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
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Author:Amos Gilat
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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
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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