Homework Answers
here let number of coins flipped are n
therefore P(at least one coin shows head)=1-P(no coin shows heads)=1-(0.86)n
hence profit P=1000*(1-(0.86)n)-1.5n
for above to maximize;
number of coins to be flipped =31
maximum expected profit =$944.18
Add Answer to:
(1 point) Consider a game played by flipping biased coins where the probability of heads is...
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?
There are two coins, one fair and one biased (the probability of obtained a tails being...
There are two coins, one fair and one biased (the probability of obtained a tails being 0.2 - i.e., P[T] = 0:2). A game is played by successively flipping the coins as follows: The game begins with a flip of the fair coin, and the result, H or T, is noted; If the result of the flip is T, then the other coin is used on the next flip, and the result is noted; If the result of a flip...
Suppose C1;C2;C3 are three didifferent biased coins, whose probability of heads equals 0.4, 0.5, and 0.2...
Suppose C1;C2;C3 are three didifferent biased coins, whose probability of heads equals 0.4, 0.5, and 0.2 respectively. Suppose coins are placed together in a box and you randomly picked a coin from the box. Flip the coin 10 times. Let A denote the event you randomly chose coin C1. Let B denote the event that you got exactly 4 heads out of the 10 coin flips. Compute the following probabilities: P(A∩B) P(B) P(A|B)
You have in your pocket two coins, one bent (comes up heads with probability 3/4) and...
You have in your pocket two coins, one bent (comes up heads with probability 3/4) and one fair (comes up heads with probability 1/2). Not knowing which is which, you choose one at random and toss it. If it comes up heads you guess that it is the biased coin (reasoning that this is the more likely explanation of the observation), and otherwise you guess it is the fair coin. A) What is the probability that your guess is wrong?
1. You have three different coins where the probabilities of getting heads are 0.5, 0.7, and...
1. You have three different coins where the probabilities of getting heads are 0.5, 0.7, and 0.2 respectively You plan to flip each coin and count the total number of heads. You're curious what the probability of getting exactly two heads is. [1 point a. Explain why you cannot use the Binomial model for this situation. [3 points] b. Show that the probability of getting exactly two heads is 0.38. Define any events you want to use in words. c....
Probability Puzzle 3: Flipping Coins If you flip a coin 3 times, the probability of getting...
Probability Puzzle 3: Flipping Coins
If you flip a coin 3 times, the probability of getting any sequence is identical (1/8). There are 8 possible sequences: HHH, HHT, HTH, HTT, THH, THT, TTH, TTT Let's make this situation a little more interesting. Suppose two players are playing each other. Each player choses a sequence, and then they start flipping a coin until they get one of the two sequences. We have a long sequence that looks something like this: HHTTHTTHTHTTHHTHT.......
Consider a game in which a coin will be flipped three times. For each heads you will be paid $100. Assume that the...
Consider a game in which a coin will be flipped three times. For each heads you will be paid $100. Assume that the coin comes up heads with probability 1/3. a. Construct a table of the possibilities and probabilities in this game. Probability Outcome Possibilities 0 heads, 3 tails / 1 heads, 2 tails 2 2 heads, 1 tails 3 3 heads, 0 tails b. Compute the expected value of the game. The expected value of the game is $...
Consider a game in which a coin will be flipped three times. For each heads you...
Consider a game in which a coin will be flipped three times. For each heads you will be paid $100. Assume that the coin comes up heads with probability 1/3. a. Construct a table of the possibilities and probabilities in this game. Probability Outcome Possibilities 0 heads, 3 tails / 1 heads, 2 tails 2 2 heads, 1 tails 3 3 heads, 0 tails b. Compute the expected value of the game. The expected value of the game is $...
You have five coins in your pocket. You know a priori that one coin gives heads with probability 0.4, and the other four coins give heads with probability 0.7 You pull out one of the five coins at ra...
