For the simple symmetric random walk pSnqn0,1,2,... with S0 0, show that PrS4 0s PrS3 1s (i) with using the probability mass functions of S4 and S3 from class, (ii) without using the probability mass functions of S4 and S3 from class. Hint: In this case, use the fact that PrS3 1s PrS3 1s due to symmetrie of the symmetric random walk (see also Problem 5.2).

This stem-and-leaf plot represents the heights of the students on ralph's basketball team. one student's height is missing from the plot. if the mean height of all the students on the team is 61 inches, what is the missing height? a. 55 in. b. 59 in. c. 61 in. d. 65 in.

Ineed with math stuff it involves graphs

30 points! here is a you are the new manager at trusty goods wholesale produce. you need to figure out how to adjust the amount of produce in your notes after the events of the day: you got 5 more crates of bananas someone returned 2 crates of apples a worker dropped a crate of grapes (oh no! , you had to throw them out) you sold a crate of bananas you sold 5 crates of apples can you write an expression to describe your day using: "a" for crates of apples "b" for crates of bananas and "g" for crates of grapes? make sure the expression is in simplest form question 2 (3 points) explain your steps using sentences.