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The next three questions refer to the following information: Richard’s Furniture Company delivers furniture from 10 A.M. to 2 P.M. continuously and uniformly. We are interested in how long (in hours) past the 10 A.M. start time that individuals wait for their delivery.

Exercise 1

X X size 12{X "~" } {} ~

  • A. U ( 0,4 ) U ( 0,4 ) size 12{U \( 0,4 \) } {}
  • B. U ( 10 , 2 ) U ( 10 , 2 ) size 12{U \( "10",2 \) } {}
  • C. N ( 2,1 ) N ( 2,1 ) size 12{N \( 2,1 \) } {}

Solution

A

Exercise 2

The average wait time is:

  • A. 1 hour
  • B. 2 hour
  • C. 2.5 hour
  • D. 4 hour

Solution

B

Exercise 3

  • 40% of full-time students took 4 years to graduate
  • 30% of full-time students took 5 years to graduate
  • 20% of full-time students took 6 years to graduate
  • 10% of full-time students took 7 years to graduate

The expected time for full-time students to graduate is:

  • A. 4 years
  • B. 4.5 years
  • C. 5 years
  • D. 5.5 years

Solution

C

Exercise 4

The length of time to brush one’s teeth is generally thought to be exponentially distributed with a mean of 3 4 3 4 size 12{ { {3} over {4} } } {} minutes. Find the probability that a randomly selected person brushes his/her teeth less than 3 4 3 4 size 12{ { {3} over {4} } } {} minutes.

  • A. 0.5
  • B. 3 4 3 4 size 12{ { {3} over {4} } } {}
  • C. 0.43
  • D. 0.63

Solution

D

Exercise 5

Which distribution accurately describes the following situation?

The chance that a teenage boy regularly gives his mother a kiss goodnight (and he should!!) is about 20%. Fourteen teenage boys are randomly surveyed.

X=X= size 12{X={}} {}the number of teenage boys that regularly give their mother a kiss goodnight

  • A. B ( 14 , 0 . 20 ) B ( 14 , 0 . 20 ) size 12{B \( "14",0 "." "20" \) } {}
  • B. N ( 2 . 8,2 . 24 ) N ( 2 . 8,2 . 24 ) size 12{N \( 2 "." 8,2 "." "24" \) } {}

Solution

A

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