A female geneticist has difficulty characterizing flies by their eye color because she herself is red-green colorblind(an X-linked recessive phenotype). She has one sister(colorblind) and one brother(not colorblind)

You have isolated cells from an alien organism called Sacul Sinned ed. You want to know if these cells contain proteins that are similar to the cyclins found in eukaryotic cells. To this end, you

The water content of dairy products ranges from around 2.5 to 94%(w/w) (Table 7.1) and is the principal component by weight in most dairy products, including milk, cream, ice-cream, yogurt and most cheeses. The moisture content of foods (or more correctly their water activity, section 7.3), together with temperature and pH, are of great importance to food technology. As described in section 7.8 water plays an extremely important

This is an open-notes exam However, calculators are not allowed You may assume all results from lecture the notes, problem sets and recitation Write your solutions in the space provided. If you need more space, write on the back of the sheet containing the problem Be neat and write legibly. You will be

Problem set 3 Solutions Due: Tuesday, February 22 at 9 PM Problem 1. An urn contains 75 white balls and 150 black balls. while there are at least 2 balls remaining in the urn, you repeat the following operation. You remove 2 balls elected arbitrarily and then: If at least one of the two balls is black, then you discard one black ball and put the other ball back in the urn

1 Stencil the flea There is a small flea named Stencil. To his right, there is an endless flat plateau. One inch to his left is the Cliff of Doom, which drops to a raging sea filled with flea-eating monsters Cliff of doom

The Law of Total Probability is handy tool for breaking down the computation of a prob- ability into distinct cases. More precisely, suppose we are interested in the probability of an event E: Pr(). Suppose also that the random experiment can evolve in two different ways; that is, two different cases X and X are possible. Suppose also that it is easy to find the probability of each

An explorer is trying to reach the Holy Grail, which she believes is located in a desert shrine d days walk from the nearest oasis. In the desert heat, the explorer must drink continuously. She can carry at most 1 gallon of water, which is enough for 1 day. However, she is free to create water caches out in the desert. For example, if the shrine were 2/3 of day's walk into the desert, then she could recover

1 RSA In 1977, Ronald Rivest, Adi Shamir, and Leonard Adleman proposed a highly secure cryp- tosystem(called RSa)based on number theory. Despite decades of attack, no significant weakness has been found (Well, none that you and me would know.)Moreover, RSA has a major advantage over traditional codes: the sender and receiver of an encrypted

In this example, the domain is the set fa,b, c, d, el and the range is the set Y= (1, 2, 3, 4, 5/. Related elements are joined by an arrow. This relation is a function because every element on the left is related to exactly one element on the right. In graph-theoretic