STATISTICS MISCmilestone 3 statistics

Ryan is playing a multiplication game with a pile of 26 cards, each with a number on them. Each turn, he flips over two of the cards, and has to multiply the numbers. How many possible outcomes are there on Ryan's first turn flipping two cards? 676 26 650 52 What is the probability of NOT drawing a face card from a standard deck of 52 cards? Using the Venn Diagram below, what is the conditional probability of event B occurring, assuming event A has happened [P(B|A)]? 0.77 0.63 0.24 0.41 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. 10% 29% 13% 33% 5 Using this Venn diagram, what is the probability that event A or event B occurs? 0.77 0.36 0.68 0.41 Which of the following is an example of a false positive? Sending a guilty man to jail. A medical test coming back negative for a disease you don't have. Sending an innocent man to jail. A medical test coming back positive for a disease you do have. A bag contains 8 red marbles, 7 blue marbles, and 6 green marbles. Adam randomly picks out a marble from the bag. What is the theoretical probability that Adam will pick a blue marble from the bag? Two sets A and B are shown in the Venn diagram below. Which statement is TRUE? Set A has 8 elements. Sets A and B have 3 common elements. There are a total of 2 elements shown in the Venn diagram. Set B has 7 elements. 9 Kyle was trying to decide which type of soda to restock based on popularity: regular cola or diet cola. After studying the data, he noticed that he sold less diet cola on weekdays and weekends. However, after combing through his entire sales records, he actually sold more diet cola than regular cola. Which paradox had Kyle encountered? Benford's Law Simpson's Paradox False Negative False Positive 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. 4% 8% 31% 25% 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. Age Below 40 Age 40 and Above The National Journal 104 200 Newsday 120 230 The Month 240 106 If a survey is selected at random, what is the probability that the person voted for "Newsday" and is also age 40 or older? Answer choices are rounded to the hundredths place. 0.34 0.23 0.54 0.66 RATIONALE If we want the probability of people who voted for "Newsday" and are also age 40 and over, we just need to look at the box that is associated with both categories, or 230. To calculate the probability, we can use the following formula: 12 Tim rolls two six-sided dice and flips a coin. All of the following are possible outcomes, EXCEPT: 5, 2, Tails 2, 8, Heads 1, Tails, 6 Heads, 3, 4 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? The probability distribution for the possible number of outcomes changes as the total number of throws increases. The theoretical probability of getting a 2 is 0.167 for each throw. The relative frequency of "2"s thrown changes as Sarah throws the die more. This is an example of the law of large numbers. 14 A basketball player makes 60% of his free throws. We set him on the free throw line and asked 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, find the probability that he will miss the shot on his 6th throw. 0.03110 0.04666 0.01866 0.00614