Imagine a large bag, full of thousands of marbles (enough marbles that drawing some does not...
Imagine a large bag, full of thousands of marbles (enough marbles that drawing some does not change the proportion of red and blue marbles). One-quarter of these marbles are red (p=0.25), and three-quarters of the marbles are blue (q=0.75). One could use the expansion above, i.e., (p + q)5, to determine the probabilities for each possible combination of 5 marbles that could be drawn:
: Estimate the probability of getting 2 red marbles in a draw of 8 marbles from the bag described above. Estimate the probability of getting any combination of marbles other than 2 red and 6 blue from a draw of 8 marbles from the same bag. What does this probability tell you about sampling error with small sample sizes?
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Imagine a large bag, full of thousands of marbles
(enough marbles that drawing some does not...
(Adapted from Tolga Tasdizen): We have a bag with 5 red marbles and 9 blue marbles....
(Adapted from Tolga Tasdizen): We have a bag with 5 red marbles
and 9 blue marbles. You draw three marbles out of the bag without
replacement.
(a) What is the probability that you got a red, blue, and red
marble in that order? Hint: use the multiplication rule to get the
size of the sample space (and size of the event set) as if the
marbles were distinguishable.
(b) What is the probability of not getting any blue marbles?
(c)...
Probabilities - There are 4 marbles in a bag to choose from Blue, Red, Green, and...
Probabilities - There are 4 marbles in a bag to choose from Blue, Red, Green, and Purple. You are to select 1 marble, put it back in the bag, and then select the second marble. Draw a tree diagram for this situation. What is the probability of choosing your favorite color two times in the row? - There are 4 marbles in a bag to choose from: Blue, Red, Green, and Purple. You are to select 1 marble, keep it,...
3. (15 pointa) A bag contains 7 red marbles and 3 bue marbles Five martle are...
3. (15 pointa) A bag contains 7 red marbles and 3 bue marbles Five martle are draw from the beg with placement Consider the random variable R-the number of red marbles selected B-the number of blue marbles selected 7+3= 10 (a) What are the possible values of each of the following discrete random variables? ponsible values of R: possible values of B: possible values of R+ B: (b) Explain why R is a binomial random variable with n=5 and p-0.7....
Answers for all questions please!! 8) A bag contains 10 red marbles and 8 green marbles....
Answers for all questions please!!
8) A bag contains 10 red marbles and 8 green marbles. Anne picks 3 replacement, and observes the color of each marble. The number of green binomial random variable. If we let success correspond to getting success probability, p?What is the number of trials? marbles at random, with 8) marbles, X, is a a green marble, what is the A) P- n3 Solve the problem. 9) One hundred people were asked, "Do you favor the...
discrete math 1) a. A box contains 4 marbles: 1 red, 1 blue, 1 green, 1...
discrete math
1) a. A box contains 4 marbles: 1 red, 1 blue, 1 green, 1 yellow. Consider an experiment that consists of taking 1 marble from the box, replacing it and then drawing a second marble. Describe the sample space. How does the sample space differ if the first marble was not replaced before the second marble was drawn? (2 marks) a. A bag contains 5 red balls and 8 blue balls. Each time a ball is selected, its...
1. We roll two fair 6-sided dice. Compute the probabilities of the following events. (a) The...
1. We roll two fair 6-sided dice. Compute the probabilities of the following events. (a) The sum is at most 6. (b) The sum is more than 6. (c) The sum is at most 6 and at least one die is a 4. 2. Consider the letters a,b,c. Suppose we draw 2 of the letters at random (allowing for repetition). Assume order matters. That is, ab is not the same as ba: Let A : The 2 letters are distinct....
10. A jar has two nickels, three quarters, and a half-dollar coin in it. Three coins...
10. A jar has two nickels, three quarters, and a half-dollar coin in it. Three coins are randomly drawn. a. (4) List the simple events in the sample space if order does not matter. You may use a code such as N= nickel 1, n= nickel 2, Q = quarter 1, q = quarter 2, p = quarter 3, and H = the half-dollar coin. b. (2) Show how to use a permutation or a combination formula to determine the...
