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The number of calories in a 1.5-ounce chocolate bar is 225. Suppose that the distribution of calories is normally distributed with the standard deviation o = 10. a) What is the probability that a randomly selected chocolate bar will have between 200 and 220 calories? Show all your steps.

Hint use the z table and z score and formula Also use less than and grater sign correctly

b) What is the probability that a randomly selected chocolate bar will have less than 190 calories? Show all your steps.

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raphealnwobi raphealnwobi · Answer 1 · 2022-07-08T17:26:08+02:00

The probability that a randomly selected chocolate bar will have between 200 and 220 calories is 3.97%

An equation is an expression that shows the relationship between two or more variables and numbers.

The zscore is given a:

z = (raw score - mean) / standard deviation

mean = 225, standard deviation o = 10.

a) For x = 200:

z = (200 - 225) / 200 = -0.125

For x = 220:

z = (220 - 225) / 200 = -0.025

P(-0.125 < z < -0.025) = P(z < -0.025) - P(z < -0.125) = 0.4880 - 0.4483 = 3.97%

b) For x = 190:

z = (190 - 225) / 200 = -0.175

P(z < -0.025) = P(z < -0.175) = 0.4286

The probability that a randomly selected chocolate bar will have between 200 and 220 calories is 3.97%

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