A binomial distribution has p = 0.05 and n = 50. what is the mean of this distribution?
a. 2.5
b. 0.05
c. 0.50
d. 2.375

Respuesta :

2.5 is the mean of this distribution.

What is the distribution's mean?

  • The expected value, commonly known as the mean of a statistical distribution with a continuous random variable, is calculated by integrating the product of the variable's probability as described by the distribution.
  • The lowercase Greek letter mu () stands for the expected value. A probability of 50% equals zero standard deviations, and the mean is in the middle of the normal distribution.

Given: p = 0.05 and n= 50

Mean of the binomial distribution = n×p = 50 × 0.05 = 2.5

Therefore, option a is the correct answer. Other options are incorrect because these are irrelevant.

Learn more about  binomial distribution

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