Please help to solve this probability problem. The numbers on the line (excluding the question numbers like 1. 2. and 3.

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Please Help To Solve This Probability Problem The Numbers On The Line Excluding The Question Numbers Like 1 2 And 3 1 (437.75 KiB) Viewed 88 times

1. Fill in the blanks We are given a coin. It can be tossed any number of times to generate independent outcomes (heads vs tails). Its probability X of showing head is assumed to be uniformly distribued on (0,1). Before any toss of the coin is made: • What would be our best prediction on the number of heads occuring when it is tossed 10 times? Ans: 1. 5.00 (2 decimal places) • What is the mean square error of this prediction? Ans: 2. 10.00 (2 decimal places) We now toss the coin 5 times and see exactly 3 heads among them. • What would now be our best prediction on the number of heads occuring when it is tossed another 10 times? Ans: 3. 5.71 (2 decimal places) • what is the mean square error of this prediction? Ans: 4. 5.20 (2 decimal places)