Question

- Assume that the commuting time on a particular train is uniformly distributed between 66 and...

- Assume that the commuting time on a particular train is uniformly distributed between 66 and 86 minutes.

a. State the formula for the probability distribution function of commuting time on a train.

b. What is the probability that the commuting time will be less than 80 minutes?

c. What is the probability that the commuting time will be between 74 and 82 minutes?

d. What is the probability that the commuting time will be greater than 83 minutes?

e. What is the mean and standard deviation of the commuting time?

Math   Statistics-And-Probability   
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Answer #1

Since it is given that commuting time on a particular train is uniformly distributed between 66 and 86 minutes.

Therefore here a = 66 and b= 86.

a. State the formula for the probability distribution function of commuting time on a train.

  

b. What is the probability that the commuting time will be less than 80 minutes?

c. What is the probability that the commuting time will be between 74 and 82 minutes?

d. What is the probability that the commuting time will be greater than 83 minutes?

e. What is the mean and standard deviation of the commuting time?

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