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Let X be a binomial random variable with n= 100 and p =0.3. Which
the following is FALSE?
A)X counts the number of success out of the 100 trials.
B)The probability of success for every trial is 0.3.
C)The most probable number of successes is 40.
D)The total number of possible outcomes is 101.
E)The probability histogram for X is skewed to the right.

Respuesta :

The false statement regarding the binomial distribution is:

C) The most probable number of successes is 40.

What is the binomial probability distribution?

It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.

The binomial variable counts the number of successes out of the n trials.

The total number of outcomes is n + 1.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

It is different of the most probable number of successes.

Regarding the skewness of the histogram, we have that:

  • p < 0.5: To the right.
  • p > 0.5: To the left.

In this problem, we have that n = 100 and p = 0.3, hence the only false statement is option c.

You can learn more about the binomial distribution at https://brainly.com/question/24863377

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