Answer:
P ( 1.2 < X < 2.1 ) = 0.3
Step-by-step explanation:
Given:
Uniform distribution over interval (0,3) can be modeled by a probability density function f(x)
f(x) = 1 / (b - a)
Where a < x < b is the domain at which function is defined:
f(x) = 1 / (3) = 1 / 3
Where, X - U ( u , δ )
u = ( a + b ) / 2 = (0 +3) / 2 = 1.5
δ = ( b - a ) / sqrt (12) = (3 - 0) / sqrt (12) = 0.866
Hence,
X - U ( 1.5 , 0.866 )
There-fore calculating P ( 1.2 < X < 2.1 ):

Where, a = 1.2 and b = 2.1
P ( 1.2 < X < 2.1 ) = x / 3 |
P ( 1.2 < X < 2.1 ) = 2.1 /3 - 1.2 / 3 = 0.3
Answer: P ( 1.2 < X < 2.1 ) = 0.3
Answer:
s= 30000+1500x
Step-by-step explanation:
Given data
Le the number of years be x
His salary for the first year is $30,000
5% of $30,000
=5/100*30000
= 0.05*30000
= $1500
Hence for x years the salary can be described as
s= 30000+1500x
Add 5
5,10,15,20,25,30....
Using decimal multipliers, it is found that a rate of return of 5.2% in the third year will produce a cumulative gain of 16%.
The <u>decimal multiplier</u> for a increase of a% is given by:

In this problem, two increases of 5%, thus:

Another of x, that we want to find, and the result is a increase of 16%, thus:

The three increases(5%, 5% and x%) result in a increase of 16%, thus:



1.052 - 1 = 0.052
A rate of return of 5.2% in the third year will produce a cumulative gain of 16%.
A similar problem is given at brainly.com/question/21806362
o o o oh here we go walking talking like a
Step-by-step explanation:
- lol
