compute the height as follows:
Thus, the height of the density curve is 0.20.
(b)
Compute the value of P (Y > 3.75) as follows:
![P(Y>3.75)=\int\limits^{5}_{3.75} {\frac{1}{b-a}} \, dy \\\\=\int\limits^{5}_{3.75} {\frac{1}{5-1}} \, dy\\\\=\frac{1}{4}\times [y]^{5}_{3.75}\\\\=\frac{5-3.75}{4}\\\\=0.3125\\\\\approx 0.31](https://tex.z-dn.net/?f=P%28Y%3E3.75%29%3D%5Cint%5Climits%5E%7B5%7D_%7B3.75%7D%20%7B%5Cfrac%7B1%7D%7Bb-a%7D%7D%20%5C%2C%20dy%20%5C%5C%5C%5C%3D%5Cint%5Climits%5E%7B5%7D_%7B3.75%7D%20%7B%5Cfrac%7B1%7D%7B5-1%7D%7D%20%5C%2C%20dy%5C%5C%5C%5C%3D%5Cfrac%7B1%7D%7B4%7D%5Ctimes%20%5By%5D%5E%7B5%7D_%7B3.75%7D%5C%5C%5C%5C%3D%5Cfrac%7B5-3.75%7D%7B4%7D%5C%5C%5C%5C%3D0.3125%5C%5C%5C%5C%5Capprox%200.31)
Thus, the light will flash more than 3.75 seconds after the subject clicks "Start" 31% of the times.
(c)
Compute the 38th percentile as follows:
Thus, the 38th percentile is 2.52 seconds.
Answer:
EBM = +-54.126
Step-by-step explanation:
In this question we have confidence interval to be 80%
The formula to solve this is in the attachment.
Bar X = 1460
Z-alpha/2 = 1.282
Sd = standard deviation = 198 employees
n = 22 departments
After we have inserted all values in to the formula we have:
1460 +-(1.282*198/√22)
= 1460+-(54.12604)
= (1405.87, 1514.126)
The error bounded mean EBM
= +-z-alpha/2 x (sd/√n)
= 1.282 x 198/√22
= 1.282 x 42.22
EBM = +-54.126
1. 78 = 0.15x
78 / 0.15 = x
520 = x.....so 78 is 15% of 520
2. | 3x - 2 | = 8 | x + 1 | = 1
3x - 2 = 8 -(3x - 2) = 8 x + 1 = 1 -(x + 1) = 1
3x = 8 + 2 -3x + 2 = 8 x = 1 - 1 -x - 1 = 1
3x = 10 -3x = 6 x = 0 -x = 2
x = 10/3 x = -2 x = -2
ur answer is : x = -2
3. 3y - 4x + 5 = 0
3y = 4x - 5
y = 4/3x - 5/3
slope = 4/3
Answer:
c < - 6
Step-by-step explanation:
Given
3(2c - 8) - 10c > 0 ← distribute and simplify left side
6c - 24 - 10c > 0
- 4c - 24 > 0 ( add 24 to both sides )
- 4c > 24
Divide both sides by - 4, reversing the inequality symbol as a consequence of dividing by a negative quantity.
c < - 6
(13•4) + (3•8) +3 = 79
The total cost is $79
