(3 points) A careless university student leaves her iClicker device behind with

Question

(3 points) A careless university student leaves her iClicker device behind with probability 1/4 each time she attends a class. She sets out with her iClicker device to attend 5 different classes (each class is in a different lecture theatre). Part 1) What is the probability (to 3 significant figures) that she will leave her iClicker device in the 5th class? Probability- Part 2) ir she arrives home without her iClicker device (after attending 5 classes), what is the probability (to 3 SIGNIFICANT figures) that she left it in the 5th class? Probability Part 3) if she arrives home without her iClicker device and she is sure she has the iClicker device after leaving the first class, what is the probability (to 3 SIGNIFICANT figures) that she left it in the 5th class? Probability

Explanation / Answer

1)P(leaves iClicker in 5th class)=P(does not leave in first 4 and leave in 5th class)=(3/4)4*(1/4)=0.079

2)

P(she leaves icliker in at least one of 5 class) =1-P(does not leave) =1-(3/4)5 =0.7627

hence P(leaves in fifth class|leaves in at least one class)=0.079/0.7627=0.104

3)

P(left in 5th class|left after 1st class) =(3/4)3*(1/4)/(1-(3/4)4) =0.154

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