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From experience, the manager of Kramer's Book Mart knows that 30% of the people who are browsing in the store will make a purchase. What is the probability that among ten people who are browsing in the store, at least seven will make a purchase?

Respuesta :

thaovtp1407

Answer:

Step-by-step explanation:

Given that:

  • prob of purchase = 0.3
  • prob of no purchase = 0.7

prob of at least 7 from 10 will make purchase

= prob(7will buy) + prob(8 will buy) + ..+ prob(10 will buy)

= C(10,7) [tex]0.3^{7}[/tex] [tex]0.7^{3}[/tex] + C(10,8) [tex]0.3^{8}[/tex] [tex]0.7^{2}[/tex] + C(10,9) [tex]0.3^{9} 0.7^{1}[/tex] + C(10,10)[tex]0.3^{10}[/tex]

= 0.0105

So the probability that among ten people who are browsing in the store, at least seven will make a purchase is: 0.0105

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