Ask Question
25 April, 12:49

Suppose that a high school marching band has 86 members. Of these 86 band members, 26 are seniors, 17 play the trumpet, and 4 are seniors who play the trumpet. What is the probability that a randomly selected band member is a senior given that he or she plays the trumpet

+1
Answers (1)
  1. 25 April, 15:40
    0
    Answer: 0.3023

    Step-by-step explanation:

    86 band members

    26 are senior, 17 plays trumpet. If 4 are seniors and play trumpet, we solve this using the bayes theorem of conditional probability.

    Probability of choosing band member that plays trumpet = 17/86 = 2/43.

    Probability of choosing a senior that plays trumpet = 4/26

    Probability that a chosen member is a senior given that he plays trumpet = (2/43) / (4/26)

    = 0.3023.
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “Suppose that a high school marching band has 86 members. Of these 86 band members, 26 are seniors, 17 play the trumpet, and 4 are seniors ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers