1)a. Which two lines represent the critical values?b. Which two lines bound 50% of the probability?c. What specific kind of distribution is this? The image above represents a standard normal distribution curve, which is a bell-shaped graph depicting the distribution of data. The horizontal axis represents z-scores, which indicate the number of standard deviations a data point is from the mean. The vertical axis represents the probability density.### Key Elements of the Graph:- **The Curve:** Symmetrical and centered at zero, indicating that the mean, median, and mode of the data are equal.- **Vertical Lines:** There are six vertical lines labeled A, B, C, D, E, and F, marking specific points on the curve: - **A:** Approximately at -2.5 - **B:** Near -1.5 - **C:** Slightly below -1 - **D and E:** Around 0 (center of the distribution) - **F:** Approximately at 2### Interpretation:- **A, B, C:** Represent negative z-scores, indicating data points below the mean.- **D, E:** At the center, indicating the mean of the distribution.- **F:** Represents a positive z-score, indicating a data point above the mean.### Applications:The normal distribution is frequently used in statistics to represent real-valued random variables with unknown distributions. It is fundamental in various fields such as psychology, business, and natural and social sciences for understanding and interpreting data.

Answered: A A BC DE F -2 -1 2 3

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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10. Consider the following probability distribution: ( 2 4. 0.5 0.3 0.2 a. Find P(X = 4). b. Find P(X < 2). Find the mean.
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According to Reader's Digest, 44% of primary care doctors think their patients receive unnecessary medical care. Use the z-table. a. Suppose a sample of 260 primary care doctors was taken. Show the sampling distribution of the proportion of the doctors who think their patients receive unnecessary medical care. E(p)= (to 2 decimals) (to 4 decimals) b. What is the probability that the sample proportion will be within ±0.03 of the population proportion? Round your answer to four decimals. c. What is the probability that the sample proportion will be within ±0.05 of the population proportion? Round your answer to four decimals. d. What would be the effect of taking a larger sample on the probabilities in parts (b) and (c)? Why? The probabilities would - Select your answer -increasedecreaseItem 5 . This is because the increase in the sample size makes the standard error, ,
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