1. Let the random variable X be the weight of a box of Cheerios cereal. This variable has a Normal distribution ...

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1. Let the random variable X be the weight of a box of Cheerios cereal. This variable has a Normal distribution with mean = 18 ounces and standard deviation = 0.3 ounces.

a. Draw the Normal density curve for X, marking the mean and the 6 values that demonstrate the 68, 95, 99.7 rule.

b. What percent of the boxes have a weight between 17.4 and 18.6 ounces?

c. What percent of the boxes have a weight between 17.1 and 18.9 ounces?

d. What is the probability that a randomly selected box of Cheerios has a weight equal to 18.6 ounces?

e. What is the probability that a randomly selected box of Cheerios weighs below 17.1 ounces?

f. What is the probability that a randomly selected box of cheerios has a weight between 17.7 and 18 ounces?

    • 8 years ago
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    (b) z1 = (x1 – μ)/σ = (17.4 – 18)/0.3 = -2 and z2 = (x2 – μ)/σ = (18.6 – 18)/0.3 = 2 ...
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