K : 21 Basket 1 Forever21 × AE American Eagle O·U0 who\'s Most Like, × : a Amazo

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K : 21 Basket 1 Forever21 × AE American Eagle O·U0 who's Most Like, × : a Amazon.com. Twix·0 Dashboard ri.edu/webwork2/MU STAT 2500 SP18/wBWK3-Ch4/4/PeffectiveUser eghn9c&displayMode; Math Jax&user-e; MAA MATHEMATICAL ASSOCIATION OF AMERICA webwork mu-stat-2500-sp18 wtvid-ch4 4 WBWK3-Ch4: Problem 4 Prev Up Next (3 pts) Round answers below to three decimal places. A highway rest area contains a vending machine that dispenses cups of coffee. The amount of coffee that the machine provides when a purchase is made approximately folows a uniform distribution between 200 and 250 ml a) The probability that a randomly selected cup will contain more than 219 ml is (b) The probability that a randomly selected cup will contain between 206 and 234 ml is E 24 percent of aps wil contain more than ml. Note: You can eam partial credit on this problem. Preview Answers Submit Answers You have attempted this problem O times You have unlimited attempts remaining 3 5

Explanation / Answer

Ans:

Given that

Uniform distribution with a=200,b=250

f(x)=1/(250-200)=1/(250-200)=1/50

cumulative distribution function:

F(x)=P(X<=x)=(x-a)/(b-a)=(x-200)/50

a)P(X>219)=1-P(X<=219)=(219-200)/50=19/50=0.38

b)P(206<X<234)=P(X<234)-P(X<206)

=(234-200)/50-(206-200)/50

=(234-206)/50=28/50=0.56

c)P(X>x)=0.24

P(X<=x)=1-0.24=0.76

(x-200)/50=0.76

x=0.76*50+200

x=238

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