STA2015 Quiz 3 | questions and answers Latest Updated 2025/26 - Galen.

STA 2015 Quiz 3_Latest 2025. Out of a survey 1025 people, 572 indicated that they prefer chocolate ice cream. Based on these results, what is the probability the person would prefer chocolate ice cream? 57.2% 55.8% 50% 44.2% You roll a standard 6-sided die. What is the probability of observing an even number? Express your answer as a fraction in simplest terms. 5/6 2/3 1/2 1/6 You draw one card from a well-shuffled, standard 52-card deck. What is the probability that the card will be King or a Two? Express your answer as a decimal rounded to 3 places. 0.500 0.308 0.038 0.154 You draw one card from a well-shuffled, standard 52-card deck. You also roll a standard 6-sided die. True or False? These processes are independent. True False You draw one card from a well-shuffled, standard 52-card deck. You also roll a standard 6-sided die. Calculate the probability of drawing a King on the card and rolling less than a 5 on the die. (Express the probability as a percent rounded to the nearest tenth). 74.4% 5.1% 18.6% 6.4% Consider drawing a card from a well-shuffled, standard 52-card deck. True or False? The outcomes of "drawing an Ace" and "drawing a heart" are mutually exclusive. True False You draw one card from a well-shuffled, standard 52-card deck. What is the probability that the card will be an Ace or a Heart? Express your answer as a decimal rounded to 3 places. 0.250 0.308 0.077 0.327 Consider the following card game with a well-shuffled deck of cards. Each time you draw a card, the cost is $5. If you draw a spade or club, you win nothing. If you draw a heart, you win $3. For any diamond, you win $8. Construct a probability model for the amount you win at this game. i 1 2 3 Tota l xi 0 3 8 P(X=xi ) 0.2 5 0. 5 0.2 5 1.00 i 1 2 3 Tota l xi 0 3 8 P(X=xi ) 0. 5 0.2 5 0.2 5 1.00 i 1 2 3 Tota l xi -5 -2 3 P(X=xi ) 0. 5 0.2 5 0.2 5 1.00 i 1 2 3 Tota l xi -5 -2 3 P(X=xi ) 0.2 5 0.2 5 0.5 0 1.00 Question 9 0 / 1 pts Consider the following card game with a well-shuffled deck of cards. Each time you draw a card, the cost is $5. If you draw a spade or club, you win nothing. If you draw a heart, you win $3. For any diamond, you win $8. Find the expected winnings for a single game. $8.00 -$2.25 $2.25 $2.75 Select all answers that are TRUE about the Normal Distribution and its associated curve. If a given observation has a Z-score of -1, that observation must be one standard deviation greater than the mean. The total area underneath the normal distribution curve is 1. The standard normal distribution has a mean of 1 and a standard deviation of 0. If a given observation has a Z-score of exactly 0, this observation must be equal to the mean of the distribution. The total area underneath the curve equals 0.5. A Z-score tells you how many standard deviations away and in which direction a given observation is from the mean. True False What percent of the standard normal distribution N(m=0, o=1) is found in the region Z 0.96? 96.00% 16.85% 27.72% 83.15% Scores on a certain standardized exam follow a distribution. Brittany scored a 147 on the exam. Compute her Z-score. Round to 2 decimal places as needed. 1.47 Scores on a certain standardized exam follow a distribution. Brittany scored a 147 on the exam. What percentage of test takers did Brittany score better than? Round to the nearest percent. 93 Scores on a certain standardized exam follow a distribution. Brittany scored a 147 on the exam. If Brittany needed to score in the top 10% of test takers to earn a scholarship, did she meet her goal? No Yes