Question

Trucks in a delivery fleet travel a mean of 110 miles per day with a standard...

Trucks in a delivery fleet travel a mean of 110 miles per day with a standard deviation of 18 miles per day. The mileage per day is distributed normally. Find the probability that a truck drives between 138 and 149mmiles in a day. Round your answer to four decimal places.

Homework Answers

Answer #1

Solution :

Given that ,

mean = = 110

standard deviation = = 18

P(138 < x < 149) = P((138 - 110)/ 18) < (x - ) /  < (149 - 110) / 18) )

= P(1.56 < z < 2.17)

= P(z < 2.17) - P(z < 1.56)

= 0.9850 - 0.9406 Using standard normal table,  

Probability = 0.0444

The probability that a truck drives between 138 and 149 mmiles in a day is 0.0444.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Trucks in a delivery fleet travel a mean of 110 miles per day with a standard...
Trucks in a delivery fleet travel a mean of 110 miles per day with a standard deviation of 26 miles per day. The mileage per day is distributed normally. Find the probability that a truck drives between 63 and 125 miles in a day. Round your answer to four decimal places.
Trucks in a delivery fleet travel a mean of 100 miles per day with a standard...
Trucks in a delivery fleet travel a mean of 100 miles per day with a standard deviation of 38 miles per day. The mileage per day is distributed normally. Find the probability that a truck drives at least 141 miles in a day. Round your answer to four decimal places.
Trucks in a delivery fleet travel a mean of 120 120 miles per day with a...
Trucks in a delivery fleet travel a mean of 120 120 miles per day with a standard deviation of 19 19 miles per day. The mileage per day is distributed normally. Find the probability that a truck drives between 133 133 and 146 146 miles in a day. Round your answer to four decimal places.
Trucks in a delivery fleet travel a mean of 120miles per day with a standard deviation...
Trucks in a delivery fleet travel a mean of 120miles per day with a standard deviation of 10miles per day. The mileage per day is distributed normally. Find the probability that a truck drives between 106and 130 miles in a day. Round your answer to four decimal places.
Assume that gas mileage for cars is normally distributed with a mean of 23.5 miles per...
Assume that gas mileage for cars is normally distributed with a mean of 23.5 miles per gallon and a standard deviation of 10 miles per gallon. Show all work. Just the answer, without supporting work, will receive no credit. (a) What is the probability that a randomly selected car gets between 15 and 30 miles per gallon? (Round the answer to 4 decimal places) (b) Find the 75th percentile of the gas mileage distribution. (Round the answer to 2 decimal...
A trucking company determined that the distance traveled per truck per year is normally​ distributed, with...
A trucking company determined that the distance traveled per truck per year is normally​ distributed, with a mean of 70 thousand miles and a standard deviation of 11 thousand miles. a. What proportion of trucks can be expected to travel between 55 and 70 thousand miles in a​ year? The proportion of trucks that can be expected to travel between 55 and 70 thousand miles in a year is 0.4131 ​(Round to four decimal places as​ needed.) b. What percentage...
A trucking company determined that the distance traveled per truck per year is normally​ distributed, with...
A trucking company determined that the distance traveled per truck per year is normally​ distributed, with a mean of 50 thousand miles and a standard deviation of 10 thousand miles. Complete parts​ (a) through​ (b) below. a. What proportion of trucks can be expected to travel between 37 and 50 thousand miles in a​ year? The proportion of trucks that can be expected to travel between 37 and 50 thousand miles in a year is__. ​(Round to four decimal places...
A trucking company determined that the distance traveled per truck per year is normally​ distributed, with...
A trucking company determined that the distance traveled per truck per year is normally​ distributed, with a mean of 50 thousand miles and a standard deviation of 10 thousand miles. Complete parts​ (a) through​ (b) below. a. What proportion of trucks can be expected to travel between 37 and 50 thousand miles in a​ year? The proportion of trucks that can be expected to travel between 37 and 50 thousand miles in a year is__. ​(Round to four decimal places...
A trucking company determined that the distance traveled per truck per year is normally? distributed, with...
A trucking company determined that the distance traveled per truck per year is normally? distributed, with a mean of 50 thousand miles and a standard deviation of 10 thousand miles. Complete parts? (a) through? (c) below. A. What proportion of trucks can be expected to travel between 37 and 50 thousand miles in a? year? The proportion of trucks that can be expected to travel between 37 and 50 thousand miles in a year is (Round to four decimal places...
A trucking company determined that the distance traveled per truck per year is normally​ distributed, with...
A trucking company determined that the distance traveled per truck per year is normally​ distributed, with a mean of 70 thousand miles and a standard deviation of 11 thousand miles. a. What proportion of trucks can be expected to travel between 55 and 70 thousand miles in a​ year? The proportion of trucks that can be expected to travel between 55 and 70 thousand miles in a year is 0.4131 ​(Round to four decimal places as​ needed.) b. What percentage...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT