Question 2 [Sans R You have four friends. Each of them will flip a fair coin...
Question 2 Suppose you have a fair coin (a coin is considered fair if there is an equal probability of being heads or tails after a flip). In other words, each coin flip i follows an independent Bernoulli distribution X Ber(1/2). Define the random variable X, as: i if coin flip i results in heads 10 if coin flip i results in tails a. Suppose you flip the coin n = 10 times. Define the number of heads you observe...
For this question, you will flip fair coin to take some samples and analyze them. First, take any fair coin and flip it 12 times. Count the number of heads out of the 12 flips. This is your first sample. Do this 4 more times and count the number of heads out of the 12 flips in each sample. Thus, you should have 5 samples of 12 flips each. The important number is the number of heads in each sample...
Coin Flips: If you flip a fair coin 5 times, what is the probability of each of the following? (please round all answers to 4 decimal places) a) getting all tails? b) getting all heads?
Question 3 [Sans R Say that you observe five random variables from the continuous uniform distribution on- to θ. This means that fe) -otherwise You actual data is 3.12,-4.53,9.05,-8.76 and 1.18. (a). What is the method of moments estimate of θ? (b). What is the maximum likelihood estimate of θ?
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...
you flip a coin 8 times and record the results using zero four heads and one for tails you find the variance is investigating the sample variance the same as investigating the sample distribution of the variance ?
If you flip a fair coin six times, what is the probability of having more heads than tails?
Suppose you flip an ordinary fair coin 60 times and amazingly it lands on heads every single time. What is the probability that on your next flip, it lands on tails?
You have flipped a fair coin 5 times and gotten a result of heads each time. What can you tell me about the probability of getting a result of heads on the 6th flip?
A box contains four coins. Three of the coins are fair, but one of them is biased, with P(11) = ? (where 11 is the event of flipping heads). You take a coin from the box and flip it. It comes up heads. What is the probability that you have flipped the biased coin?