When a coin is flipped 3 times, what is the Probability that you get at least...
When a coin is flipped 3 times, there are a total of possible different sequence outcomes available (Example of a possible sequence outcome includes Heads-Heads-Heads as one outcome. Be sure to think about all variations that are possible here for flip#1-flip#2-flip#3. 2 O 8 O
Problem 1 (5 points) A coin is flipped four times. Assume that each of the sixteen possible outcomes {0000, 1000, 0100, 1100, 0010, 1010, 0110, 1110, 0001, 1001,0101, 1101,0011, 1011, 0111, 1111} are equally likely. What is the conditional probability that all flips are heads, given the following information: (a) the first flip is heads? (b) the last flip is heads? (©) at least one flip is heads? (d) at least two flips are heads? (e) the first flip and...
Answer part a and part b
please!!!
(a) What is the conditional probability that exactly four Tails appear w when a fair coin is flipped six times, given that the first flip came up Heads? (I.e. the coin , then is flipped five more times with Tails appearing exactly lour times.) (b) What if the coin is biased so that the probability of landing Heads is 1/3? (Hint: The binomial distribution might be helpful here.)
(a) What is the conditional...
TEAFM2 4.6.024 A fair coin is flipped four times. least three times? What is the probability that heads occurs exactly 3 times if it is known that heads occurs at
when coin 2 is flipped it lands on heads with When coin 1 is flipped, it lands on heads with probability probability (a) If coin 1 is flipped 12 times, find the probability that it lands on heads at least 10 times. (b) If one of the coins is randomly selected and flipped 9 times, what is the probability that it lands on heads exactly 6 times? (c) In part (b), given that the first of these 9 flips lands...
Suppose you just flipped a fair coin 8 times in a row and you got heads each time! What is the probability that the next coin flip will result in a heads? Write answer as a decimal and round to 1 place after the decimal point.
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?
2. A coin is altered so that the p coin is flipped three times as altered so that the probability of getting a head on every flip is 0.6. Suppose this (*) is flipping the coin a binomial experiment? Explain by checking if the four properties of binomial experiments are satisfied. (b) What is the probability that there are at least two heads? (c) What is the probability that an odd number of heads turn out in 3 flips? (d)...
What is the probability of getting 2 heads when a fair coin is flipped 4 times?
You suspect that a coin is biased such that the probability heads is flipped (instead of tails) is 52%. You flip the coin 51 times and observe that 31 of the coin flips are heads. The random variable you are investigating is defined as X = 1 for heads and X = 0 for tails, and you wish to perform a "Z-score" test to test the null hypothesis that H0: u = 0.52 vs. the alternative hypothesis Ha: u > 0.52....