Suppose you have an unfair coin that is weighted so that heads comes up only 30 percent of the time. If you flip the coin 4 times, what is the probability that you obtain at least 3 heads in the 4 flips?
Suppose you have an unfair coin that is weighted so that heads comes up only 30...
(a) [15 points] Suppose you have a weighted coin in which heads comes up with probability 3/4 and tails with probability 4. If you flip heads you win $2, but if you flip tails, you lose $1. What is the expected value of a coin flip?
A coin is weighted so that there is a 60.4% chance of it landing on heads when flipped. The coin is flipped 13 times. Find the probability that at least 8 of the flips resulted in "heads". Round your answer to 4 decimal places.
You have a biased coin, where the probability of flipping a heads is 70%. You flip once, and the coin comes up tails. What is the expected number of flips from that point (so counting that as flip #0) until the number of heads flipped in total equals the number of tails?
a coin is weighted so that there is a 59.1% chance of it landing on heads when flipped. the coin is flipped 13 times find the probability that the number of flips resulting in heads is at least 5 and at most 10
A coin is weighted so that there is a 65% chance that it will come up "heads" when flipped. The coin is flipped four times. Find the probability of at least one of the flips resulting in "tails". Round your answer to four decimal places.
A coin is weighted so that it has a 70% chance of landing heads up when flipped. In a sequence of 10 independent flips, let X be the number of flips where the coin lands face up. What type of distribution does X have? Write the probability mass function for X. Find P(X = 6). [use ti84 calculator]
a coin is weighted so that there is a 61.7% chance of it landing on heads when flipped. the coin us flipped 16 times. find the probability that exactly 6 of the flips resulted in heads
A coin that comes up heads with probability p is flipped n consecutive times. What is the probability that starting with the first flip there are always more heads than tails that have appeared?
You have a biased coin where heads come up with probability 2/3 and tails come up with probability 1/3. 2. Assume that you flip the coin until you get three heads or one tail. (a) Draw the possibility tree. (b) What is the average number of flips? Use the possibility tree, and show your calculation. 2. Assume that you flip the coin until you get three heads or one tail. (a) Draw the possibility tree. (b) What is the average...
Suppose you flip a fair coin repeatedly until you see a Heads followed by another Heads or a Tails followed by another Tails (i.e. until you see the pattern HH or TT). (a)What is the expected number of flips you need to make? (b)Suppose you repeat the above with a weighted coin that has probability of landing Heads equal to p.Show that the expected number of flips you need is 2+p(1−p)/1−p(1−p)