MATH 7 HONORS – Unit 8 Test – Probability & Statistics



Test Date: _____________ Name: _______________________ Unit 7 Study Guide- Probability & Statistics SOL 8.12, 8.13PROBABILITY INDEPENDENTEvents happen at the same time or one after the other, but they _____ ________ __________________.Examples: rolling a dice, throwing a coin. Pulling an object out of group more than once will be independent ONLY if the first object will be returned/replaced/put back to the group.1. Calculate the probability of the 1st event- “how many out of total?”2. Calculate the probability of the 2nd event3. Multiply DEPENDENTEvents happen at the same time or one after the other, but they _____________________.Examples: Take an object from a group, DO NOT RETURN/WITHOUT REPLACEMENT/Keep it, then take another one from the same group.1. Calculate the probability of the 1st event2. To calculate the probability of the 2nd event: a) Decrease the denominator of 1st probability by one b) IF getting the same object(like 2 red marbles), then decrease the numerator by one. 3. Multiply State if the events are Independent or Dependent Events:Flipping two coins________________________Choosing two marbles from a bag, but not replacing the first one________________________Rolling a number cube and spinning a spinner________________________Picking two socks out of a drawer, but not replacing the first one________________________Choosing two marbles from a bag, with the first one replaced________________________A bag contains 3 red marbles and 5 green marbles. Two marbles are drawn at random without replacement. Find the probability for each event:P(red and a green)b. P(2 greens)Two cards are chosen at random from a standard 52 card playing deck. After the first card is, the card is PUT BACK into the deck before the next pick. Find each probability:P(Two red cards) P(1 Queen and a 4 of Diamonds)P(a 3 of Hearts and a black card)There are 12 months in a year. If a month is selected randomly and a quarter is tossed, find the following probabilities: (Spring months = March/April/May) P (May and tails)c. P (Spring Month and heads)P (not a Spring Month and tails)4765675157480STATISTICS/GRAPHINGUse the stem and leaf plot to answer the following questions.Calculate:Mean__________ Median___________Mode__________Range_____________Which graph shows the most accurate 'Line of best fit' for the scatter plot? _________ Circle the word to make the statement true: The data set has ___positive/ negative/ no__ correlation.49808137505747928533492500246634069977002437133175000A.B.C)26803351143057912097663424815013144500Is the Line of Best Fit accurate for the data displayed? Explain your reasoning for your answer:________________________________________________________________________________________________________________________________________________________________________3209925-3810000The following scatter plot shows the hours of exercise per week and resting heart rates for various 30-year-old males. A line of best fit has been drawn. Use the scatter plot to answer the following questions.How would you describe the correlation between hours of exercise per week and resting heart rate?If a 30-year-old male exercises 2 hours per week, what would you expect his resting heart rate to be?If a 30-year-old male has a resting heart rate of 65 beats per minute, how many hours would you expect him to exercise per week?422910010668000Use the histogram to answer questions 11-13. Library Visits Per Year How many people visited the library less than 40 times? How many people were surveyed about library visits? How many of the people surveyed visited the library 14 times?7620028321000Write whether the following scatterplots have no correlation or a strong or weak, positive or negative correlation. Draw a line of best fit for each graph. ______________ _____________ _____________ ____________ ____________ _____________ ................
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