Researchers asked students in grades 4-6 in three school dis…

Researchers asked students in grades 4-6 in three school districts in Michigan about what they thought was the most important thing in school: making good grades, being popular or being good in sports. There were urban, rural and suburban schools surveyed. Rural Suburban Urban All Grades 57 87 103 247 Popular 50 42 49 141 Sports  42 22 26 90 All 149 151 178 478 Find the probability of selecting two students who attend urban school from this data set (without replacement). Round your solution to 2 decimal places. 

If a coin is flipped three times in succession, what is the…

If a coin is flipped three times in succession, what is the probability of getting exactly 1 tails? Hint: The total sample space is 8. Think of all the possible combinations that can occur when flipping a coin three times.   Round your solution to 2 decimal places.   

A game is played using one die. If the die is rolled and sho…

A game is played using one die. If the die is rolled and shows a 3 or 4​, the player wins $10.  If the die rolled shows a 5 then the player wins $6. If the die shows any other number,  the player wins nothing. It costs $4 to play the game.  Find the expected value. Round to two decimal places.  The player can expect to win/lose an amount of per game played. Round your solution to 2 decimal places. 

Researchers asked students in grades 4-6 in three school dis…

Researchers asked students in grades 4-6 in three school districts in Michigan about what they thought was the most important thing in school: making good grades, being popular or being good in sports. There were urban, rural and suburban schools surveyed. Rural Suburban Urban All Grades 57 87 103 247 Popular 50 42 49 141 Sports  42 22 26 90 All 149 151 178 478 What is the probability that a randomly selected student is from an urban school given that they think sports are most important? Round your solution to 2 decimal places. 

An architect is considering bidding for the design of a new…

An architect is considering bidding for the design of a new museum. The cost of drawing plans and submitting a model is $9,000.  The probability of being awarded the bid is 0.2. If the architect is awarded the​ bid, she will make ​$90,000 minus the $9,000 cost for plans and a model. The probability of not being awared the bid is 0.8. What is the expected value in this situation? Round your solution to the nearest whole number.