A distribution of values is normal with a mean of 61.9 and a standard deviation of 59.3. Find the probability that a randomly selected value is less than 162.7. Shade: Left of a value Click and drag the arrows to adjust the values. 3. 4 -3 -2 T -1 -4 -1.5

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
icon
Concept explainers
Topic Video
Question
**Problem Statement:**

A distribution of values is normal with a mean of 61.9 and a standard deviation of 59.3. 

Find the probability that a randomly selected value is less than 162.7.

**Instructions:**

Shade: Left of a value. Click and drag the arrows to adjust the values.

**Diagram Explanation:**

The diagram shows a standard normal distribution curve. The x-axis is marked with standard deviations from -4 to 4. A portion of the curve to the left of the value -1.5 is shaded in blue, indicating the area for which the probability needs to be calculated.

**Equation:**

\[ P(x < 162.7) = P(z < \_\_\_\_ ) = \_\_\_\_ \]

**Answer Submission:**

Enter your answer as a number accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.

**Action Button:**

Submit Question
Transcribed Image Text:**Problem Statement:** A distribution of values is normal with a mean of 61.9 and a standard deviation of 59.3. Find the probability that a randomly selected value is less than 162.7. **Instructions:** Shade: Left of a value. Click and drag the arrows to adjust the values. **Diagram Explanation:** The diagram shows a standard normal distribution curve. The x-axis is marked with standard deviations from -4 to 4. A portion of the curve to the left of the value -1.5 is shaded in blue, indicating the area for which the probability needs to be calculated. **Equation:** \[ P(x < 162.7) = P(z < \_\_\_\_ ) = \_\_\_\_ \] **Answer Submission:** Enter your answer as a number accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted. **Action Button:** Submit Question
Expert Solution
Step 1: Given in question

Mean = 61.9

Standard deviation = 59.3

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Centre, Spread, and Shape of a Distribution
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman