The graph to the right is the uniform probability density function for a friend

Question

The graph to the right is the uniform probability density function for a friend who is x minutes late.

00

1515

4040%

StartFraction 1 Over 30 EndFraction130

(a) The probability is

.

(Type an integer or a simplified fraction.)

The graph to the right is the uniform probability density function for a friend who is x minutes late.

(a) Find the probability that the friend is between

00

and

1515

minutes late.(b) It is 10 A.M. There is a

4040%

probability the friend will arrive within how many minutes? 01020300Time (min)Density      

StartFraction 1 Over 30 EndFraction130

XA probability density function has a horizontal axis labeled "X" and "Time (minutes)" from 0 to 35 in intervals of 5 and a vertical axis labeled "Density" from 0 to StartFraction 1 over 30 EndFraction plus. The probability density function is a rectangle from 0 to 30 with a height of StartFraction 1 over 30 EndFraction.

Explanation / Answer

as it is uniform distribution with parameter a =0 and b=30 minutes

a) probability that the friend is between 0 and 15 minutes =(15-a)/(b-a)=(15-0)/30-0)=0.5

b)for 40% probabilty; friend will arrrive with in =0.4*(b-a) =0+0.4*(30-0)=12 mintues

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

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