You have five coins in your pocket. You know a priori that one coin gives heads with probability 0.4, and the other four coins give heads with probability 0.7 You pull out one of the five coins at random from your pocket (each coin has probability 릊 of being pulled out), and you want to find out which of the two types of coin it is. To that end, you flip the coin 6 times and record the results X1...
Problem 3. You play a game where you first choose a positive integer flip a fair...
Problem 3. You play a game where you first choose a positive integer flip a fair coinn times. You win a prize if you get exactly 2 heads. How should you choose n to maximize your chance of winning? What is the chance if winning with optimal choice of n? There are two equally good choices for the best n. Find both n and then an
1. You have three different coins where the probabilities of getting heads are 0.5, 0.7, and 0.2 respectively You plan to flip each coin and count the total number of heads. You're curious what the probability of getting exactly two heads is. [1 point a. Explain why you cannot use the Binomial model for this situation. [3 points] b. Show that the probability of getting exactly two heads is 0.38. Define any events you want to use in words. c....
Probability Puzzle 3: Flipping Coins
If you flip a coin 3 times, the probability of getting any sequence is identical (1/8). There are 8 possible sequences: HHH, HHT, HTH, HTT, THH, THT, TTH, TTT Let's make this situation a little more interesting. Suppose two players are playing each other. Each player choses a sequence, and then they start flipping a coin until they get one of the two sequences. We have a long sequence that looks something like this: HHTTHTTHTHTTHHTHT.......
Consider a game in which a coin will be flipped three times. For each heads you will be paid $100. Assume that the coin comes up heads with probability 1/3. a. Construct a table of the possibilities and probabilities in this game. Probability Outcome Possibilities 0 heads, 3 tails / 1 heads, 2 tails 2 2 heads, 1 tails 3 3 heads, 0 tails b. Compute the expected value of the game. The expected value of the game is $...
Consider a game in which a coin will be flipped three times. For each heads you will be paid $100. Assume that the coin comes up heads with probability 1/3. a. Construct a table of the possibilities and probabilities in this game. Probability Outcome Possibilities 0 heads, 3 tails / 1 heads, 2 tails 2 2 heads, 1 tails 3 3 heads, 0 tails b. Compute the expected value of the game. The expected value of the game is $...
You have five coins in your pocket. You know a priori that one coin gives heads with probability 0.4, and the other four coins give heads with probability 0.7 You pull out one of the five coins at random from your pocket (each coin has probability 릊 of being pulled out), and you want to find out which of the two types of coin it is. To that end, you flip the coin 6 times and record the results X1...
Problem 3. You play a game where you first choose a positive integer flip a fair coinn times. You win a prize if you get exactly 2 heads. How should you choose n to maximize your chance of winning? What is the chance if winning with optimal choice of n? There are two equally good choices for the best n. Find both n and then an
Most questions answered within 3 hours.
-
Explain some different types of fungi. State the different
divisions undergo by fungi.
asked 6 minutes ago -
The shortest time that 120 C can flow through a 20 A circuit
breaker without tripping...
asked 7 minutes ago -
A software design pattern is a general, reusable solution to a
commonly occurring problem, acting as...
asked 10 minutes ago -
The mean waiting time at the drive-through of a fast-food
restaurant from the time an order...
asked 26 minutes ago -
The pitch (p) of a helix is defined as p = dn, in which n is...
asked 28 minutes ago -
Do you agree that the declining stock of social capital is the
blame for the failure...
asked 32 minutes ago -
A researcher is interested in whether coffee consumption helps
with performance on reading comprehension tasks. The...
asked 41 minutes ago -
it has been estimated since the beginning of the human race that
about 133 metric ton...
asked 47 minutes ago -
Where must Medicare prescription drug plans allow for
participants to fill their prescriptions?
asked 50 minutes ago -
Five moles of monatomic ideal gas have initial pressure 2.50 ×
103 Pa and initial volume...
asked 1 hour ago -
A resistor and the capacitor are used to control the timing in
the RC circuit of...
asked 1 hour ago -
Living in a group could bring several disadvantages to an
individual. What are some of the...
asked 1 hour ago