12.2 and 12.7 Quiz – Algebra 2

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12.2 and 12.7 Quiz – Algebra 2
1. The table shows the results of a class survey. Find 𝑃(𝑑𝑖𝑑 𝑎 𝑐ℎ𝑜𝑟𝑒|𝑚𝑎𝑙𝑒).
2. Americans recycle increasingly more materials through municipal waste collection each year. The table
shows recycling data for a recent year.
a. Find the probability that a sample of the recycled
waste was paper. (Hint: Think about what the given
is in this situation. What is the only column we need
to be concerned with to answer the question?)
b. Find the probability that a sample of not-recycled waste was plastic.
3. Researchers asked shampoo users whether they apply shampoo directly the head, or indirectly using a
hand. Use the table to find the following probabilities.
a. 𝑃(𝑎𝑝𝑝𝑙𝑦𝑠 𝑠ℎ𝑎𝑚𝑝𝑜𝑜 𝑑𝑖𝑟𝑒𝑐𝑡𝑙𝑦|𝑓𝑒𝑚𝑎𝑙𝑒)
b. 𝑃(𝑖𝑛𝑡𝑜 ℎ𝑎𝑛𝑑|𝑚𝑎𝑙𝑒)
c. 𝑃(𝑚𝑎𝑙𝑒|𝑖𝑛𝑡𝑜 ℎ𝑎𝑛𝑑)
4. Sketch a normal distribution curve for a seta set with a mean of 676 and a standard deviation of 60
(include the percentages between each standard deviation). Show the results at one, two, and three
standard deviations from the mean.
5. Scores on an exam are normally distributed with a mean of 76 and a standard deviation of 10.
a. In a group of 230 tests, how many students score above 96?
b. In a group of 230 tests, how many students score below 66?
c. In a group of 230 tests, how many students score with in one standard deviation of the mean?
6. The actual weights of bags of pet food are normally distributed. The mean of the weights is 50.0 lb, with
a standard deviation of 0.2 lb.
a. About what percentage of bags of pet food weight less than 49.8 lb?
b. In a group of 250 bags, how many would you expect to weigh more than 50.4 lb?
c. In a group of 50 bags, how many would you expect to be between 1 and 2 standard deviations
above the mean?
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