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Which of the following is a property of binomial distributions?There are exactly four possible outcomes for each trial.The variable of interest is the total number of successes or failures for a given number of observations.The expected value is equal to the number of successes in the experiment.All of the observations made are dependent on each other

Question

Which of the following is a property of binomial distributions?There are exactly four possible outcomes for each trial.The variable of interest is the total number of successes or failures for a given number of observations.The expected value is equal to the number of successes in the experiment.All of the observations made are dependent on each other

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Solution

The property of binomial distributions from the options given is: "The variable of interest is the total number of successes or failures for a given number of observations."

Here's why:

  1. "There are exactly four possible outcomes for each trial." - This is incorrect. In a binomial distribution, there are exactly two possible outcomes for each trial (success or failure).

  2. "The variable of interest is the total number of successes or failures for a given number of observations." - This is correct. In a binomial distribution, we are interested in the number of successes in a fixed number of trials.

  3. "The expected value is equal to the number of successes in the experiment." - This is incorrect. The expected value (mean) of a binomial distribution is np, where n is the number of trials and p is the probability of success on each trial.

  4. "All of the observations made are dependent on each other." - This is incorrect. In a binomial distribution, the trials are independent, meaning the outcome of one trial does not affect the outcome of another trial.

This problem has been solved

Similar Questions

Which of the following is not a property of a binomial experiment?a.The experiment is repeated a fixed number of times say n.b.There are three or more possible outcomes for each trail.c.The probability of success denoted by p, remains constant for all trails.d.The successive trails are all independent.

In a binomial distribution, which of the following is true?a.The number of trials is fixed.b.The probability of success is fixed for each trial.c.The trials are independent.d.All of the above.

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

A binomial experiment with probability of success =p0.77 and =n6 trials is conducted. What is the probability that the experiment results in 4 or more successes?

Which of the following is NOT an example of a binomial distribution?a.)The probability of flipping a coin four times and never landing on tails.b.)The probability of rolling a die eight times and getting an odd number or a prime number four times.c.)The probability of a basketball player making a free throw seven times in ten attempts.d.)The probability of a dart player missing the bullseye seven times in eight attempts.

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