**Understanding Binomial Distribution: A Practical Example**In this exercise, we explore a binomial distribution where a trial is repeated \( n = 5 \) times. Our goal is to calculate the probability distribution with a given probability \( p = 0.695 \) of success for each single trial.**Problem Statement:**Assume that a procedure yields a binomial distribution with five trials. Using technology or statistical software, determine the probability distribution for different outcomes, defined as \( k \), the number of successes in the trials.**Objective:**Calculate \( P(X = k) \) for \( k = 0, 1, 2, 3, 4, 5 \).**Instructions:**Report the probabilities accurate to four decimal places. Use appropriate tools like calculators or software to find these probabilities.**Table for Recording Probabilities:**\[\begin{array}{|c|c|}\hlinek & P(X = k) \\\hline0 & \\\hline1 & \\\hline2 & \\\hline3 & \\\hline4 & \\\hline5 & \\\hline\end{array}\]By completing this table, you will gain a deeper understanding of how probability distributions work within the context of binomial experiments. This exercise is an excellent application of theoretical statistics in practical scenarios.

Solution To find the probability we will use binomial distribution.

Answered: 5 times. Use some Assume that a…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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5 times. Use some Assume that a procedure yields a binomial distribution with a trial repeated n = form of technology to find the probability distribution given the probability p = 0.695 of success on a single trial. (Report answers accurate to 4 decimal places.) k P(X = k) 1 3 4