First, decide whether the distribution is a discrete probability distribution, then select the reason for making this decision.


Decide: Yes or no?

Reasons:
a) Since the probabilities lie inclusively between 0 and 1 and the sum of the probabilities is equal to 1

b) Since at least one of the probability values is greater than 1 or less than 0

c) Since the sum of the probabilities is not equal to 1

d) Since the sum of the probabilities is equal to 1

e) Since the probabilities is lies inclusively between 0 and 1

The weibull distribution is widely used in statistical problems relating to aging of solid insulating materials subjected to aging and stress. use this distribution as a model for time (in hours) to failure of solid insulating specimens subjected to ac voltage. the values of the parameters depend on the voltage and temperature; suppose α = 2.5 and β = 190. (a) what is the probability that a specimen's lifetime is at most 250? less than 250? more than 300? (round your answers to four decimal places.) at most 250 less than 250 more than 300 (b) what is the probability that a specimen's lifetime is between 100 and 250? (round your answer to four decimal places.) (c) what value is such that exactly 50% of all specimens have lifetimes exceeding that value? (round your answer to three decimal places.) hr