Suppose that the commuting time on a particular train is uniformly distributed between 41 and 61 minutes. a. What is the probability that the commuting time will be less than 51 minutes? What is the probability that the commuting time will be between 45 and 54 minutes? c. What is the probability that the commuting time will be greater than 9 minutes? d. What are the mean and standard deviation of the commuting time? a. The probability that the commuting time will be less than 51 minutes is 0.5 (Type an integer or a decimal.) b. The probability that the commuting time will be between 45 and 54 minutes is 0.45 (Type an integer or a decimal.) c. The probability that the commuting time will be greater than 49 is 0.6 (Type an integer or a decimal.) d. The mean of the given uniform distribution is µ = (Type an integer or a decimal.)

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Suppose that the commuting time on a particular train is uniformly distributed between 41 and 61 minutes. a. What is the probability that the commuting time will be less than 51 minutes? b. What is the probability that the commuting time will be between 45 and 54 minutes?
c. What is the probability that the commuting time will be greater than 49 minutes? d. What are the mean and standard deviation of the commuting time?
a. The probability that the commuting time will be less than 51 minutes is 0.5
(Type an integer or a decimal.)
b. The probability that the commuting time will be between 45 and 54 minutes is 0.45.
(Type an integer or a decimal.)
c. The probability that the commuting time will be greater than 49 is 0.6
(Type an integer or a decimal.)
d. The mean of the given uniform distribution is µ =
(Type an integer or a decimal.)
C
Transcribed Image Text:Suppose that the commuting time on a particular train is uniformly distributed between 41 and 61 minutes. a. What is the probability that the commuting time will be less than 51 minutes? b. What is the probability that the commuting time will be between 45 and 54 minutes? c. What is the probability that the commuting time will be greater than 49 minutes? d. What are the mean and standard deviation of the commuting time? a. The probability that the commuting time will be less than 51 minutes is 0.5 (Type an integer or a decimal.) b. The probability that the commuting time will be between 45 and 54 minutes is 0.45. (Type an integer or a decimal.) c. The probability that the commuting time will be greater than 49 is 0.6 (Type an integer or a decimal.) d. The mean of the given uniform distribution is µ = (Type an integer or a decimal.) C
Expert Solution
Step 1: Introduce the given information

Here the given information is ,

Suppose that the commuting time on a particular train is uniformly distributed between 41 and 61 minutes.

ie,

Here the two parameters are:- 

a = minimum = 41 

And 

b = maximum= 61 

Using formula,

Mean = mufraction numerator a plus b over denominator 2 end fraction


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