Question 1183455: Norman is a student at college in Durban. The amount of time, in minutes, that Norman walks to the college for his final examinations is constantly distributed between 15 to 40 minutes, inclusive. Use this information to answer the following questions.
(a) Name the continuous probability distribution described above. Explain in detail why it is called the distribution of little information
(b) Calculate the probability that the student will take between 28 and 38 minutes. Provide interpretation for your answer
(C) Find the probability that the student will take no more than 30 minutes to arrive at the college. Provide interpretation for your answer
(d) Compute the probability that Norman will take least 35 minutes to get to the college. Provide interpretation for your answer
(e) Calculate the mean, variance and the standard deviation of the distribution described in 3.2
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! a. This is a uniform distribution and within the limits of the distribution every time has the same probability as every other time.
b. This is a 10 minute "window" and the whole distribution is 25 minutes, so the probability is 10/25 or 0.4.
c. No more than 30 minutes is 30-15 or 15 minutes in numerator divided by 25 minutes in the denominator, or probability 0.6.
d. At least 35 minutes is 5 minutes/25 minutes or 0.2.
e. Mean is (b+a)/2= 27.5 minutes
variance is (b-a)^2/12 or 625/12 or 52.0833 min^2.
sd is sqrt (V)=7.22 min.
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