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The bar graph shows the rents paid per month for apartments in an urban
neighborhood. The curve shows that the rents are normally distributed.
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1.
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Estimate the percent of apartment residents who pay from $600 to $749 per
month.
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Evaluate the given expression.
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2.
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P(16, 12)
a. | 871,782,912,020 | b. | 871,782,912,000 | c. | 871,782,912,012 | d. | 871,782,912,005 |
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3.
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How many ways can 5 pizza toppings be chosen from 9 available
toppings?
a. | 6,720 | b. | 32,768 | c. | 40 | d. | 126 | e. | 56 |
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4.
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How many different ways can 5 people be seated in a row of 5 seats?
a. | 120 | b. | 115 | c. | 20 | d. | 3,125 | e. | 25 |
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A machine used to fill mango boxes dispenses slightly different amounts into
each box. Suppose the weight of mangoes in 180 boxes is normally distributed with a mean of 2.2
kilograms and a standard deviation of 0.05 kilograms.
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5.
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What percent of the boxes weigh between 2.15 and 2.30 kilograms?
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6.
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If a data set is normally distributed, how much of the data is within 
3 Standard Deviations of the mean?
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The weights of 870 young deer tagged and weighed in a research study are
normally distributed with a mean of 84 pounds and a standard deviation of 2.5 pounds.
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7.
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What percent of deer weigh between 79 and 86.5 pounds? Round your answer to the
nearest integer.
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8.
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Approximately how many deer weigh more than 89 pounds?
a. | 22 deer | c. | 44 deer | b. | 23 deer | d. | 20 deer |
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9.
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If a data set is normally distributed, how much of the data is greater than 2
Standard Deviations of the mean?
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10.
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The scores on an exam are normally distributed, with a mean of 84 and a standard
deviation of 7. What percent of the scores are greater than 91?
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11.
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How many different combinations of people can be chosen as president, vice
president, and secretary from a class of 30 students?
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12.
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What is the range of the function  ? a. | all real numbers | b. | all real numbers greater than or equal to
.75 | c. | all real numbers greater than or equal to 0 | d. | all real numbers
greater than or equal to 9 |
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13.
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How many three–letter "expressions" (strings of letters) can be
formed using the letters BELS if repetition of letters is not allowed?
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14.
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In a high school, a student has an option of 3 foreign languages, training for 4
different musical instruments, and 6 types of outdoor activities. How many ways a student can select
a foreign language, an instrumental training, and an outdoor activity?
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15.
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Tina has to create a password for the security of a software program file. She
wants to use a password with 3 letters. How many passwords are allowed if no letters are repeated and
the password is not case sensitive?
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16.
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Find the x-intercept and the y-intercept of the graph of the
equation  x + 3 y = 14. Then graph the
function
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17.
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If a data set is normally distributed, how much of the data is within 
1 Standard Deviation of the mean?
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18.
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What is the solution set for this system of equations? 
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19.
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Suppose that the salary of 220 people working in an IT company are normally
distributed with a mean of $2,500 monthly and a standard deviation of $10. Approximately how many
people earn more than $2,520?
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20.
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Identify the coordinates of the vertex, the equations of the axis of symmetry,
and the direction of opening of the parabola with the equation  .
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21.
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Find the slope of the line that passes through the pair of points (–1,
–1) and (–2, 10).
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Evaluate the expression.
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22.
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23.
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(  )(  )
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24.
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If a data set is normally distributed, how much of the data is within 
2 Standard Deviations of the mean?
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25.
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How many different outcomes can a race with 8 runners have, assuming there is no
tie?
a. | 56 | b. | 40,320 | c. | 8 | d. | 16,777,216 | e. | 64 |
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