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In: Statistics and Probability

The caffeine content of a cup of coffee in the cafeteria is a normally distributed random variable with μ = 130 mg and σ = 30 mg.

The caffeine content of a cup of coffee in the cafeteria is a normally distributed random variable with μ = 130 mg and σ = 30 mg.

    1. What is the probability that a randomly chosen cup of coffee will have more than 130 mg?
    2. Less than 100 mg?
    3. Between 90 mg and 150 mg?
    4. If the cup of coffee was the strongest 5% in caffeine content (hint: think about whether this would be above or below the mean), how many mgs of caffeine would it contain?
    5. If the cup of coffee was the weakest 10% in caffeine content (hint: think about whether this would be above or below the mean), how many mgs of caffeine would it contain?

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orchestra answered 2 years ago
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