The statistics for rainfall for the month of December in Tel Aviv are as follows: A Given Day Following Day Wet Wet Dry 213 out of 326 117 out of 511 Use these figures to construct a Markov chain for predicting weather in December in Tel Aviv. (See Example 2.) (a) If today is a dry Thursday in December in Tel Aviv, what is the probability that next Saturday will also be dry? (b) Determine the long-range forecast for December in Tel Aviv. What are the probabilities that a distant day will be wet/dry?

Lecture 3: Trigonometric Functions (Section 1.4) Read pp. 25−29 of the textbook and ﬁll out pp. 1−3o the lecture notes before class: 1. Unit conversion: degrees ←→radians 2. Trigonometric functions P(x,y) hypotenus opposite θ θ adjacent c s sinθ = c θ = c e cosθ = s θ = t o tanθ = c θ = In general, let P (x