QMB 3200 Section UO7 Spring 2018 Dylan Bautista | 2/21/18 Quiz: Quiz 2 (Take Hom

Question

QMB 3200 Section UO7 Spring 2018 Dylan Bautista | 2/21/18 Quiz: Quiz 2 (Take Home) Time Remaining: 01:28:34 This Question: 7 pts 2 of 13 (0 This Quiz: 41 time of 10 Type an integer or decimal rounded to two decimal places as needed.) e) What is the probability that the employee's next commute to work will require less than 12 5 minues? Type an integer or decimal rounded to three decimal places as needed) di What is the probability that the employee's next commute to work will require more than 165 minudes? (Type an integer or decrnal rounded to three dermal places as nooded > e) What is the (Type an integer or decimal rounded to three decimal places as needed.) 1) What commute time represents the 30th percentile of this distribution? probability that the employee's next commute to work will equire between 15 and 19 minutes? mnutes ype an Enter your

Explanation / Answer

Unif (10 ,22)
F(x) = (x - 10)/(22-10) = (x-10)/12

c)
P(X < 12.5)
= (12.5-10)/12
= 0.2083333

d)
P(X > 16.5)
= 1 - P(X < 16.5)
= 1 - 6.5/12
= 0.458333
e)
P(15 <X< 19)
= (19-15)/12
= 4/12
= 0.333333
f)
P(X <x) = 0.30
(x-10)/12 = 0.30
x = 10 + 12 * 0.30
= 10 + 3.6
= 13.6

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