Mathematics: Elena has 20 apples and 35 crackers for making snack bags she wants to make as many snack bags as possible and wants each bag to have the same combination of apples and crackers what is the largest number of snackbags you can make

Step-by-step explanation:There are 10 chocolate bars in the box, 6 of them are milk chocolate bars. So the probability of chosing milk chocolate bar is and the probability of chosing not milk chocolate bar is Chosing 4 chocolate bars, you can choose 0, 1, 2, 3, 4 milk chocolate bars. Find probabilities:So, a probability distribution table is...

Elena has 20 apples and 35 crackers for making - id2035634000, zalayjahan4793

Ответ:

MadDaddy95

23.08.2020

Mathematics

$\begin{array}{cccccc}\text{Number of milk chocolate bars}&0&1&2&3&4\\ \\\text{Probabilities}&0.0256&0.1536&0.3456&0.3456&0.1296\end{array}$

Step-by-step explanation:

There are 10 chocolate bars in the box, 6 of them are milk chocolate bars. So the probability of chosing milk chocolate bar is $p=\frac{6}{10}=0.6$ and the probability of chosing not milk chocolate bar is $q=\frac{10-6}{10}=0.4.$

Chosing 4 chocolate bars, you can choose 0, 1, 2, 3, 4 milk chocolate bars. Find probabilities:

$P(\text{Number of milk chocolate bars}=0)=C^{4}_0p^0q^4=1\cdot 0.6^0\cdot 0.4^4=0.4^4=0.0256$

$P(\text{Number of milk chocolate bars}=1)=C^{4}_1p^1q^3=4\cdot 0.6^1\cdot 0.4^3=4\cdot 0.6\cdot 0.064=0.1536$

$P(\text{Number of milk chocolate bars}=2)=C^{4}_2p^2q^2=6\cdot 0.6^2\cdot 0.4^2=6\cdot 0.36\cdot 0.16=0.3456$

$P(\text{Number of milk chocolate bars}=3)=C^{4}_3p^3q^1=4\cdot 0.6^3\cdot 0.4^1=4\cdot 0.216\cdot 0.4=0.3456$

$P(\text{Number of milk chocolate bars}=4)=C^{4}_4p^4q^0=1\cdot 0.6^4\cdot 0.4^0=1\cdot 0.1296\cdot 1=0.1296$

So, a probability distribution table is

$\begin{array}{cccccc}\text{Number of milk chocolate bars}&0&1&2&3&4\\ \\\text{Probabilities}&0.0256&0.1536&0.3456&0.3456&0.1296\end{array}$

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Elena has 20 apples and 35 crackers for making snack bags she wants to make as many snack bags as possible and wants each bag to have the same combination of apples and crackers what is the largest number of snackbags you can make

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