Unit 3 Statistics 221 Milestone

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DeVry University, Keller Graduate School of Management *

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221

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Statistics

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Jan 9, 2024

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docx

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Uploaded by Cyntiann

25/27 that's 93% RETAKE 25 questions were answered correctly . 2 questions were answered incorrectly . 1 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 :  Green, violet  Red, red  Orange, yellow  Blue, black RATIONALE Since black is not part of the original set, it cannot be chosen into the sample. CONCEPT Outcomes and Events Report an issue with this question 2 Satara was having fun playing poker. She needed the next two cards dealt to be hearts so she could make a flush (five cards

of the same suit). There are 10 cards left in the deck, and three are hearts. What is the probability that the two cards dealt to Satara (without replacement) will both be hearts? Answer choices are in percentage format, rounded to the nearest whole number .  7%  30%  26%  60% RATIONALE If there are 10 cards left in the deck with 3 hearts, the probability of being dealt 2 hearts without replacement means that we have dependent events because the outcome of the first card will affect the probability of the second card. We can use the following formula: The probability that the first card is a heart would be 3 out of 10, or . The probability that the second card is a heart, given that the first card was also a heart, would be because we now have only 9 cards remaining and only two of those cards are hearts (since the first card was a heart).

So we can use these probabilities to find the probability that the two cards will both be hearts: CONCEPT "And" Probability for Dependent Events Report an issue with this question 3 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  36  18 RATIONALE We can use the general counting principle and note that for each step, we simply multiply all the possibilities at each step to get the total number of outcomes. Each die has 6 possible outcomes. So the overall number of outcomes for rolling 3 die with 6 possible outcomes each is: CONCEPT Fundamental Counting Principle

Report an issue with this question 4 Zhi and her friends moved on to the card tables at the casino. Zhi wanted to figure out the probability of drawing a King of clubs or an Ace of clubs. Choose the correct probability of drawing a King of clubs or an Ace of clubs. Answer choices are in the form of a percentage, rounded to the nearest whole number.  6%  2%  4%  8% RATIONALE Since the two events, drawing a King of Clubs and drawing an Ace of Clubs, are non-overlapping, we can use the following formula: CONCEPT "Either/Or" Probability for Non-Overlapping Events Report an issue with this question 5 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?     RATIONALE Recall that we can go from " " odds to a probability by rewriting it as the fraction " ". So odds of 3:11 is equivalent to the following probability: CONCEPT Odds Report an issue with this question 6 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 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.  0.66  0.54  0.23  0.34 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: CONCEPT Two-Way Tables/Contingency Tables Report an issue with this question 7 Which of the following is a property of binomial distributions?  All of the observations made are dependent on each other.

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