Mathematics: -8(4+7)=-88 SIMPLIFY __=-88 PLEASE HELP

-8(4+7)=-88 SIMPLIFY __=-88 PLEASE HELP - id847888810012103, baeethtsadia

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jesh0975556

03.11.2021

Mathematics

The probability that the weight of a candy randomly selected is more than 0.8537 is 0.7486

Step-by-step explanation:

The given parameters are;

The mean candle weight = 0.8552 g

The standard deviation = 0.0519 g

The number in the sample, n = 442 candles

By central limit theorem, the sample standard deviation, $\sigma _{\bar x}$ is given by the relationship;

$\sigma _{\bar x} = \dfrac{\sigma}{\sqrt{n} } = \dfrac{0.0519}{\sqrt{442} } = 0.002469$

The probability is given by the relation;

$P\left (\bar{X}0.8537 \right )= P\left (\dfrac{\bar{X}-\mu }{\dfrac{\sigma }{\sqrt{n}}} \dfrac{0.8537-\mu }{\dfrac{\sigma }{\sqrt{n}}} \right )$

$P\left (\bar{X}0.8537 \right )= P\left (\dfrac{\bar{X}-0.8552 }{\dfrac{\sigma }{\sqrt{n}}} \dfrac{0.8537-0.8552 }{\dfrac{0.0519 }{\sqrt{442}}} \right )$

$P\left (\bar{X}0.8537 \right )= P\left (z-0.6076\right )$

The from the z-score table we have = 0.2514

The probability of P (z > -6076) = 1 - 0.2514 = 0.7486

The probability that the weight of a candy randomly selected is more than 0.8537 = 0.7486.

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-8(4+7)=-88 SIMPLIFY __=-88 PLEASE HELP

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