The time required for housekeeping to clean a hotel room for the next customer v

Question

The time required for housekeeping to clean a hotel room for the next customer varies between 20 and 44 minutes and follows the continuous uniform distribution. Complete parts a through g a) Calculate the value of f(x). f(x) = | | (Type an integer or decimal rounded to three decimal places as needed.) b) What are the mean and standard deviation for this distribution? The mean of this distribution is minutes (Type an integer or decimal rounded to two decimal places as needed.) The standard deviation of this distribution is minutes. (Type an integer or decimal rounded to two decimal places as needed.)

Explanation / Answer

in the uniform distribution given above a=20 and b=44

a) f(x)=x/(44-20)=x/24

b) mean is (20+44)/2=32

and standard deviation =(b-a)/sqrt(12)=24/sqrt(12)=6.9282

c) P(x=24)=0 since discrete probability is not defined

d) P(x<40)=(40-20)/(44-20)=0.833

e) P(x>35)=(44-35)/(44-20)=9/24 =3/8

f) P(26<x<37)=(37-26)/(44-20)=11/24

g) 0.6=(44-x)/(44-20)= or x=29.6

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

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