2.91) suppose that in Vancourver B.C the probabaility that arainy fall day is fo

Question

2.91) suppose that in Vancourver B.C the probabaility that arainy fall day is followed by a rainy day in 0.80 and theprobability that a sunny day is followed by a rainy day is 0.60.Find the probabalities that a rainy fall day is follwed by a) a rainy day, a sunny day and another rainy day b) two sunny days and then a rainy day c) two rainy days and then two sunny days d) rain two days later. CAN YOU PLEASE EXPAIN BREIFLY WITH FOLLOWING STEPS 2.91) suppose that in Vancourver B.C the probabaility that arainy fall day is followed by a rainy day in 0.80 and theprobability that a sunny day is followed by a rainy day is 0.60.Find the probabalities that a rainy fall day is follwed by a) a rainy day, a sunny day and another rainy day b) two sunny days and then a rainy day c) two rainy days and then two sunny days d) rain two days later. CAN YOU PLEASE EXPAIN BREIFLY WITH FOLLOWING STEPS

Explanation / Answer

Rainy day Followed by rainy day = .8 Sunny day Followed by rainy day = .6 a) rainy, sunny, then rainy. Multiply our probabilities and we get .8 * .6 *.8 = # (You can dothe math) b) sunny, sunny, then rainy so, .6 * .6* .8 = # c) rainy, rainy, sunny, sunny so, .8*.8*.6*.6 = # d) This one is a little tricky. I am not sure if they mean that asunny day falls first and then it is a rainy day or it is just onlya rainy day. So, if it is what I said first then .6*.8 = # If it is just a rainy day then it is just .8 You just take the probabilities that you are given and multiplydepending on what days come up next. I hope that helps!

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