Question

X is howmany tossed to get n heads in a row find expected value of xx of biases coin

Answer 1

f we flip three fair coins and let X = the number of heads, we know that x = 0, 1, 2, 3. We also know that since the coin is fair, each of the strands in the tree diagram shown earlier is equally likely. Since there are 8 total outcomes (HHH, HHT, HTH, etc), the probability distribution would look something like this:

f we flip three fair coins and let X = the number of heads, we know that x = 0, 1, 2, 3. We also know that since the coin is fair, each of the strands in the tree diagram shown earlier is equally likely. Since there are 8 total outcomes (HHH, HHT, HTH, etc), the probability distribution would look something like this:x P(x)

f we flip three fair coins and let X = the number of heads, we know that x = 0, 1, 2, 3. We also know that since the coin is fair, each of the strands in the tree diagram shown earlier is equally likely. Since there are 8 total outcomes (HHH, HHT, HTH, etc), the probability distribution would look something like this:x P(x)0 1/8

f we flip three fair coins and let X = the number of heads, we know that x = 0, 1, 2, 3. We also know that since the coin is fair, each of the strands in the tree diagram shown earlier is equally likely. Since there are 8 total outcomes (HHH, HHT, HTH, etc), the probability distribution would look something like this:x P(x)0 1/81 3/8

f we flip three fair coins and let X = the number of heads, we know that x = 0, 1, 2, 3. We also know that since the coin is fair, each of the strands in the tree diagram shown earlier is equally likely. Since there are 8 total outcomes (HHH, HHT, HTH, etc), the probability distribution would look something like this:x P(x)0 1/81 3/82 3/8

f we flip three fair coins and let X = the number of heads, we know that x = 0, 1, 2, 3. We also know that since the coin is fair, each of the strands in the tree diagram shown earlier is equally likely. Since there are 8 total outcomes (HHH, HHT, HTH, etc), the probability distribution would look something like this:x P(x)0 1/81 3/82 3/83 1/8

f we flip three fair coins and let X = the number of heads, we know that x = 0, 1, 2, 3. We also know that since the coin is fair, each of the strands in the tree diagram shown earlier is equally likely. Since there are 8 total outcomes (HHH, HHT, HTH, etc), the probability distribution would look something like this:x P(x)0 1/81 3/82 3/83 1/8You'll notice that if we find the sum of the P(x) values, we get 1.