Form A Page 1 of 1. #3A #3A STAT141 Quiz Ch 14 #1 #2 #3 #4 24 10 06 10 Score Name date /50 Show all necessary work in a neat and orderly fashion. Remember that you are writing this so that the teacher understands what and how you are calculating. 1) Here is the situation. The number of elements in the sample space. Equally likely? a) Flip 4 coins (a penny, a nickel, a dime, a quarter) and record the head/tail of each. YES NO b) Flip 10 pennies and record the number of heads. YES NO c) Roll two dice (one red and one green) and record the pair of numbers. YES NO d) Roll two dice (one red and one green) and record the sum of the pair of numbers. YES NO 2) Tell me the special statistical adjective for the events E and F for which these statements are valid. a) Pr( E or F ) = Pr( E ) + Pr( F ) b) Pr( E and F ) = Pr( E ) * Pr( F ) 3) A batter with a 320 batting average is one who gets a hit 32% of times at bat. He had failed to get a hit in ten consecutive times at bat then hits a game-winning home run. When talking to reporters afterward, he says he was very confident that last time at bat because he knew he was "due for a hit." Comment on his faulty reasoning including a VERY important statistical word. 4) a) A certain bowler can bowl a strike 72% of the time. What is the probability that she: goes five consecutive frames without a strike? Answer as a %. b) Show formula here. Then use calculator to find the percent. has at least one strike in the first four frames? Answer as a %. Show formula here. Then use calculator to find the percent. Form A Page 1 of 1. #3B #3B STAT141 Quiz Ch 14 #1 #2 #3 #4 24 10 06 10 Score Name date /50 Show all necessary work in a neat and orderly fashion. Remember that you are writing this so that the teacher understands what and how you are calculating. 1) Here is the situation. The number of elements in the sample space. Equally likely? a) Roll two dice (one red and one green) and record the sum of the pair of numbers. YES NO b) Roll two dice (one red and one green) and record the pair of numbers. YES NO c) Flip 12 pennies and record the number of heads. YES NO d) Flip 5 coins (a penny, a nickel, a dime, a quarter, a halfdollar) and record the head/tail of each. YES NO 2) a) A certain bowler can bowl a strike 65% of the time. What is the probability that she: goes four consecutive frames without a strike? Answer as a %. b) Show formula here. Then use calculator to find the percent. has at least one strike in the first five frames? Answer as a %. Show formula here. Then use calculator to find the percent. 3) A batter with a 310 batting average is one who gets a hit 31% of times at bat. He had failed to get a hit in ten consecutive times at bat then hits a game-winning home run. When talking to reporters afterward, he says he was very confident that last time at bat because he knew he was "due for a hit." Comment on his faulty reasoning including a VERY important statistical word. 4) Tell me the special statistical adjective for the events E and F for which these statements are valid. a) Pr( E and F ) = Pr( E ) * Pr( F ) b) Pr( E or F ) = Pr( E ) + Pr( F )