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
Answer:
g=-12
Step-by-step explanation:
3+g=-9
-3 -3
g=-12
4a^5b^8 I hope this helps
Answer:
$4000, $5600 and $7200
Step-by-step explanation:
Let the money be 5x,7x and 9x.
Total collection of money is $16,800
ATQ,
5x+7x+9x=$16,800
21x=$16,800
So, the values are :
5x=5(800) = $4000
7x=7(800) = $5600
9x=9(800) = $7200
Answer:
3rd angle of a triangle = x = 75°
Step-by-step explanation:
1st angle of a triangle = 50°
2nd angle of a triangle = 55°
3rd angle of a triangle = x = ?
We know that sum of three angle of triangle = 180°
1st angle of a triangle + 2nd angle of a triangle + 3rd angle of a triangle = 180°
50° + 55° + x = 180°
105° + x = 180°
x = 180° - 105°
x = 75°
3rd angle of a triangle = x = 75°
