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. f(x) = = 50x₁1 for 0≤x≤ 10 Find P(6 ≤x≤ 10), the probability that the dart lands in [6,10]. How is the probability that the dart lands in [6,10] found? 1 O A. Integratex twice, then evaluate the integral over the limits 6 and 10. 1 OB. Evaluate the expression 50x over the limits 6 and 10, then subtract. 1 OC. Evaluate the expression 50x over the limits 6 and 10, then add. 1 ⒸD. Integrate 50x, then evaluate the integral over the limits 6 and 10. P(6 ≤x≤ 10) = (Type an integer or a simplified fraction.) C...
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. f(x) = = 50x₁1 for 0≤x≤ 10 Find P(6 ≤x≤ 10), the probability that the dart lands in [6,10]. How is the probability that the dart lands in [6,10] found? 1 O A. Integratex twice, then evaluate the integral over the limits 6 and 10. 1 OB. Evaluate the expression 50x over the limits 6 and 10, then subtract. 1 OC. Evaluate the expression 50x over the limits 6 and 10, then add. 1 ⒸD. Integrate 50x, then evaluate the integral over the limits 6 and 10. P(6 ≤x≤ 10) = (Type an integer or a simplified fraction.) C...
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) = 50x, for 0≤x≤ 10
Find P(6 ≤x≤ 10), the probability that the dart lands in [6,10].
How is the probability that the dart lands in [6,10] found?
1
O A. Integrate 50x twice, then evaluate the integral over the limits 6 and 10.
1
O B. Evaluate the expression 50x over the limits 6 and 10, then subtract.
1
OC. Evaluate the expression over the limits 6 and 10, then add.
1
ⒸD. Integrate 50x, then evaluate the integral over the limits 6 and 10.
P(6≤x≤ 10) = (Type an integer or a simplified fraction.)
C](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F028b060d-9803-401e-aed3-b5113bbdb174%2F9e0cc147-dd3b-4097-9c13-be82165ab15d%2Fxrzmlle_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) = 50x, for 0≤x≤ 10
Find P(6 ≤x≤ 10), the probability that the dart lands in [6,10].
How is the probability that the dart lands in [6,10] found?
1
O A. Integrate 50x twice, then evaluate the integral over the limits 6 and 10.
1
O B. Evaluate the expression 50x over the limits 6 and 10, then subtract.
1
OC. Evaluate the expression over the limits 6 and 10, then add.
1
ⒸD. Integrate 50x, then evaluate the integral over the limits 6 and 10.
P(6≤x≤ 10) = (Type an integer or a simplified fraction.)
C
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