Answer:
a) height of this uniform distribution = 1/8 = 0.125.
b) P( 4 < x < 5) = (5 - 4)*0.125 = 0.125
c) P( 3 < x < 8) = (8 - 3)*0.125 = 0.625
d) P(x = 0) = 0*0.125 = 0
Step-by-step explanation:
Height of this uniform distribution is same as finding the probability for each waiting minutes.
Height of uniform distribution = 1/n. Where n is the number of occurence, in this n = 8.
a) height of this uniform distribution = 1/8 = 0.125.
Let random variable x = waiting time.
b) probability of waiting between four and five minutes
P( 4 < x < 5) = (5 - 4)*0.125 = 0.125
c) probability of waiting between three and eight minutes
P( 3 < x < 8) = (8 - 3)*0.125 = 0.625
d) probability of waiting five minutes exactly.
Since this would be just one line, and the width of the line is 0, then the
P(x = 0) = 0*0.125 = 0
