Respuesta :
Answer:
The correct answer is [tex]\frac{1}{3}[/tex] = 0.33.
Step-by-step explanation:
A uniform random variable is used to describe the outcome of an experiment with the parameters being 50 and 80.
Probability density function = f(x) = [tex]\left \{ {{\frac{1}{b-a} , a<x<b} \atop {0 ,otherwise}} \right.[/tex]
Here a = 50 and b = 80.
We need to find the value of probability of this given experiment in an outcome less than 60.
∴ P(X<60) = [tex]\frac{60-50}{80-50} = \frac{10}{30} = \frac{1}{3}[/tex] = 0.33.
Thus the required probability is given by 0.33.
Probability [numbers less than 60 between 50 to 80] is 1/3
Given that;
Total numbers between 50 to 80 = 80 - 50 = 30
Total numbers less than 60 between 50 to 80 = 60 - 50 = 10
Find:
Probability [numbers less than 60 between 50 to 80]
Computation:
Probability [numbers less than 60 between 50 to 80] = Total numbers less than 60 between 50 to 80 / Total numbers between 50 to 80
Probability [numbers less than 60 between 50 to 80] = 10 / 30
Probability [numbers less than 60 between 50 to 80] = 1/3
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