A jar has two nickels, three quarters, and a half-dollar coin in it. Three coins are...
A jar has two nickels, three quarters, and a half-dollar coin in it. Three coins are randomly drawn. (4) List the simple events in the sample space if order does not matter. You may use a code such as N = nickel 1, n = nickel 2, Q = quarter 1, q = quarter 2, p = quarter 3, and H = the half-dollar coin. (2) Show how to use a permutation or a combination formula to determine the number...
Problem 1: Drawing from an Urn (no posted data set) We will be comparing empirical probabilities...
Problem 1: Drawing from an Urn (no posted data set) We will be comparing empirical probabilities (relative frequencies based on an observation of a real-life process) to theoretical probabilities (long-run relative frequency). We will use StatCrunch to simulate this process of drawing colored balls from an urn without replacement. Imagine this urn has 50 total balls, 18 of which are red and 32 of which are green. You draw 6 balls from the urn and we are interested in the...
27. How does studying the math in the exercise today help you understand evolution? Explain in...
27. How does studying the math in the exercise today help you understand evolution? Explain in your own words. 28. You have a population of mice with in your lab, some have red eyes and some have black eyes. Black is dominant to red. In generation #1 you have 9 red eyed mice and 81 black eyed mice. Given that you only know the phenotypes, estimate the values below. SHOW YOUR WORK! (90) a. q? (the frequency of red eyed...
(Adapted from Tolga Tasdizen): We have a bag with 5 red marbles
and 9 blue marbles. You draw three marbles out of the bag without
replacement.
(a) What is the probability that you got a red, blue, and red
marble in that order? Hint: use the multiplication rule to get the
size of the sample space (and size of the event set) as if the
marbles were distinguishable.
(b) What is the probability of not getting any blue marbles?
(c)...
3. (15 pointa) A bag contains 7 red marbles and 3 bue marbles Five martle are draw from the beg with placement Consider the random variable R-the number of red marbles selected B-the number of blue marbles selected 7+3= 10 (a) What are the possible values of each of the following discrete random variables? ponsible values of R: possible values of B: possible values of R+ B: (b) Explain why R is a binomial random variable with n=5 and p-0.7....
Answers for all questions please!!
8) A bag contains 10 red marbles and 8 green marbles. Anne picks 3 replacement, and observes the color of each marble. The number of green binomial random variable. If we let success correspond to getting success probability, p?What is the number of trials? marbles at random, with 8) marbles, X, is a a green marble, what is the A) P- n3 Solve the problem. 9) One hundred people were asked, "Do you favor the...
discrete math
1) a. A box contains 4 marbles: 1 red, 1 blue, 1 green, 1 yellow. Consider an experiment that consists of taking 1 marble from the box, replacing it and then drawing a second marble. Describe the sample space. How does the sample space differ if the first marble was not replaced before the second marble was drawn? (2 marks) a. A bag contains 5 red balls and 8 blue balls. Each time a ball is selected, its...
10. A jar has two nickels, three quarters, and a half-dollar coin in it. Three coins are randomly drawn. a. (4) List the simple events in the sample space if order does not matter. You may use a code such as N= nickel 1, n= nickel 2, Q = quarter 1, q = quarter 2, p = quarter 3, and H = the half-dollar coin. b. (2) Show how to use a permutation or a combination formula to determine the...
27. How does studying the math in the exercise today help you understand evolution? Explain in your own words. 28. You have a population of mice with in your lab, some have red eyes and some have black eyes. Black is dominant to red. In generation #1 you have 9 red eyed mice and 81 black eyed mice. Given that you only know the phenotypes, estimate the values below. SHOW YOUR WORK! (90) a. q? (the frequency of red eyed...
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