You wish to see whether a coin is fair, so you toss it 4 times and get 2 Heads. Can you conclude the coin is fair?
You wish to see whether a coin is fair, so you toss it 4 times and...
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).
You toss a fair coin 4 times. What is the probability that (round to 4 decimal places) a) you get all Tails? b) you get at least one Head?
How many times do you need to toss a fair coin in order to get 100 heads with probability at least 0.9?
If you toss a fair coin 4 times, what is the probability that you get at least one tails result? (Round your answer to three decimal places.)
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...
You toss a coin four times and get no heads. The p-value for the null hypothesis that the coin is fair is: Question options: 10% 25% 5% 6.25%
11. What are the possible combination outcomes when you toss a fair coin three times? (6.25 points) H = Head, T = Tail a {HHH, TTT) Ob. (HHH, TTT, HTH, THT) c. {HHH, TTT, HTH, THT, HHT, TTH, THH) d. (HHH, TTT, HTH, THT, HHT, TTH, THH, HTT} e. None of these 12. What is the probability of you getting three heads straight for tossing a fair coin three times? (6.25 points) a. 1/2 OD. 1/4 C. 118 d. 1/16...
If we toss a fair coin 50 times what is the likelihood that we land on heads 30 times or more in percentage?
2. SUPPLEMENTAL QUESTION 1 (a) Toss a fair coin so that with probability pheads occurs and with probability p tails occurs. Let X be the number of heads and Y be the number of tails. Prove X and Y are dependent (b) Now, toss the same coin n times, where n is a random integer with Poisson distribution: n~Poisson(A) Let X be the random variable counting the number of heads, Y the random variable counting the number of tails. Prove...
A fair coin is tossed n times. Each coin toss costs d dollars and the reward in obtaining X heads is aX2 +bX. Find the expected value of the net reward.