Sophia Introduction to Statistics Unit 3 Milestone (AutoRecovered).docx/;RATED A

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Sophia Introduction to Statistics Unit 3 Milestone Question 1 Mark this question The average number of tunnel construction projects that take place at any one time in a certain state is 3. ... Find the probability of exactly five tunnel construction projects taking place in this state. Question 2 Mark this question Kate was trying to decide which type of frozen pizza to restock based on popularity: pepperoni pizza or sausage pizza. After studying the data, she noticed that pepperoni flavors sold best on the weekdays and on the weekends, but not best overall. Question 3 Mark this question Using the Venn Diagram below, what is the conditional probability of event Q occurring, assuming that event P has already happened [P (Q|P)]? Question 4 Mark this question Sarah throws a fair die multiple times, recording the total number of "2"s she throws and then calculating the proportion of "2"s she has thrown so far after each throw. She then constructs a graph to visualize her results. Which of the following statements is FALSE? Question 5 Mark this question Which of the following is an example of a false positive? Question 6 Mark this question Zhi and her friends moved on to the card tables at the casino. Zhi wanted to figure out the probability of drawing a face card or an Ace. Choose the correct probability of drawing a face card or an Ace. Answer choices are in the form of a percentage, rounded to the nearest whole number. Question 7 Mark this question Which of the following situations describes a continuous distribution? • A probability distribution showing the number of vaccines given to babies during their first year of life • A probability distribution showing the amount of births in a hospital in a month • A probability distribution showing the average number of days mothers spent in the hospital • A probability distribution showing the weights of newborns Question 8 Mark this question Paul went to a blackjack table at the casino. At the table, the dealer has just shuffled a standard deck of 52 cards. Paul has had good luck at blackjack in the past, and he actually got three blackjacks with Kings in a row the last time he played. Because of this lucky run, Paul thinks that Kings are the luckiest card. The dealer deals the first card to him. In a split second, he can see that it is a black card, but he is unsure if it is a King. What is the probability of the card being a King, given that it is a black card? Answer choices are in a percentage format, rounded to the nearest whole number. • 8% • 23% • 67% • 50% Question 9 Using this Venn diagram, what is the probability that event A or event B occurs? • 0.36 • 0.77 • 0.68 • 0.41 (0.24+0.41+0.12)=0.77 Question 10 Mark this question A credit card company surveys 125 of their customers to ask about satisfaction with customer service. The results of the survey, divided by gender, are shown below. If a survey is selected at random, what is the probability that the person is a female with neutral feelings about customer service? Answer choices are rounded to the hundredths place. Question 11 Mark this question Annika was having fun playing poker. She needed the next two cards dealt to be diamonds so she could make a flush (five cards of the same suit). There are 15 cards left in the deck, and five are diamonds. What is the probability that the two cards dealt to Annika (without replacement) will both be diamonds? Answer choices are in percentage format, rounded to the nearest whole number. • 29% • 10% • 33% • 13% Question 12 Mark this question Two sets A and B are shown in the Venn diagram below. Which statement is FALSE? • • Set B has 10 elements. • Sets A and B have 5 common elements. • There are a total of 25 elements shown in the Venn diagram. Set A has 12 elements. Question 13 Mark this question For a math assignment, Michelle rolls a set of three standard dice at the same time and notes the results of each trial. What is the total number of outcomes for each trial? • 216 • 27 • 18 • 36 Question 14 Mark this question Fifty people were asked whether they were left handed. Six people answered "yes." What is the relative frequency of left-handed people in this group? Answer choices are rounded to the hundredths place. • 8.33 • 1.14 • 0.88 • 0.12 Question 15 Mark this question Select the following statement that describes non-overlapping events. • Luke needs to roll an odd number to win. When it’s his turn, he rolls a five. • Luke wants a red card so he can have a winning hand, and he receives the five of clubs. • Question 16 Mark this question Mark looked at the statistics for his favorite baseball player, Jose Bautista. Mark looked at seasons when Bautista played 100 or more games and found that Bautista's probability of hitting a home run in a game is 0.173. If Mark uses the normal approximation of the binomial distribution, what will be the variance of the number of home runs Bautista is projected to hit in 100 games? Answer choices are rounded to the tenths place. • 17.3 • 14.3 • 0.8 • 3.8 Question 17 Mark this question A bag contains 8 red marbles, 7 blue marbles, and 6 green marbles. Adam randomly picks out a marble from the bag. 8+7+6= 21 7/21 or 1/3 Question 18 Mark this question What is the probability of NOT drawing a Queen from a standard deck of 52 cards? Question 19 Mark this question The gender and age of Acme Painting Company's employees are shown below. If the CEO is selecting one employee at random, what is the chance he will select a male OR someone in their 40s? Question 20 Mark this question Sadie is selecting two pieces of paper at random from the stack of colored paper in her closet. The stack contains several sheets of each of the standard colors: red, orange, yellow, green, blue, and violet. All of the following are possible outcomes for Sadie's selection, EXCEPT: • • Blue, black • Green, violet • Red, red Orange, yellow Question 21 Mark this question Dan is playing a game where he selects a card from a deck of four cards, labeled 1 , 2, 3, or 4. The possible cards and probabilities are shown in the probability distribution below. What is the expected value for the card that Dan selects? Question 22 Mark this question A survey asked 1,000 people which magazine they preferred, given three choices. The table below breaks the votes down by magazine and age group. If you randomly select a person under the age of 40 from the group, what is the probability that they voted for "The Month?" Answer choices are rounded to the hundredths place. Question 23 Mark this question A bag holds 20 red marbles and 40 green ones, for a total of 60 marbles. Ryan picks one marble from the bag at random, hoping to pick a red marble. Which of the following statements is true? Question 24 Mark this question Which of the following is a property of binomial distributions? • • All of the observations made are dependent of each other. • The variable of interest is the total number of successes or failures for a given number of observations. • The expected value is equal to the number of successes in the experiment. There are exactly four possible outcomes for each trial. Question 25 Mark this question Eric is randomly drawing cards from a deck of 52. He first draws a red card, places it back in the deck, shuffles the deck, and then draws another card. What is the probability of drawing a red card, placing it back in the deck, and drawing another red card? Answer choices are in the form of a percentage, rounded to the nearest whole number. • 13% • 4% • 22% • 25% Question 26 Mark this question John randomly selects a ball from a bag containing different colored balls. The odds in favor of his picking a red ball are 3:11. What is the probability ratio for John picking a red ball from the bag? Question 27 Mark this question A basketball player makes 80% of his free throws. We set him on the free throw line and told him to shoot free throws until he misses. Let the random variable X be the number of free throws taken by the player until he misses. Assuming that his shots are independent, what is the probability of this player missing a free throw for the first time on the fifth attempt? [Show More]

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