The average salary of doctors in a certain region is $85,000 with a standard deviation of 10,000 . Assume that the salaries of doctors are normally distributed. Answer the following using this statement. 3. What is the probability of randomlychoosing a doctor whose salary is at least$65,000?Answer choices:4. What is the probability of randomlychoosing a doctor whose salary is between$75,000 and $95,000?Answer choices:0.0230.9750.986.0.0230.340.680.750.955. What is the probability of randomlychoosing a doctor whose salary is greaterthan or equal to $105,000?Answer choices:6. What is the probability of randomlychoosing a doctor whose salary is between$85,000 and $95,000?Answer choices:0.0250.0460.0580.9770.160.340.4750.4985

Given:Mean,μ=85000 and Std. dev,σ=10000The empirical rule of 68-95-99.7 states that 68% of the data…

Answered: 3. What is the probability of randomly…

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section11.4: Collecting Data

Problem 3E

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The average salary of doctors in a certain region is $85,000 with a standard deviation of 10,000 . Assume that the salaries of doctors are normally distributed. Answer the following using this statement.

3. What is the probability of randomly
choosing a doctor whose salary is at least
$65,000?
Answer choices:
4. What is the probability of randomly
choosing a doctor whose salary is between
$75,000 and $95,000?
Answer choices:
0.023
0.975
0.986.
0.023
0.34
0.68
0.75
0.95
5. What is the probability of randomly
choosing a doctor whose salary is greater
than or equal to $105,000?
Answer choices:
6. What is the probability of randomly
choosing a doctor whose salary is between
$85,000 and $95,000?
Answer choices:
0.025
0.046
0.058
0.977
0.16
0.34
0.475
0.4985

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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