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According to a survey, 15% of city workers take the bus to work. donatella randomly surveys 10 workers. what is the probability that exactly 6 workers take the bus to work? round the answer to the nearest thousandth.

Respuesta :

MrRoyal

The probability that exactly 6 workers take the bus to work is 0.001

How to determine the probability?

The given parameters are:

  • Sample size, n = 10
  • Required sample = exactly 6
  • Probability of success, p = 15%

The probability that exactly 6 workers take the bus to work is calculated using the following binomial expression

[tex]P(x) = ^nC_x * p^x * (1 - p)^{n - x{[/tex]

So, we have:

[tex]P(6) = ^{10}C_6 * (15\%)^6 * (1 - 15\%)^4[/tex]

Evaluate the expression

P(6) = 0.001

Hence, the probability that exactly 6 workers take the bus to work is 0.001

Read more about probability at:

https://brainly.com/question/251701

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