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Sergio [31]
2 years ago
5

2. Afton made a chicken dish for dinner. Sheadded a 10-ounce package of vegetablesand a 14-ounce package of rice to 40 ouncesof

chicken. What was the total weight of thechicken dish in pounds?

Mathematics
1 answer:
Bad White [126]2 years ago
4 0
First, we need to add up all the quantities in ounces. 10 + 14 + 40 = 64. One pound = 16 ounces. 64 / 16 = 4, so the total weight in pounds is 4 lbs.
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Answer:

a) X=number of heads observed when flipped the coin 3 times

b) the probability distribution is

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or

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Step-by-step explanation:

the random variable will be X=number of heads observed when flipped the coin 3 times . Since the result from each flip is independent of the others , then X has a binomial probability distribution , such that

P(X=x)= n!/[(n-x)!*x!)*p^x * (1-p)^(n-x)

where

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p= probability of getting heads in a flip of the coin = 1/2 (assuming that the coin is fair)

therefore

P(X=x)= 3!/[(3-x)!*x!)*(1/2)^(3-x) * (1/2)^x = 3!/[(3-x)!*x!) * (1/2)³ = 3/4 * (1/[(3-x)!*x!)])

P(X=x)= 3/4 * (1/[(3-x)!*x!)])   , for x=[0,1,2,3]

for x=0 and x=3 → P(X)=3/4 * (1/[3!*0!)]) = 1/8

for x=1 and x=2 → P(X)=3/4 * (1/[2!*1!)]) = 3/8

we can verify that is correct since the sum of all the probabilities from x=0 to x=3 is  1/8 +  3/8+ 3/8+ 1/8 = 1

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2 years ago
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Answer:

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