Evaluate the cumulative distribution function, F, for the given random variable, X, at specified values: also determine the requ
1 answer:
Answer:
Step-by-step explanation:
Given that x is a random variable with probability density function given as
To find cumulative function for x
F(1) =
F(2) =
F(3) =
a) P(X lessthanorequalto 1.5)
=
(b) P(X lessthanorequalto 3) =__F(3) = 1_________
(c) P(X > 2) =__f(3) = 1/31________
(d) P(1 < X lessthanorequalto 2) =__f(2) = 25/31____
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Answer:
(a)
(b)
(c)
Step-by-step explanation:
The Euclidean algorithm is an efficient method for computing the greatest common divisor of two integers, without explicitly factoring the two integers.
The Euclidean algorithm solves the problem:
<em> Given integers </em><em>, find </em>
<em />
Here is an outline of the steps:
- Let
,
.
- Given
, use the division algorithm to write
.
- If
, stop and output
; this is the gcd of
.
- If
, replace
by
. Go to step 2.
The division algorithm is an algorithm in which given 2 integers N and D, it computes their quotient Q and remainder R.
Let's say we have to divide N (dividend) by D (divisor). We will take the following steps:
Step 1: Subtract D from N repeatedly.
Step 2: The resulting number is known as the remainder R, and the number of times that D is subtracted is called the quotient Q.
(a) To find we apply the Euclidean algorithm:
The process stops since we reached 0, and we obtain .
(b) To find we apply the Euclidean algorithm:
The process stops since we reached 0, and we obtain .
(c) To find we apply the Euclidean algorithm:
The process stops since we reached 0, and we obtain .