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zheka24 [161]
3 years ago
14

The number of potato chips in a bag is normally distributed with a mean of 74 and and a standard deviation of 4. Approximately w

hat percent of bags contain between 62 and86 potato chips?
Mathematics
2 answers:
aleksklad [387]3 years ago
7 0

Answer:

99.8%  is the percent of bags contain between 62 and 86 potato chips.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 74

Standard Deviation, σ = 4

We are given that the distribution of number of potato chips in a bag is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

P( bags contain between 62 and 86 potato chips)

P(62 \leq x \leq 86) = P(\displaystyle\frac{62 - 74}{4} \leq z \leq \displaystyle\frac{86-74}{4}) = P(-3 \leq z \leq 3)\\\\= P(z \leq 3) - P(z < -3)\\= 0.999 - 0.001 = 0.998 = 99.8\%

P(62 \leq x \leq 86) = 99.8\%

Lera25 [3.4K]3 years ago
5 0

Answer:

99.7%  is the percent of bags contain between 62 and 86 potato chips.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 74

Standard Deviation, σ = 4

We are given that the distribution of number of potato chips in a bag is a bell shaped distribution that is a normal distribution.

Formula:

P( bags contain between 62 and 86 potato chips)

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