Consider the experiment of taking this exam. Suppose we mode…

Consider the experiment of taking this exam. Suppose we model your score for this exam as Y=5X, where X is a discrete uniform random variable over {0,1,…,N}, and N is the total number of questions. Note that X represents a random variable which is the total number of questions you get right. Find

Consider the experiment of taking this exam. Suppose we mode…

Consider the experiment of taking this exam. Suppose we model your score for this exam as Y=5X, where X is a sum of N iid Bernoulli random variables each with parameter p=[p], and N is the total number of questions. Note that X represents a random variable which is the total number of questions you get right. Find the variance of Y.

Consider the cyanobacteria Anabaena. Individual cells grow a…

Consider the cyanobacteria Anabaena. Individual cells grow attached to each other in long chains produced from binary fission. Most perform photosynthesis, using photosystems I and II to generate ATP and NADPH that they use to power the fixation of carbon dioxide via the Calvin cycle. However, a small number form heterocysts, cells that fix nitrogen into ammonium instead of performing photosynthesis. Heterocysts share their nitrogen compounds with their photosynthetic neighbors, who in turn share sugars with the heterocysts. If you extracted all the mRNA from a single heterocyst, and all the mRNA from a single photosynthetic cell, what information would this give you, i.e., what would this tell you about them?

You conduct an Ames test on a chemical you suspect might be…

You conduct an Ames test on a chemical you suspect might be a carcinogen. Following incubation, you count 3 colonies on your control plate (no chemical added) and over 400 colonies on your experimental plate (chemical added). From this information, you can conclude ______.