Answer:-
You toss a coin 1000 times The probability that a coin comes up
heads 12 times in 12 tosses is Biased.
You toss a coin 1000 times The probability that a coin comes up heads 12 times...
A special novelty coin has a probability of 0.89 of coming up heads. In 12 tosses of this coin: a) What is the probability the coin comes up heads exactly 10 times? Round your response to at least 3 decimal places. b) What is the probability the coin comes up heads more than 10 times? Round your response to at least 3 decimal places.
You toss a penny and observe whether it lands heads up or tails up. Suppose the penny is fair, i.e., the probability of heads is 1/2 and the probability of tails is y. This means every occurrence of a head must be balanced by a tail in one of the next two or three tosses. if I flip the coin many, many times, the proportion of heads will be approximately %, and this proportion will tend to get closer and...
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?
Suppose that I toss a fair coin 100 times. Write 'p-hat' for the proportion of Heads in the 100 tosses. What is the approximate probability that p-hat is greater than 0.6? 0.460 0.023 0.540 We can't do the problem because we don't know the probability that the coin lands Heads uppermost 0.977
You have in your pocket two coins, one bent (comes up heads with probability 3/4) and one fair (comes up heads with probability 1/2). Not knowing which is which, you choose one at random and toss it. If it comes up heads you guess that it is the biased coin (reasoning that this is the more likely explanation of the observation), and otherwise you guess it is the fair coin. A) What is the probability that your guess is wrong?
On a single toss of a fair coin, the probability of heads is 0.5 and the probability of tails is 0.5. If you toss a coin twice and get heads on the first toss, are you guaranteed to get tails on the second toss? Explain.Explain why – 0.41 cannot be the probability of some event.Explain why 1.21 cannot be the probability of some event.Explain why 120% cannot be the probability of some event.Can the number 0.56 be the probability of...
If we repeatedly toss a balanced coin, then, in the long run, it will come up heads about half the time. But what is the probability that such a coin will come up heads exactly half the time in 26 tosses?
4. Toss a fair coin 6 times and let X denote the number of heads that appear. Compute P(X ≤ 4). If the coin has probability p of landing heads, compute P(X ≤ 3) 4. Toss a fair coin 6 times and let X denote the number of heads that appear. Compute P(X 4). If the coin has probability p of landing heads, compute P(X < 3).
A coin with unknown probability, θ of heads is tossed four times and you are told that heads appeared fewer than 2 times. That's all you know. Compute the probability that a next toss will be heads assuming a uniform prior for θ.
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?