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60% of people who purchase sports cars are men. a. if 10 sports car owners are randomly selected, find the probability that exactly 7 are men. b. what is the average and standard deviation?



Answer :

6  is the average and 1.5492 is  standard deviation.

What is standard deviation?

  • The variability in your dataset is measured by its standard deviation.
  • It reveals the average deviation between each result and the mean.
  • A low standard deviation denotes that values are grouped closely to the mean, while a large standard deviation denotes that values are often spread widely from the mean.

here this is binomial with parameter n=10 and p=0.6

 probability that exactly 7 are men. =P(X=7)=(10C7)*(0.6)7*(0.4)3 =0.2150

average =np=10*0.6 =6

standard deviation =√(np(1-p)) =sqrt(10*0.6*0.40)= 1.5492

Learn more about standard deviation

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