A student is selected at random from a group of 400. The results are summarized in the two-way table below.### Table:| | Male | Female | Total ||--------------|------|--------|-------|| **Business** | 150 | 130 | 280 || **Math** | 70 | 50 | 120 || **Total** | 220 | 180 | 400 |### Questions:a) What is the probability a student selected at random is female **and** a business owner? Express as a percent rounded to 1 decimal.b) What is the probability that a student selected at random is a math student **or** male? Express as a percent rounded to 1 decimal.c) What is the probability that a student selected at random is female **given** that she is a business major? Express as a percent rounded to 1 decimal.### Explanation of Table:- The table is a two-way grid showing the distribution of students across two categories: **Program** (Business, Math) and **Gender** (Male, Female).- The columns represent the gender distribution, and the rows represent the program distribution.- Each cell contains the number of students corresponding to a specific program and gender.- The totals indicate the sum of students in each category.To solve the probability questions, use the data from the table to calculate the required probabilities and express them in percentage form.

MaleFemaleTotalBusiness150130280Math70050120Total220180400

Answered: A student is selected at random from 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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A committee of 4 is being formed randomly from the employees at a school: 6 administrators, 38 teachers, and 5 staff. What is the probability that all 4 members are administrators? Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.
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