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1 answer:
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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 :-
Hence, the probability that a randomly selected loan application takes longer than 12 days to process = 0.2
From right triangle trigonometry, we have the following:
,
where the "opposite side" means the opposite side to angle with measure
, and "adjacent side" means the adjacent side to angle with measure .
is a constant which can be found using a calculator.
In the calculator of the pc press: view - scientific - 35 - tan.
This gives
Thus, back in the equation we substitute as follows and solve:
Answer: 8.4 cm
where the "opposite side" means the opposite side to angle with measure
In the calculator of the pc press: view - scientific - 35 - tan.
This gives
Thus, back in the equation
Answer: 8.4 cm