A dart is thrown at a number line in such a way that it always lands in the interval [0,10]. Let x represent the number that the dart hits. Suppose that the probability density function for x is given by the following function. 1 f(x) = 50x, for 0 ≤x≤ 10 Find P(6 ≤x≤7), the probability that the dart lands in [6,7]. How is the probability that the dart lands in [6,7] found? 1 O A. Integrate 50x twice, then evaluate the integral over the limits 6 and 7. 1 O B. Evaluate the expression x over the limits 6 and 7, then add. 50 1 O C. Integrate 50x, then evaluate the integral over the limits 6 and 7.
A dart is thrown at a number line in such a way that it always lands in the interval [0,10]. Let x represent the number that the dart hits. Suppose that the probability density function for x is given by the following function. 1 f(x) = 50x, for 0 ≤x≤ 10 Find P(6 ≤x≤7), the probability that the dart lands in [6,7]. How is the probability that the dart lands in [6,7] found? 1 O A. Integrate 50x twice, then evaluate the integral over the limits 6 and 7. 1 O B. Evaluate the expression x over the limits 6 and 7, then add. 50 1 O C. Integrate 50x, then evaluate the integral over the limits 6 and 7.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![A dart is thrown at a number line in such a way that it always lands in the interval [0,10]. Let x represent the number that the dart hits. Suppose that the
probability density function for x is given by the following function.
1
f(x) =
50 x, for 0≤x≤ 10
Find P(6 ≤x≤ 7), the probability that the dart lands in [6,7].
How is the probability that the dart lands in [6,7] found?
1
O A. Integrate 50x twice, then evaluate the integral over the limits 6 and 7.
1
O B. Evaluate the expression 50x over the limits 6 and 7, then add.
1
OC. Integrate 50x, then evaluate the integral over the limits 6 and 7.
O D. Evaluate the expression over the limits 6 and 7, then subtract.
1
50
P(6 ≤x≤7)= (Type an integer or a simplified fraction.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8bde779e-c68e-4dd4-a0b8-70b65f5ae251%2Fd9da5a53-73cb-4bd9-8b10-d1b67693b974%2Fmi2h42d_processed.png&w=3840&q=75)
Transcribed Image Text:A dart is thrown at a number line in such a way that it always lands in the interval [0,10]. Let x represent the number that the dart hits. Suppose that the
probability density function for x is given by the following function.
1
f(x) =
50 x, for 0≤x≤ 10
Find P(6 ≤x≤ 7), the probability that the dart lands in [6,7].
How is the probability that the dart lands in [6,7] found?
1
O A. Integrate 50x twice, then evaluate the integral over the limits 6 and 7.
1
O B. Evaluate the expression 50x over the limits 6 and 7, then add.
1
OC. Integrate 50x, then evaluate the integral over the limits 6 and 7.
O D. Evaluate the expression over the limits 6 and 7, then subtract.
1
50
P(6 ≤x≤7)= (Type an integer or a simplified fraction.)
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