An example of a uniform distribution is f(x)=1 for 0 x 1. The mean of the distri

Question

An example of a uniform distribution is f(x)=1 for 0 x 1. The mean of the distribution for this example is 0.5 and the standard deviation is approximately 0.29. The graph of the distribution for this example is a square with the height and width both equal to1 unit. In general, the a+ b density function for a uniform distribution on the interval from x - a and x b is given by x) a The mean is 2and the standard #0.5 n isComplete pts (a) and (b) below. (b- a)2 12 (a) Find the probability that x falls between 0.25 and 0.5. The probability isType an integer or a decimal.)

Explanation / Answer

Probability
=P[0.25 < X < 0.5], X~Unif(0,1)
=P[X<0.5] - P[X<0.25]
=0.5 - 0.25 { since P[X<x] = (x-a)/(b-a), when X~Unif(a,b) and here, a=0, b=1}
=0.25.

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.