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let x random variables that possesses a binomial distribution with p=0.7 and n=15 using the binomial of the distribution round solution to four decimal places

Respuesta :

It is given that the satisaction is 72% so p=0.72 and 5 people are chosen at random so n=5.

Part a:The probability distribution is given by:

Part b:The mean is given by:

[tex]\mu=np=0.72\times5=3.6[/tex]

Part c: The standard deviation is given by:

[tex]\sigma=\sqrt[]{npq}=\sqrt[]{5\times0.72\times0.28}=1.00399\approx1.004[/tex]

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