Answer: 0.2
Step-by-step explanation:
We know that , the probability density function for uniform distribution is given buy :-
, where x is uniformly distributed in interval [a,b].
Given : The time to process a loan application follows a uniform distribution over the range of 8 to 13 days.
Let x denotes the time to process a loan application.
So the probability distribution function of x for interval[8,13] will be :-
Now , the probability that a randomly selected loan application takes longer than 12 days to process will be :-
![\int^{13}_{12}\ f(x)\ dx\\\\=\int^{13}_{12}\dfrac{1}{5}\ dx\\\\=\dfrac{1}{5}[x]^{13}_{12}\\\\=\dfrac{1}{5}(13-12)=\dfrac{1}{5}=0.2](https://tex.z-dn.net/?f=%5Cint%5E%7B13%7D_%7B12%7D%5C%20f%28x%29%5C%20dx%5C%5C%5C%5C%3D%5Cint%5E%7B13%7D_%7B12%7D%5Cdfrac%7B1%7D%7B5%7D%5C%20dx%5C%5C%5C%5C%3D%5Cdfrac%7B1%7D%7B5%7D%5Bx%5D%5E%7B13%7D_%7B12%7D%5C%5C%5C%5C%3D%5Cdfrac%7B1%7D%7B5%7D%2813-12%29%3D%5Cdfrac%7B1%7D%7B5%7D%3D0.2)
Hence, the probability that a randomly selected loan application takes longer than 12 days to process = 0.2
To find the slope and y-intercept, you need to get the equation into slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.
-12x - 4y = 10
+12x +12x
-4y = 12x + 10
/-4 /-4
y = -3x - 10/4
Answer:
The answers are 54 degrees and 234 degrees
Step-by-step explanation:
mathematically we have the tan positive on only two axes
these are the first (0-90) degrees and the 3rd quadrant (180-270)
We start by find the arc tan of the angle value
Thus;
x = arc tan (1.3562)
x = 54 degrees
On the third quadrant, we have it that;
180 + 54 = 234 degrees
Answer:
well, for pt a, if the circle is partitioned into equal sections, each central angle would be 90 degrees. for pt b, although im not sure if its right *but youll most likely get credit for just doing your hw* i think (again) since its an equally-partitioned circle, the answer would also be 90 degrees for the radians.
:) have a nice day love ❤
Step-by-step explanation:
Answer:
a) 0.345
b) 0.005
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 100
Standard Deviation, σ = 0.3
We are given that the distribution of lengths of lumber is a bell shaped distribution that is a normal distribution.
Formula:
a) P(length greater than 100.12 inches)
P(x > 100.12)
Calculation the value from standard normal z table, we have,
b) Standard error due to sampling:
P(length greater than 100.12 inches for the sample)
P(x > 100.12)
Calculation the value from standard normal z table, we have,
