A tennis player makes a successful first serve 51% of the time.  If she serves 9 times, what is the probabiliyt that she gets exactly 3 successful first serves in?  Assume that each serve is independent of the others.

A teacher was listening to some of her students talk about how many SnapChats they send during the day. The teacher decided that she wanted to conduct a study to see if the number of SnapChats a student sends per day affects how much time students talk to their friends face-to-face. So, the teacher let her 2nd period class continue sending Snaps as they always have. Then, the teacher told her 5th period that they were to not watch use SnapChat for a whole day. Then, the teacher had students record how many conversations they had with their friends during the week, gathered the data, and analyzed the results. What type of study is this? Experimental or observational?

Based on long experience, an airline found that about 4% of the people making reservations on a flight from Miami to Denver do not show up for the flight. Suppose the airline overbooks this flight by selling 267 ticket reservations for an airplane with only 255 seats.

In a group of 50 patrons 18 patrons like lattes 16 patrons like espressos and 8 patrons like both coffee drink how many patrons don’t like either of the coffee drinks

What is the Combination Rule?

Count the number of strings of m 0s and n 1s that have exactly k blocks of consecutive 1s.

What is expressed symbolically sum of square between columns?

Bonnie runs 1(2)/(3) times as far as John each day. If Bonnie runs 5 miles on Monday, 3(1)/(2) miles on Tuesday, and 5(3)/(4) miles on Wednesday, how many miles did John run in all those three days?

Certain app allows you to order from different types of cuisine. According with the app's records 23% of the orders are to an American food restaurant, 38% to an Asian food restaurant, 17% to a Mexican food restaurant, 6% to a Dessert place, and the rest are to other types of restaurants. Assume that incoming orders are independent of each other.

Botanists discover a new plant that lives for only one single year. It germinates in the spring, then in the summer generates 3 new seeds, before finally dying in the fall. Of the 3 seeds generated in the spring, 1 seed germinates the next year, while the other 2 seeds germinate 2 years later. In the year of discovery (call it year 0), botanists find 5 plants and the next year they find 7 plants. If fn can be recursively defined by fn=c₁fn-1 + C2 fn-2 What is C1? What is C2?