Assuming a binomial experiment with p = 0.5 and a sample size of 100. The expected value of this distribution is?
Question
Assuming a binomial experiment with p = 0.5 and a sample size of 100. The expected value of this distribution is?
Solution
The expected value (mean) of a binomial distribution is calculated using the formula:
E(X) = np
where:
- n is the number of trials (sample size)
- p is the probability of success on each trial
In this case, n = 100 and p = 0.5. Substituting these values into the formula gives:
E(X) = 100 * 0.5 = 50
So, the expected value of this distribution is 50.
Similar Questions
Assume that you have a binomial experiment with p = 0.5 and a sample size of 100. The expected value of this distribution isQuestion 6Select one:a.24b.20c.0.5d.50
Consider a binomial experiment with 5 trials and p=0.4.a. Compute the probability of 1 success, f(1).b. Compute f(0).c. Compute f(2).d. Find the probability of at least one success.e. Find the expected value, variance, and standard deviation
Assume that you have a binomial experiment with p = 0.4 and a sample size of 50. The variance of this distribution isQuestion 8Select one:a.1.44b.144c.12d.20
What is the value of the p parameter of the binomial random variable X?
Consider a binomial experiment with 5 trials and p=0.4.a. Compute the probability of 1 success, f(1)
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.