(2 points) Consider the linear system y⃗ ′=[−35−23]y⃗ . Find the eigenvalues and eigenvectors for the coefficient matrix. 1= , ⃗ 1= ⎡⎣⎢⎢⎢ ⎤⎦⎥⎥⎥ , and 2= , ⃗ 2= ⎡⎣⎢⎢⎢ ⎤⎦⎥⎥⎥ Find the real-valued solution to the initial value problem {y′1y′2==−3y1−2y2,5y1+3y2,y1(0)=9,y 2(0)=−10.

Arandom sample of size n 64 is taken from a population with population proportion p 0.38 describe the sampling distribution of p. draw a graph of this probability distribution with its a. mean and standard deviation. b. what is the probability that the sample proportion is greater than 0.5? what is the probability that the sample proportion is less than 0.3? d. what is the probability that the sample proportion is between 0.35 and 0.45?