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MAT 035 Paper Test Practice (Mods 4-5)Instructions: Report exact values when possible, or report your decimal answers to 4 decimal places. You may do your work on another sheet of paper. Be sure to state calculator steps for partial credit on technology problems.For each of the 4 graphs below, determine if the equation of best-fit is linear or nonlinear. If the graph is linear, give the sign of the slope (positive, negative, zero) and the relative strength of the linear correlation (strong, moderate, weak, zero).33909002406015D00D5080002342515C00C3435350132715B00B571500177165A00AA) A set of 10 observations is shown below. Use your calculator create a scatterplot of the data. Sketch the graph in the space below. B) Then use your calculator to find the linear regression equation. State both the equation and the correlation value. 37274502921000The graph below relates study time to quiz grades. The linear regression equation is shown on the graph. What does the slope mean in the context of the problem?If a student spends 30 minutes on studying, what quiz score should they expect? What if the student spent 60 minutes? Is this prediction reasonable? Why or why not?Use the correlation provided and describe the relationship as strong, moderate or weak. Find the coefficient of determination and interpret it in the context of this problem.The probability of being a church-goer in a given week is 40% for a particular town. What is the probability of not going to church in a given week?305435010477500Use the table to the right to answer the following:What is the probability of randomly selecting someone from the sample who owns a sports car?What is the probability of randomly selecting someone from the sample who owns a sports car given that the owner is a woman?What is the probability of a randomly selected person from the sample who is both a woman and owns a sports car?What is the probability of a randomly selected person from the sample being either a woman or owning a sports car?What is the probability of an impossible event?If the probability of being a licensed driver in a particular town is 85%, what is the probability of not having a license?How many different ways are there for 8 horses to place first, second and third in a race?If the table below represents a probability distribution, complete the table. What is the probability that someone is taking Latin?LanguageFrenchGermanSpanishLatinOtherP(x)0.30.10.40.14Determine if the following table represents a legitimate probability distribution. If it does not, explain why not.x3152130415769P(x)0.010.150.23-0.130.280.070.39A national survey asked people how often they ate out for dinner instead of at home. The responses are recorded in the table below.ResponseFrequencyRelative FrequencyNever400Rarely350Sometimes900Most of the Time460Always35Construct a relative frequency distribution of the data. Round your percentages to the nearest tenth of a percent. What percentage of respondents answered “always”?What percentage of respondents answered “never” or “rarely”?If you and nine other friends are standing in line for an event, how many different ways can your group arrange themselves in line?A wardrobe contains 14 shirts, 5 pairs of pants, 3 pairs of shoes and 2 jackets. If you are selecting randomly from clothes of each type in the dark, what is the number of possible different combinations of outfits you can end up with?A committee is being selected from a group of 22 faculty and is to be composed of 5 people. How many different committees can be formed?Use set notation to describe each of the Venn Diagrams below. Let the two sets be labeled set A and set B. Let the three set diagrams be sets D, E and F. Use the symbols ∪, ∩, AC. Write the same thing in words.d. e. f. A bag of jellybeans contains three white, four green, five red, two yellow and one black jellybean. What is the probability of selecting a red jellybean at random?You toss a fair coin three times and get tails each time. What is the probability of getting tails again on the fourth toss?If you toss a fair coin five times, what is the probability of getting heads every time?Which of the following probabilities are invalid? Circle your answers.PA=-1PB=0PC=0.08PD=1PE=100Suppose that you know the following: The probability of event A is 0.6, the probability of event B is 0.3, and the probability of both occurring is 0.15.What is the probability of “not A”? (i.e. P(Ac))What is the probability that event A OR B occurred?What is the probability that neither A nor B occurs?Are events A and B independent? Explain.Draw a Venn diagram illustrating the situation. Use the graph below and label all the regions with the appropriate probabilities.Using the table of course grade totals, answer the following questions.ABCDFMen610921Women34310What is the probability of selecting a person at random that earned an “A”?What is the probability of selecting a person at random that is a woman?What is the probability of selecting a student at random who is a woman who earned a “B”?What is the probability that a randomly selected person earned a “C” or better?The image above shows all the possible outcomes in a standard deck of 52 cards. Use this to answer the following questions:If we were to describe each of the possible outcomes in a list, what is this called?What is the probability of selecting a card at random and getting a heart?What is the probability of drawing a card at random and getting a 7 or a diamond?Suppose you draw a card at random, keep it, and draw another. What is the probability that both cards are queens?Suppose you pick a random card, then place it back in the deck, shuffle it, and pick another card at random. What is the probability that both cards were hearts?A new couple would like to have three children. What is the probability that all three children will be the same sex? Use a tree diagram to find the sample space.The probability that a randomly selected 63-year-old dies in the next year is 0.011524.What is the probability that a randomly selected 63-year-old lives another year?What is the probability that two randomly selected 63-year-olds both die in less than a year?What is the probability that 100 randomly selected 63-year-olds all survive for another year?What is the probability that at least one 63-year-old dies out of 10?You roll an 8-sided die.List the sample space?What is the probability of rolling a 3?What is the probability of rolling an even number?What is the probability of rolling a 3 or a 4? ................
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