Answered: ducted at Santa School shows that 70%…

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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Question

A study conducted at Santa School shows that 70% of the School's graduates find a job as a Santa within one year of graduation. Find the probability that among 10 randomly selected graduates, at least 1 find a job as a Santa within one year of graduation.
(Show all decimals. Do not round.)

P(x at least one) =

Expert Solution

Step 1

Given:
Probability (find a job as a Santa within one year of graduation) = 70% =0.70
Sample size (n) =10

This is the case of the binomial distribution, as there are two possible outcomes with a fixed number of trails.

The full binomial probability formula is $P (X) = \frac{n!}{X! (n - X)!} \cdot p^{X} \cdot (1 - p)^{n - X}$

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