Math Problem Statement

How many ways can you arrange five people standing in line?

Add your answer Integer, decimal or E notation allowed

Question 2 2 Points Suppose you know the probability of not getting the flu is 0.24. Find the probability of getting the flu. (2 decimals)

Add your answer Integer, decimal or E notation allowed

Question 3 4 Points Last semester, 250 students enrolled in both STK and BAM. Of these students 38 earned an A in STK, 50 earned an A in BAM and 20 earned an A in both STK and BAM.

  1. Find the probability a randomly chosen student earned an A in STK or BAM or both, P(STK or BAM)=Blank 1 (3 decimals)

  2. Find the probability a randomly chosen student did not earn an A in STK, P(S T K to the power of c)=Blank 2 (3 decimals)

Blank 1 Add your answer Blank 2 Add your answer Question 4 2 Points The digits 0, 1, 2, 3, 4, 5, and 6 are used to make 3 digit codes. How many unique codes are possible if digits cannot be repeated?

Add your answer Integer, decimal or E notation allowed

Details & Information Assessment due date 16/09/2024, 16:00 (UTC+2) You can't make a new submission attempt after due date. Time limit 15 minutes Automatic submission Attempts 1 attempt left1 submitted Grading Maximum points 10 points

Solution

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Math Problem Analysis

Mathematical Concepts

Permutations
Probability
Set Theory
Combinatorics

Formulas

Permutations formula: n! = n × (n - 1) × ... × 1
Complement rule: P(A') = 1 - P(A)
Union of two sets: P(A or B) = P(A) + P(B) - P(A and B)
Combination formula: nPr = n! / (n - r)!

Theorems

Fundamental Counting Principle
Complement Rule in Probability
Inclusion-Exclusion Principle

Suitable Grade Level

Grades 9-12