The probability that Chloe solves a particular math problem is 13 ; the probability that Jeleis solves that same problem is 53 ; and the probability that Danielle solves the problem is 34 . Given these probabilities are independent, find the probability that the problem is solved by:

a. all three students.

b. none of the students.

c. Chloe solves the problem but Jeleis and Danielle do not.

Scenario: 2 storage sheds are to have the same area. 1 is square and the other is rectangular. the rectangular shed is 4 meters wide and 9 meters long question: how large is one side of the square shed in meters?

Naruto is choosing between two venues that will deliver food to his house. with probability 1/3 he will choose ramen mania (r), and with probability 2/3 he will choose sushi (s). if he chooses r, 15 minutes after making the call, the remaining time it takes the food to arrive is exponentially distributed with average 10 minutes. if he orders s, 10 minutes after making the call, the time it takes the food to arrive is exponentially distributed with an average of 12 minutes. given that he has already waited 25 minutes after calling, and the food has not arrived, what is the probability that he ordered from r? i am really stuck on how to set this up, so if you could be extra clear, that would be super ! in advance

Abank manager wants to encourage new customers to open accounts with principals of at least $2 comma 500. he decides to make a poster advertising a simple interest rate of 3%. what must the principal be if the bank manager also wants to advertise that one can earn $10 the first month? can the poster correctly say, "open an account of $2 comma 500 and earn at least $10 interest in 1 month! "?