Suppose you have an unfair coin that is weighted so that heads comes up only 30...
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?
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Suppose you have an unfair coin that is weighted so that heads
comes up only 30...
Tom has three coins. Two are fair and one is unfair coin weighted so that heads...
Tom has three coins. Two are fair and one is unfair coin weighted so that heads is three times as likely as tails. He selects one of the coins at random and flips it. What is the probability it comes up heads? If it does come up heads, what is the probability it was the unfair coin?
(a) [15 points] Suppose you have a weighted coin in which heads comes up with probability...
(a) [15 points] Suppose you have a weighted coin in which heads comes up with probability 3/4 and tails with probability 4. If you flip heads you win $2, but if you flip tails, you lose $1. What is the expected value of a coin flip?
2. Binomial Distribution Suppose I have an unfair coin, it lands on heads 75% of the...
2. Binomial Distribution Suppose I have an unfair coin, it lands on heads 75% of the time. If I flip this coin four times, what is the probability that I will get only 1 heads? What is the mean for number of heads? Variance? Standard Deviation?
A coin is weighted so that there is a 60.4% chance of it landing on heads...
A coin is weighted so that there is a 60.4% chance of it landing on heads when flipped. The coin is flipped 13 times. Find the probability that at least 8 of the flips resulted in "heads". Round your answer to 4 decimal places.
You have a biased coin, where the probability of flipping a heads is 70%. You flip...
You have a biased coin, where the probability of flipping a heads is 70%. You flip once, and the coin comes up tails. What is the expected number of flips from that point (so counting that as flip #0) until the number of heads flipped in total equals the number of tails?
a coin is weighted so that there is a 59.1% chance of it landing on heads...
a coin is weighted so that there is a 59.1% chance of it landing on heads when flipped. the coin is flipped 13 times find the probability that the number of flips resulting in heads is at least 5 and at most 10
A coin is weighted so that there is a 64.6% chance of it landing on heads...
A coin is weighted so that there is a 64.6% chance of it landing on heads when flipped. The coin is flipped 13 times. Find the probability that the number of flips resulting in "heads" is at least 5 and at most 10.
If an unfair coin comes up heads 60% of the time and tails 40% of the...
If an unfair coin comes up heads 60% of the time and tails 40% of the time, what is the expectation if heads is valued at 1 and tails is valued at -1?
A coin is weighted so that there is a 65% chance that it will come up...
A coin is weighted so that there is a 65% chance that it will come up "heads" when flipped. The coin is flipped four times. Find the probability of at least one of the flips resulting in "tails". Round your answer to four decimal places.
A coin is weighted so that it has a 70% chance of landing heads up when...
A coin is weighted so that it has a 70% chance of landing heads up when flipped. In a sequence of 10 independent flips, let X be the number of flips where the coin lands face up. What type of distribution does X have? Write the probability mass function for X. Find P(X = 6). [use ti84 calculator]
(a) [15 points] Suppose you have a weighted coin in which heads comes up with probability 3/4 and tails with probability 4. If you flip heads you win $2, but if you flip tails, you lose $1. What is the expected value of a coin flip?
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