The mean gas mileage for a hybrid car is 57 miles per gallon. Suppose that the gasoline mileage is approximately normally distributed with a standard deviation of 3.5 miles per gallon. (a) What proportion of hybrids gets over 61 miles per gallon? (b) What proportion of hybrids gets 53 miles per gallon or less? (c) What proportion of hybrids gets between 59 and 62 miles per gallon? (d) What is the probability that a randomly selected hybrid gets less than 45 miles per gallon? E Click the icon to view a table areas under the normal curve. (a) The proportion of hybrids that gets over 61 miles per gallon is. (Round to four decimal places as needed.) (b) The proportion of hybrids that gets 53 miles per gallon or less is (Round to four decimal places as needed.) (c) The proportion of hybrids that gets between 59 and 62 miles per gallon is. (Round to four decimal places as needed.) (d) The probability that a randomly selected hybrid gets less than 45 miles per gallon is (Round to four decimal places as needed.)
The mean gas mileage for a hybrid car is 57 miles per gallon. Suppose that the gasoline mileage is approximately normally distributed with a standard deviation of 3.5 miles per gallon. (a) What proportion of hybrids gets over 61 miles per gallon? (b) What proportion of hybrids gets 53 miles per gallon or less? (c) What proportion of hybrids gets between 59 and 62 miles per gallon? (d) What is the probability that a randomly selected hybrid gets less than 45 miles per gallon? E Click the icon to view a table areas under the normal curve. (a) The proportion of hybrids that gets over 61 miles per gallon is. (Round to four decimal places as needed.) (b) The proportion of hybrids that gets 53 miles per gallon or less is (Round to four decimal places as needed.) (c) The proportion of hybrids that gets between 59 and 62 miles per gallon is. (Round to four decimal places as needed.) (d) The probability that a randomly selected hybrid gets less than 45 miles per gallon is (Round to four decimal places as needed.)
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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![The mean gas mileage for a hybrid car is 57 miles per gallon. Suppose that the gasoline mileage is approximately normally distributed with a standard deviation of 3.5 miles per gallon.
(a) What proportion of hybrids gets over 61 miles per gallon?
(Round to four decimal places as needed.)
(b) What proportion of hybrids gets 53 miles per gallon or less?
(Round to four decimal places as needed.)
(c) What proportion of hybrids gets between 59 and 62 miles per gallon?
(Round to four decimal places as needed.)
(d) What is the probability that a randomly selected hybrid gets less than 45 miles per gallon?
(Round to four decimal places as needed.)
Click the icon to view a table of areas under the normal curve.
[Input boxes for answers are provided next to each question.]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F314336d9-9cd2-4a69-ac2b-dc8a3c81cf54%2Fa9c10368-e508-4900-9822-5a8a9bf9c2e9%2F5uu0tm_processed.png&w=3840&q=75)
Transcribed Image Text:The mean gas mileage for a hybrid car is 57 miles per gallon. Suppose that the gasoline mileage is approximately normally distributed with a standard deviation of 3.5 miles per gallon.
(a) What proportion of hybrids gets over 61 miles per gallon?
(Round to four decimal places as needed.)
(b) What proportion of hybrids gets 53 miles per gallon or less?
(Round to four decimal places as needed.)
(c) What proportion of hybrids gets between 59 and 62 miles per gallon?
(Round to four decimal places as needed.)
(d) What is the probability that a randomly selected hybrid gets less than 45 miles per gallon?
(Round to four decimal places as needed.)
Click the icon to view a table of areas under the normal curve.
[Input boxes for answers are provided next to each question.]
Transcribed Image Text:# Standard Normal Distribution Table and Curve
## Introduction
The table below represents the standard normal distribution, commonly used in statistics to find probabilities related to the normal distribution. The table provides cumulative probabilities associated with the standard normal distribution, which has a mean of 0 and a standard deviation of 1.
## Table V: Standard Normal Distribution
### Column Descriptions
- **z**: Represents z-scores, which measure the number of standard deviations an element is from the mean.
- **.00 to .09**: Indicates the hundredths place of the z-score.
### Table Explanation
- **Entries**: Each cell in the table corresponds to the probability that a standard normal random variable is less than or equal to the specified z-score.
- **Organization**:
- Row labels indicate the integer and first decimal place of the z-score (e.g., -3.4, -3.3, -3.2, etc.).
- Column headers (.00 - .09) represent the second decimal place.
### Graphical Representation
- **Curve**: The image includes a bell-shaped curve, representative of the standard normal distribution.
- **Area**: The shaded region under the curve corresponds to the cumulative probability up to z, demonstrating the area under the curve to the left of a specified z-score.
## Example Usage
- To find the probability that a z-score is less than -1.5, locate the row for -1.5 and column .00, yielding a probability of 0.0668.
- For a z-score of 0.3, find the intersection of row 0.3 and column .00, which is 0.6179.
This table is essential for performing statistical analyses involving normal distributions, such as hypothesis testing and constructing confidence intervals.
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