Consider flipping n fair coins (assume n is even) (a) 1 point] what is the probability of getting half heads and half tails, in no particular order? 1, simplify your answer, and show the limiting behavior of the (b) [1.5 points] assume that n probability as n -> co.

Answer with Explanation:

The problem can be simplified as follows

The number of possible outcomes after tossing a coin N times is since for each toss 2 outcomes are possible

Since we need equal heads and equal tails the no of cases amont the cases are

Thus the required probability is

Part 2)

For the limit as N approaches infinity we have

Using Stirling's approximation and solving we get

cell differentiation  is how generic embryonic  cells  become specialized  cells. this occurs  through a process called gene expression. gene expression is the specific combination of genes that are turned on or off (expressed or repressed), and this is what dictates how a  cell  functions.

explanation: