How to solve these four questions of tail probabilities and the sign test?

1.

Suppose we toss a weighted coin, for which the probability of getting a head (H ) is 70% . i) If we toss this coin 3 times, then the probability of getting exactly two heads (to two decimal places) is ii) If we toss this coin 5 times, then the probability of getting exactly four heads (to two decimal places) is ili) if we toss this coin 10 times, then the probability of getting 8 or more heads (to two decimal places) is Note: you can use Maple to evaluate the binomial coefficient n using the command binomial (n, k) . A similar feature should exist on your handheld calculators.Recall that to compute the sum 80 E (* (0.6)k (0.1)10-k k=70 we would use the Maple command: sum (binomial (17 , k) * (0 . 6) ^k* (0. 1) * (10-k) , k=70. . 80) . Now use Maple to calculate the following probabilities to exactly two decimal places. If we toss a baised coin which has a 70% of getting a head (H ) then: i) The probabilty of getting 40 or more heads out of 50 tosses is ii) The probability of getting fewer than 18 heads out of 50 tosses is + iii) The probability of getting NV heads, where 20