normal probability

4. (18 points / 3 points each) Mileages for taxi rides from Penn Station to their destination are approximately normally distributed with a mean of µ = 4.3 miles and a standard deviation of σ = 1.2 miles.

a. Classify this problem by type using the letter choices:
A. binomial probability problem, C. normal probability problem about a single X,
B. uniform probability problem, D. normal probability problem about a
E. none of the above.


b. What is the probability that a taxi ride is greater than 6 miles?


c. What is the probability that a taxi ride is between 1 and 3 miles?


d. What is the expected length of any given taxi ride?


e. Find the taxi ride mileage that would represent the 80th percentile or P80.


e. If the longest 15% of taxi rides receive a discount, determine the mileage for which customers would receive the discount.

Quote:

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Originally Posted by stewardt

4. (18 points / 3 points each) Mileages for taxi rides from Penn Station to their destination are approximately normally distributed with a mean of µ = 4.3 miles and a standard deviation of σ = 1.2 miles.

a. Classify this problem by type using the letter choices:
A. binomial probability problem, C. normal probability problem about a single X,
B. uniform probability problem, D. normal probability problem about a
E. none of the above.

Mr F says: C!!


b. What is the probability that a taxi ride is greater than 6 miles?


c. What is the probability that a taxi ride is between 1 and 3 miles?


d. What is the expected length of any given taxi ride?


e. Find the taxi ride mileage that would represent the 80th percentile or P80.


e. If the longest 15% of taxi rides receive a discount, determine the mileage for which customers would receive the discount.

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These questions are done just like the other normal ones I showed you in your other question. Where are you stuck? What have you tried?

Quote:

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Originally Posted by mr fantastic

These questions are done just like the other normal ones I showed you in your other question. Where are you stuck? What have you tried?

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a)C
b).0783
c).1363
d)4.3
e)5.31
f)5.5

These are the answers I got

Quote:

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Originally Posted by stewardt

a)C
b).0783
c).1363
d)4.3
e)5.31
f)5.5

These are the answers I got

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They're all correct (within the accuracy you've rounded to).