The standard deviation for the number of heads that will be tossed is
Further Explanation:
The random variable X follows binomial distribution.
Here, n represents the total number of experiments and p denotes the probability of the event.
Apply central limit theorem.
The mean of the binomial distribution can be calculated as follows,
The standard deviation of binomial distribution can be calculated as follows,
Given:
Coin is tossed 72 times.
Explanation:
Consider X is the random variable that head will occur.
The probability of head occur is
The mean can be calculated as follows,
The standard deviation of the number of heads can be calculated as follows,
Hence, the standard deviation for the number of heads that will be tossed is
Learn more:
1. Learn more about normal distribution brainly.com/question/12698949
2. Learn more about standard normal distribution brainly.com/question/13006989
3. Learn more about confidence interval of mean brainly.com/question/12986589
Answer details:
Grade: College
Subject: Statistics
Chapter: Binomial Distribution
Keywords: coin, tossed 72 times, number of heads, binomial distribution, standard normal distribution, standard deviation, test, measure, probability, low score, mean, repeating, indicated, normal distribution, percentile, percentage, proportion, empirical rule.