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Consider the probability that fewer than 26 out of 107 cell phone calls will not be disconnected. Assume the probability that a given cell phone call will not be disconnected is 25%.
Specify whether the normal curve can be used as an approximation to the binomial probability by verifying the necessary conditions.
Yes or no
please explain in detail how to do these

Respuesta :

Since both np > 5 and n(1 - p) > 5, the normal curve can be used as an approximation to the binomial distribution.

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 normal approximation can be used if:

  • np > 5.
  • n(1 - p) > 5.

In this problem, the parameters are:

n = 107, p = 0.25.

Hence:

  • np = 107 x 0.25 = 26.75.
  • n(1 - p) = 107 x 0.75 = 80.25.

More can be learned about the binomial distribution at https://brainly.com/question/24863377

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