*NURSING > EXAM > Statistics Milestone 3 Kita With Complete Soutions (All)

Statistics Milestone 3 Kita With Complete Soutions

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La'Vonn rolled a die 100 times. His results are below. Number Times Rolled 1 18 2 20 3 15 4 17 5 14 6 16 What is the relative frequency for La'Vonn rolling a 3? Answer choices are rounded to ... the hundredths place.  0.01  0.15  0.38  0.07 RATIONALE The relative frequency of a 3 is: CONCEPT Relative Frequency Probability/Empirical Method 2 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. 0.04666  0.03110  0.00614  0.01866 RATIONALE Since we are looking for the probability until the first success, we will use the following Geometric distribution formula: The variable k is the number of trials until the first success, which in this case, is 6 throws. The variable p is the probability of success, which in this case, a success is considered missing a free throw. If the basketball player has a 60% of making it, he has a 40%, or 0.40, chance of missing. CONCEPT Geometric Distribution 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?  18  216  27  36 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 diehas 6 possible outcomes. So the overall number of outcomes for rolling 3 die with 6 possible outcomes each is: CONCEPT Fundamental Counting Principle 4 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.  23%  8%  50%  67% RATIONALE The probability of it being a King given it is a Black card uses the conditional formula: Note that in a standard deck of 52 cards, half of the cards are black, or 26 out of 52. Of those 26 black cards, only two are Kings. CONCEPT Conditional Probability 5Which of the following is an example of a false positive?  Test results confirm that a patient does not have cancer.  Test results indicate that a patient has cancer when, in fact, he does not.  Test results confirm that a patient has cancer.  Test results indicate that a patient does not have cancer when, in fact, he does. RATIONALE Since the test results indicate positively that the patient has cancer, when in fact cancer is not present, this is a false positive. CONCEPT False Positives/False Negatives 6 Select the foll [Show More]

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