Coin 1 comes up heads with probability 0.6 and coin 2 with probability 0.5. A coin...

Coin 1 comes up heads with probability 0.6 and coin 2 with probability 0.5. A coin is continually ﬂipped until it comes up tails, at which time that coin is put aside and we start ﬂipping the other one. (a) What proportion of ﬂips use coin 1? (b) If we start the process with coin 1 what is the probability that coin 2 is used on the ﬁfth ﬂip? (c) What proportion of ﬂips land heads?

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orchestra answered 1 year ago

Your unfair coin comes up heads with probability 0.6. You flip it until you get four...

Your unfair coin comes up heads with probability 0.6. You flip it until you get four heads in a row. Let t be the expected number of times you flip. Write an equation for t. (Your equation, if solved, should give the value of t).

30.Consider a coin that comes up heads with probability p and tails with probability 1 −...

30.Consider a coin that comes up heads with probability p and tails with probability 1 − p. Let qn be the probability that after n independent tosses, there have been an even number of heads. Derive a recursion that relates qn to qn−1, and solve this recursion to establish the formula qn = 1 + (1 − 2p) n 2 Using method other than Mathematical Induction

Please give detailed solution for this Coin 1 comes up heads with probability .3, whereas coin...

Please give detailed solution for this Coin 1 comes up heads with probability .3, whereas coin 2 comes up heads with probability .6. A coin is randomly chosen and flipped 10 times. (a) Find the probability the first flip lands heads. (b) Find the expected number of heads in the 10 flips. (c) Find the probability that there are a total of 7 heads.

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Suppose that coin 1 has probability 0.8 of coming up heads, and coin 2 has probability...

Suppose that coin 1 has probability 0.8 of coming up heads, and coin 2 has probability 0.6 of coming up heads. If the coin flipped today comes up heads, then with equal probability we select coin 1 or coin 2 to flip tomorrow, and if it comes up tails, then we select coin 2 to flip tomorrow. (a) If the coin initially flipped is coin 1, what is the probability that the coin flipped on the second day after the...

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Find the expected number of flips of a coin, which comes up heads with probability p, that are necessary to obtain the pattern h, t, h, h, t, h, t, h. This is from Sheldon/Ross Introduction to Probability models 11th edition Chapter 3#91. I know there is the textbook solution manual on Chegg, but I am not able to make sense of the solution. I would greatly appreciate if anyone can help me make sense of it!

1. Amy tosses 12 biased coins. Each coin comes up heads with probability 0.2. What is...

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A bias coin has the probability 2/3 of turning up heads. The coin is thrown 4...

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Suppose a coin is weighted so the probability of heads is really 0.6. Find the exact...

Suppose a coin is weighted so the probability of heads is really 0.6. Find the exact sampling distribution of the sample proportion of 3 flips of the coin that are heads.

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