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timofeeve [1]
3 years ago
12

32 percent of the customers of a fast food chain order the Whopper, French fries and a drink. A random sample of 10 cash registe

r receipts is selected. What is the probability that eight receipts will show that the above three food items were ordered?
Mathematics
1 answer:
weqwewe [10]3 years ago
8 0

Answer: 0.0023

Step-by-step explanation:

Let X be the binomial variable that represents the number of receipts will show that the above three food items were ordered.

probability of success p = 32% = 0.32

Sample size : n= 10

Binomial probability function :

P(X=x)= \ ^nC_xp^x(1-p)^{n-x}

Now, the probability that eight receipts will show that the above three food items were ordered :

P(X=8)=\ ^{10}C_8(0.32)^8(1-0.32)^2\\\\=\dfrac{10!}{8!2!}(0.32)^8(0.68)^2\\\\=5\times9(0.0000508414176684)\\\\=0.00228786379508\approx0.0023

hence, the required probability = 0.0023

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