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

It seems like I can’t do more advanced data analysis right now. Please try again later.

However, I can explain the steps to calculate the answer. Here’s how you can proceed for question 2:

For the second question:

  • The probability of getting the flu is the complement of the probability of not getting the flu.
  • If the probability of not getting the flu is 0.24, the probability of getting the flu would be:

P(getting flu)=1−P(not getting flu)=1−0.24=0.76P(\text{{getting flu}}) = 1 - P(\text{{not getting flu}}) = 1 - 0.24 = 0.76

Now, here’s how to approach the remaining questions manually.

Would you like help with the remaining questions or further clarifications?

5 Related Questions:

  1. How many ways can you arrange 6 people instead of 5?
  2. If you know the probability of getting the flu is 0.12, what is the probability of not getting the flu?
  3. How would the calculation change if 100 students enrolled in both courses and 40 got A’s in each course?
  4. How many unique codes are possible if digits can be repeated?
  5. What if you used 4 digits instead of 3 for the code?

Tip:

For probability questions, always remember that the complement rule is often a quick way to find what you're looking for when dealing with "not" events.

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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

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