Weather records for a certain region indicate that there is a tendency for two hot summers to occur in a row. From the statistics for the region, the following information has been es tahlished:
(i) the chance of any given summer being hot is 020:
ii the weather in a given summer is hot, the following summer ill a I so be hot with a probahi Ii ly of 0.40: and
(iii) the weather in an given year depends only on the weather in the previous year.
(a What is the prohability that there will be three hot summers iii a row in the given region?
b) If the summer this year is not hot. what is the probahility that the summer next year will not he hot?
C) What is the probability that there will be at least one hot summer in the next 3 years?