A trucking company determined that the distance traveled per truck per year is normally distributed, with a mean of 30 thousand miles and a standard deviation of 11 thousand miles. Complete parts (a) through (d) below. a. What proportion of trucks can be expected to travel between 15 and 30 thousand miles in a year? The proportion of trucks that can be expected to travel between 15 and 30 thousand miles in a year is 0.4137 . (Round to four decimal places as needed.) b. What percentage of trucks can be expected to travel either less than 20 or more than 50 thousand miles in a year? The percentage of trucks that can be expected to travel either less than 20 or more than 50 thousand miles in a year is 22 %. (Round to two decimal places as needed.) c. How many miles will be traveled by at least 75% of the trucks? The number of miles that will be traveled by at least 75% of the trucks is (Round to the nearest mile as needed.) miles.

MATLAB: An Introduction with Applications
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**Normal Distribution Analysis for Truck Travel Distance**

A trucking company determined that the distance traveled per truck per year is normally distributed, with a mean of 30 thousand miles and a standard deviation of 11 thousand miles. Complete parts (a) through (d) below.

**a. What proportion of trucks can be expected to travel between 15 and 30 thousand miles in a year?**

The proportion of trucks that can be expected to travel between 15 and 30 thousand miles in a year is **0.4137**.
*(Round to four decimal places as needed.)*

**b. What percentage of trucks can be expected to travel either less than 20 or more than 50 thousand miles in a year?**

The percentage of trucks that can be expected to travel either less than 20 or more than 50 thousand miles in a year is **22%**.
*(Round to two decimal places as needed.)*

**c. How many miles will be traveled by at least 75% of the trucks?**

The number of miles that will be traveled by at least 75% of the trucks is [_____] miles.
*(Round to the nearest mile as needed.)*

(Note: The placeholder box is used for input where the final number should be calculated or provided.)
Transcribed Image Text:**Normal Distribution Analysis for Truck Travel Distance** A trucking company determined that the distance traveled per truck per year is normally distributed, with a mean of 30 thousand miles and a standard deviation of 11 thousand miles. Complete parts (a) through (d) below. **a. What proportion of trucks can be expected to travel between 15 and 30 thousand miles in a year?** The proportion of trucks that can be expected to travel between 15 and 30 thousand miles in a year is **0.4137**. *(Round to four decimal places as needed.)* **b. What percentage of trucks can be expected to travel either less than 20 or more than 50 thousand miles in a year?** The percentage of trucks that can be expected to travel either less than 20 or more than 50 thousand miles in a year is **22%**. *(Round to two decimal places as needed.)* **c. How many miles will be traveled by at least 75% of the trucks?** The number of miles that will be traveled by at least 75% of the trucks is [_____] miles. *(Round to the nearest mile as needed.)* (Note: The placeholder box is used for input where the final number should be calculated or provided.)
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