SOLUTION: 1. In the table below, the random variable x represents the number of cups or cans of caffeinated beverages consumed by Americans each day based on data from the National Sleep Fou
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Question 560246: 1. In the table below, the random variable x represents the number of cups or cans of caffeinated beverages consumed by Americans each day based on data from the National Sleep Foundation.
X P(x)
0 0.22
1 0.16
2 0.21
3 0.16
Determine whether or not a probability distribution is given.
a. If a probability distribution is given, find its mean and standard deviation.
b. If a probability distribution is not given, identify the requirements that are not satisfied.
2. The final exam in a sociology course consists of 100 multiple-choice questions. Each question has five possible answers, and only one of them is correct. An unprepared student makes random guesses for all of the answers.
Find the mean and standard deviation for the number of correct answers for such students.
3. Mars, Inc. claims that 24% of its M&M plain candies are blue. A sample of 100 M&Ms is randomly selected.
Find the mean and standard deviation for the number of blue M&Ms in such groups of 100.
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