An outdoor restaurant in a summer resort closes only on rainy days. From past records, it is found that from May through September, when it rains one day, the probability of rain for the next day is 0.5; when it does not rain one day, the probability of rain for the next day is 0.08.

A) Draw a transition diagram representing the transition between the states "Open" and "Closed"
B) Give the transition probability matrix P
C) Suppose that on Tuesday, May 1t it rains. Use this fact to give the initial state distribution matrix So
D) Knowing that it rained on Tuesday, what is the probability that the restaurant will be closed on Thursday, the first day of your vacation?

What is the value of the digit 1 in the number 13?

An airplane consumes fuel at a constant rate while flying through clear skies, and it consumes fuel at a rate of 64 gallons per minute while flying through rain clouds. let c represent the number of minutes the plane can fly through clear skies and r represent the number of minutes the plane can fly through rain clouds without consuming all of its fuel. 56c+64r < 900056c+64r< 9000 according to the inequality, at what rate does the airplane consume fuel while flying through clear skies, and how much fuel does it have before takeoff? the airplane consumes fuel at a rate of gallons per minute while flying through clear skies, and it has gallons of fuel before takeoff. does the airplane have enough fuel to fly for 60 minutes through clear skies and 90 minutes through rain clouds?

Complete the conditional statement. if a + 2 < b + 3, then a < b b < a a – b < 1 a < b + 1