A coin with probability p is tossed until the first head occurs. It is then tossed...
A coin with probability p is tossed until the first head occurs. It is then tossed again until the first tail occurs. Let X be the total number of tosses required.
1) Find the distribution function of X.
2) Find the mean and variance of X.
Homework Answers
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A coin with probability p is tossed until the first head occurs.
It is then tossed...
A coin with probability p of heads is tossed until the first head occurs. It is...
A coin with probability p of heads is tossed until the first head occurs. It is then tossed again until the first tail occurs. Let X be the total number of tosses required. (i) Find the distribution function of X. (ii) Find the mean and variance of X
E. A coin with probabiltiy p of heads is tossed till the first head occurs. It...
E. A coin with probabiltiy p of heads is tossed till the first head occurs. It 1S is then tossed again till the first tail occurs. Let X be the total number of tosses required (a) Find the PMF of X, (b) Find the mean and variance of X
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There are two steps in the description of this problem. First,
toss the coin until a head appears. Then, toss the coin until a
tail appears.
It is NOT "toss a coin until a head appears" problem.
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A coin with probability p of heads is tossed until the first head occurs. It is then tossed again until the first tail occurs. Let X be the total number of tosses required (i) Find the distribution function of X (ii)...
A biased coin is tossed until a head occurs. If the probability of heads on any...
A biased coin is tossed until a head occurs. If the probability of heads on any given toss is .4, What is the probability that it will take 7 tosses until the first head occurs? The answer i got was , (.60)^2(.40) Now for the second part it says, what is the probability that it will take 9 tosses until the second head occurs. Is the answer for this part be 9C2(.40)^2(.60)^7 or 8C1(.40)(.60)^5 I can't figure out if its...
a fair coin is tossed until either a head turns up or 3 tosses are made....
a fair coin is tossed until either a head turns up or 3 tosses are made. let x be no of heads which occur and let y be no of tails. find expected value and variance of x and y
QUESTION 8 Problem 8) A fair coin is tossed 20 times. A fair coin means that...
QUESTION 8 Problem 8) A fair coin is tossed 20 times. A fair coin means that the probability of getting a head is the same as the probability of getting a tail. Let X be the number of coins of getting head. Note that there are only two possible outcomes: getting head or tail after tossing the coin. X follows a binomial distribution with n=20, p=0.5. Answer the following questions. (Question) Find the expected value of X, E(X). QUESTION 9...
A coin will be tossed multiple times. Probability of head is 1/2, and probability of tail is 1/2....
A coin will be tossed multiple times. Probability of head is 1/2, and probability of tail is 1/2. they are independent from each other. X is a random variable that counts how often the coin must be tossed until the first head appears. calculate for all k=1,2,3,..., how big the probability is for: i) X=k ii) X>k iii) X<k
Example: A coin is tossed twice. Let X denote the number of head on the first...
Example: A coin is tossed twice. Let X denote the number of head on the first toss and Y denote the total number of heads on the 2tosses. Construct the join probability mass function of X and Y is given below and answer the following questions. f(x, y) x Row Total 0 1 y 0 1 2 Column Total (a) Find P(X = 0,Y <= 1) (b) Find P(X + Y = 2) (c) Find P(Y ≤ 1) (d)...
QUESTION 9 4 Problem 9) A fair coin is tossed 20 times. A fair coin means...
QUESTION 9 4 Problem 9) A fair coin is tossed 20 times. A fair coin means that the probability of getting a head is the same as the probability of getting a tail. Let X be the number of coins of getting head. Note that there are only two possible outcomes: getting head or tail after tossing the coin X follows a binomial distribution with n -20.p=0.5. Answer the following questions. (Question) Find the variance of X, Var(X).
Problem 10) A fair coin is tossed 20 times. A fair coin means that the probability...
Problem 10) A fair coin is tossed 20 times. A fair coin means that the probability of getting a head is the same as the probability of getting a tril. Let X be the number of coins of getting head. Note that there are only two possible outcomes: getting head or tail after tossing the coin X follows a binomial distribution with n =20, p=0.5. Answer the following questions (Question) Find PX-17).
A coin with probability p of heads is tossed until the first head occurs. It is then tossed again until the first tail occurs. Let X be the total number of tosses required. (i) Find the distribution function of X. (ii) Find the mean and variance of X
E. A coin with probabiltiy p of heads is tossed till the first head occurs. It 1S is then tossed again till the first tail occurs. Let X be the total number of tosses required (a) Find the PMF of X, (b) Find the mean and variance of X
=======================================================================================================================================================================================================================================================================================
There are two steps in the description of this problem. First,
toss the coin until a head appears. Then, toss the coin until a
tail appears.
It is NOT "toss a coin until a head appears" problem.
=======================================================================================================================================================================================================================================================================================
A coin with probability p of heads is tossed until the first head occurs. It is then tossed again until the first tail occurs. Let X be the total number of tosses required (i) Find the distribution function of X (ii)...
QUESTION 8 Problem 8) A fair coin is tossed 20 times. A fair coin means that the probability of getting a head is the same as the probability of getting a tail. Let X be the number of coins of getting head. Note that there are only two possible outcomes: getting head or tail after tossing the coin. X follows a binomial distribution with n=20, p=0.5. Answer the following questions. (Question) Find the expected value of X, E(X). QUESTION 9...
QUESTION 9 4 Problem 9) A fair coin is tossed 20 times. A fair coin means that the probability of getting a head is the same as the probability of getting a tail. Let X be the number of coins of getting head. Note that there are only two possible outcomes: getting head or tail after tossing the coin X follows a binomial distribution with n -20.p=0.5. Answer the following questions. (Question) Find the variance of X, Var(X).
Problem 10) A fair coin is tossed 20 times. A fair coin means that the probability of getting a head is the same as the probability of getting a tril. Let X be the number of coins of getting head. Note that there are only two possible outcomes: getting head or tail after tossing the coin X follows a binomial distribution with n =20, p=0.5. Answer the following questions (Question) Find PX-17).
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