crystallovesgas1000 crystallovesgas1000
  • 02-01-2020
  • Mathematics
contestada

Provide an appropriate response. Find the variance of the binomial distribution for which n = 800 and p = 0. 87 a. 0.90 b. 0.48 c. 696 d. 32.54 e. 9.51

Respuesta :

joaobezerra joaobezerra
  • 03-01-2020

Answer:

e. 9.51

Step-by-step explanation:

The variance of n binomial probability trials, with p probability, is given by the following formula:

[tex]Var(X) = \sqrt{n*p*(1-p)}[/tex]

In this problem, we have that:

[tex]n = 800, p = 0.87[/tex]

So:

[tex]Var(X) = \sqrt{n*p*(1-p)} = \sqrt{800*0.87*0.13} = 9.51[/tex]

The correct answer is:

e. 9.51

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