Takealot orders in a certain area can either be delivered by Takealot or picked up by the customer at a pick-up point. Historically, 40% of the orders are delivered by Takealot. Given 8 orders, what is the probability that at least 3 of them will be picked up by the customers?
for binomial distribution:
"P(x=k)=C^k_np^k(1-p)^{n-k}"
we have:
"p=0.6,n=8"
then:
"P(x\\ge3)=1-P(x=0)-P(x=1)-P(x=2)"
"P(x=0)=0.0007"
"P(x=1)=0.0079"
"P(x=2)=0.0413"
"P(x\\ge3)=1-0.0007-0.0079-0.0413=0.9501"
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