Mathematics: The number of calories in peanut m& ms have an approximately normal distribution with mean 10 calories per m& m and variance 4. what percentage of peanut m& ms are more than 15 calories

incorrect because the square area would be 440Step-by-step explanation:...

The number of calories in peanut m& ms have an

Kjcampbell2

13.03.2022

0.62%

Step-by-step explanation:

Given : The number of calories in peanut M&Ms have an approximately normal distribution with

$\mu=10\text{ calories per }M\&M$

Standard deviation : $\sigma=\sqrt{\text{Variance}}=\sqrt{4}=2$

Let x be the amount of calories in a randomly selected peanut M&Ms.

Z-score : $\dfrac{x-\mu}{\sigma}$

$z=\dfrac{15-10}{2}=2.5$

The probability that the peanut M&Ms are more than 15 calories using standardized normal distribution table :

P(x15)=P(z2.5)=1-P(z

In percent , $0.62097\%\approx0.62\%$

Hence, the percentage of peanut M&Ms are more than 15 calories is 0.62%.

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