In the bottom of the 9th inning in a tie game, the leadoff batter for the home team hitsa double. According to researcher Tom Tango, teams in this situation have a win probability of 0.807. Because the home team only needs one run to win the game, some managers will choose to have the next player attempt a sacrifice bunt, which allows the runner on second base to reach third base while the hitter is thrown out. If the sacrifice bunt is successful, then the home team has a runner on third base with 1 out and a win probability of 0.830. However, if the sacrifice is unsuccessful and the runner is thrown out at third, there is a runner at first with one out (win probability of 0.637), What is the minimum probability of a successful bunt that would warrant using the bunt? Enter your answer as a decimal (not a percent) with 3 decimal places.

Toyland is having a sale. all items are 20% off. how much will you save on an item that usually sells for 95$ explain your

In tossing one coin 10 times, what are your chances for tossing a head? a tail? 2. in tossing one coin 100 times, what are your chances for tossing a head? a tail? 3. in tossing one coin 200 times, what are your chances for tossing a head? a tail? deviation = ((absolute value of the difference between expected heads and observed heads) + (absolute value of the difference between expected tails and observed tails)) divided by total number of tosses. this value should always be positive. 4. what is the deviation for 10 tosses? 5. what is the deviation for the 100 tosses? 6. what is the deviation for 200 tosses? 7. how does increasing the total number of coin tosses from 10 to 100 affect the deviation? 8. how does increasing the total number of tosses from 100 to 200 affect the deviation? 9. what two important probability principles were established in this exercise? 10. the percent of occurrence is the obtained results divided by the total tosses and multiplied by 100%. toss the coins 100 times and record your results. calculate the percent occurrence for each combination. percent head-head occurrence: percent tail-tail occurrence: percent head-tail occurrence:

Monthly water bills for a city have a mean of $108.43 and a standard deviation of $32.09. find the probability that a randomly selected bill will have an amount greater than $155, which the city believes might indicate that someone is wasting water. would a bill that size be considered unusual?