If you set the true probability of heads to ,0.5, what should be the true probability of tails? true probability of tails: How many heads would you expect to observe after 10 tosses? number of heads: Perform this experiment. Set the probability of heads to,0.5, and observe how many heads you get after 10 tosses. number of heads after 10 tosses: If the true probability of heads is 0.5, how many heads would you expect to observe after 50 tosses? number of heads after 50 tosses: If the true probability of heads is 0.5, how many heads would you expect to observe after 500 tosses? number of heads after 500 tosses:
True probability of tails = 1 - True probability of heads
= 1 - 0.5 = 0.5
Number of heads expected after 10 tosses = 0.5*10 = 5
Number of heads observed after 10 tosses = 6
Number of heads expected to observe after 50 tosses = 50*0.5 = 25
Number of heads expected to observe after 500 tosses = 500*0.5 = 250
If you set the true probability of heads to ,0.5, what should be the true probability...
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...
You and a friend are talking about the probability of getting a heads on a single toss of a fair coin. Your friend insists that you are more likely to get a heads on a single toss of a fair coin than a tails. Is your friend correct, why or why not? If we were to toss the fair coin an infinite number of times, what would we expect?
Suppose that a legal coin has a 50% probability of flipping "heads" (Pheads = 0.5) and a 50% probability of flipping "tails" (Ptails = 0.5). If this legal coin is flipped nine times, what is the probability of flipping five heads and four tails in any order? Group of answer choices None of the answers provided here. 3.9% 9.2% 55.6% 12.6% 6.8% 24.6% 31.6%
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 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....
4. You toss n coins, each showing heads with probability p, independently of the other tosses. Each coin that shows tails is tossed again. Let X be the total number of tails (a) What type of distribution does X have? Specify its parameter(s). (b) What is the probability mass function of the total number of tails X?
What is the expected number of Tails until I get the third Heads in an infinite sequence of independent coin tosses with probability 1/2 for each?
What is the expected number of Tails until I get the third Heads in an infinite sequence of independent coin tosses with probability 1/2 for each?
Flip a coin 10 times and record the observed number of heads and tails. For example, with 10 flips one might get 6 heads and 4 tails. Now, flip the coin another 20 times (so 30 times in total) and again, record the observed number of heads and tails. Finally, flip the coin another 70 times (so 100 times in total) and record your results again. We would expect that the distribution of heads and tails to be 50/50. How...