Ask Question
19 June, 12:10

A standard die is rolled 360 times in hopes of rolling a 5 or 6. So the probability of success is p=1/3. Find the standard deviation of the binomial distribution.

8.9

80.0

119.9

0.2

+2
Answers (1)
  1. 19 June, 15:51
    0
    Answer: option 1 is the correct answer

    Step-by-step explanation:

    Number of times for which the die was rolled is 360. It means that our sample size, n is 360.

    The probability of rolling a 5 or a 6 is 1/3. It means that probability of success, p = 1/3. The probability of failure, q is

    1 - probability of success. It becomes

    1 - 1/3 = 2/3

    The formula for standard deviation is expressed as

    √npq. Therefore

    Standard deviation = √360 * 1/3 * 2/3

    = √80 = 8.9443

    Standard deviation is approximately 8.9
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “A standard die is rolled 360 times in hopes of rolling a 5 or 6. So the probability of success is p=1/3. Find the standard deviation of the ...” 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