Statistics Question
A couple decides to have 3 children. If none of the 3 is a girl, they will try again; and if they still don’t get a girl, they will try once more. If the random variable X denotes the number of children the couple will have following this scheme, then what is the expected value of X?
Homework Answers
A couple plans to have children until they get a girl, but they agree they will...
A couple plans to have children until they get a girl, but they agree they will not have more than three children, even if all are boys. Assume that the probability of having a girl is 0.51. Let X be a random variable indicating how many children the couple will have. Find the standard deviation of the random variable X. x 1 2 3 P(Xequalsx) 0.510 0.250 0.240
Discrete Math: A couple is planning to have a family. Let us assume that the probability...
Discrete Math:
A couple is planning to have a family. Let us assume that the probability of having a girl is 0.48 and a boy is 0.52, and that the gender of this couple's children are pairwise independent. They want to have at least one girl and at least one boy. At the same time, they know that raising too many kids is difficult. So here's what they plan to do: they'll keep trying to have children until they have...
2) A couple plans to have 5 children. Let the random variable, x, be the number...
2) A couple plans to have 5 children. Let the random variable, x, be the number of girls that will occur. Assume that a boy or a girl is equally likely to occur and that the sex of any successive child is unaffected by the previous brothers or sisters. a) Enter the probabilities in a table if the random variable, x, can take on values 0, 1, 2, 3, 4, and 5. b) Find the mean number of girls (expected...
A couple plans to have children until they get a girl, but they agree that they...
A couple plans to have children until they get a girl, but they agree that they will not have more than three children even if all are boys. (Assume boys and girls are equally likely.) a) Create a probability model for the number of children they might have. b) Find the expected number of children. c) Find the expected number of boys they’ll have.
Need help doing number 2, I thought it was a Discrete Uniform Distribution but I'm having second ...
Need help doing number 2, I thought it was a Discrete
Uniform Distribution but I'm having second thoughts.
(c) 0.5976 d) 0.7316 (ey 0.9862 94646 None of the above 2. A married couple decides that they will continue to have children until they have 4 boys. It is assumed that having a boy or a girl is equally likely. How many children does this couple expect to have until they have 4 boys? (a) 4 (c) 8.5 (d) 9 (e)...
A couple wants to have 2 boys and 2 girls. They will continuous to have children...
A couple wants to have 2 boys and 2 girls. They will continuous to have children until they have reached the goal. Assuming that the probability that they have 54% chance to have a boy and 46% chance to have a girl in every pregnancy. No twin or more are possible. Assuming that their goal is possible and has been fulfilled today! a. What is the probability that they have exactly two boys? b. What is the probability that they...
A couple decides to continue to have children until a daughter is born. What is the...
A couple decides to continue to have children until a daughter is born. What is the expected number of children this couple will have if the probability that a daughter is born is given by p? The expected number of children is given by- 1-p The expected number of children is given by The expected number of children is given by The expected number of children is given by p
Suppose that 20, 000 married adults in the United States were surveyed as to the number...
Suppose that 20, 000 married adults in the United States were surveyed as to the number of children they have. The results are compiled and used as theoretical probabilities. Let X equal the number of children, with PDF as per the table below. All entries are to be decimal values accurate to the nearest 0.01 P(x) x. P(x) Collapse Al 0.15 2 0.15 3 0.3 0.2 5 0.05 0.1 a. Complete the table above. b. Determine the expected value. EX]...
3. (PMF – 8 points) Consider a sequence of independent trials of fair coin tossing. Let...
3. (PMF – 8 points) Consider a sequence of independent trials of fair coin tossing. Let X denote a random variable that indicates the number of coin tosses you tried until you get heads for the first time and let y denote a random variable that indicates the number of coin tosses you tried until you get tails for the first time. For example, X = 1 and Y = 2 if you get heads on the first try and...
In c# create a program that generates a random number from 1 to 1000. Then, ask...
In c# create a program that generates a random number from 1 to 1000. Then, ask the user to guess the random number. If the user's guess is too high, then the program should print "Too High, Try again". If the user's guess is too low, then the program should print "Too low, Try again". Use a loop to allow the user to keep entering guesses until they guess the random number correctly. Once they figure it, congratulate the user....
Discrete Math:
A couple is planning to have a family. Let us assume that the probability of having a girl is 0.48 and a boy is 0.52, and that the gender of this couple's children are pairwise independent. They want to have at least one girl and at least one boy. At the same time, they know that raising too many kids is difficult. So here's what they plan to do: they'll keep trying to have children until they have...
Need help doing number 2, I thought it was a Discrete
Uniform Distribution but I'm having second thoughts.
(c) 0.5976 d) 0.7316 (ey 0.9862 94646 None of the above 2. A married couple decides that they will continue to have children until they have 4 boys. It is assumed that having a boy or a girl is equally likely. How many children does this couple expect to have until they have 4 boys? (a) 4 (c) 8.5 (d) 9 (e)...
A couple wants to have 2 boys and 2 girls. They will continuous to have children until they have reached the goal. Assuming that the probability that they have 54% chance to have a boy and 46% chance to have a girl in every pregnancy. No twin or more are possible. Assuming that their goal is possible and has been fulfilled today! a. What is the probability that they have exactly two boys? b. What is the probability that they...
A couple decides to continue to have children until a daughter is born. What is the expected number of children this couple will have if the probability that a daughter is born is given by p? The expected number of children is given by- 1-p The expected number of children is given by The expected number of children is given by The expected number of children is given by p
Suppose that 20, 000 married adults in the United States were surveyed as to the number of children they have. The results are compiled and used as theoretical probabilities. Let X equal the number of children, with PDF as per the table below. All entries are to be decimal values accurate to the nearest 0.01 P(x) x. P(x) Collapse Al 0.15 2 0.15 3 0.3 0.2 5 0.05 0.1 a. Complete the table above. b. Determine the expected value. EX]...
3. (PMF – 8 points) Consider a sequence of independent trials of fair coin tossing. Let X denote a random variable that indicates the number of coin tosses you tried until you get heads for the first time and let y denote a random variable that indicates the number of coin tosses you tried until you get tails for the first time. For example, X = 1 and Y = 2 if you get heads on the first try and...
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