(0.8 0.3 0.2 0.7 Consider a dynamic system with states a and b governed by a stochastic matrix A = as follows: an+1 an = A bn bn+1 ao where an and b, represents number of elements in state a and b after n steps respectively. Let (70` .What does the Perron-Frobenius Theorem for stochastic 30 matrices tells us? Select all correct options. 70 is a stationary distribution of A 30 70 when n is large. 30 an The sequence converges to bn The sequence converges to a stationary distribution when n is large. bn A bas opl, luo which ic 1 O O

The number of different arrangement that can be made using all letters in CALGARY if the first must be G is

For practice only

Suppose there are 19 students in a class. A teacher has 122 pencils and passes them out to the class. Estimate the number of pencils each student will recive.