**Problem Statement:**Assume the random variable \( X \) has a binomial distribution with the given probability of obtaining a success. Find the following probability, given the number of trials and the probability of obtaining a success. Round your answer to four decimal places.\[ P(X = 15), n = 17, p = 0.6 \]**Answer Section:***How to enter your answer (opens in new window)**There's an input box for entering the calculated probability value.***Support Resources:**- Tables- Keypad- Keyboard Shortcuts The image displays a **Standard Normal Distribution Table**. This table provides the cumulative probability (area) to the left of a specified Z-score in a standard normal distribution, which is useful for statistical calculations and hypothesis testing.### Understanding the Table:- **Columns and Rows:** - The table is divided into columns and rows. - The **rows** are labeled with Z-scores ranging from -3.9 to 0.0. - The **columns** represent the second decimal place of the Z-score, ranging from .00 to .09.- **Values:** - Each cell within the table provides the cumulative probability (area under the curve) to the left of the corresponding Z-score. For example, for a Z-score of -1.3 with the second decimal .08, which is highlighted in the table, the area is 0.08379.### Example Usage:- To find the cumulative probability for a Z-score of -1.35: - Locate the row for -1.3. - Move across to the column under .05. - The intersection gives an area of 0.08851, indicating that approximately 8.851% of the distribution lies to the left of a Z-score of -1.35.### Note:- The values in the table are used to determine probabilities and critical values in statistical analyses, such as z-tests and confidence intervals, allowing researchers to make inferences about data populations.

n=17p=0.6A random variable x~Binomial(n,p)P(X=x)=(nk)∗(p)x∗(1−p)n−x;x=0,1,...,nRequired probability is P(X=15)=(1715)∗(0.6)15∗(1−0.6)17−15==0.010231225260.0102P(X=15)=0.0102P(X=15)=0.0102

Answered: Assume the random variable X has a…

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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