Question

Consider the following two systems of Bernoulli trials: 1. A coin is tossed; heads is a...

Consider the following two systems of Bernoulli trials:

1. A coin is tossed; heads is a success.

2. A die is thrown; "six" is a success.

a. For each of 1 and 2, find the ratio P(A)/P(B), where: A is "The third success occurs on the fifth trial! B is "Three of the first five trials result in success."

b. Generalize, replacing three by i and five by j.

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A biased coin (one that is not evenly balanced) is tossed 6 times. The probability of...
A biased coin (one that is not evenly balanced) is tossed 6 times. The probability of Heads on any toss is 0.3. Let X denote the number of Heads that come up. 1. Does this experiment meet the requirements to be considered a Bernoulli Trial? Explain why or why not. 2. If we call Heads a success, what would be the parameters of the binomial distribution of X? (Translation: find the values of n and p) 3. What is the...
A coin is tossed five times. By counting the elements in the following events, determine the...
A coin is tossed five times. By counting the elements in the following events, determine the probability of each event. (Show your work) a. Heads never occurs twice in a row. b. Neither heads or tails occur twice in a row c. Both heads and tails occur at least twice in a row. The answers are 13/32, 1/16, and 1/4. I'm just stuck on how to get them.
Bonus Group Project 1: Negative Binomial Distribution Negative Binomial experiment is based on sequences of Bernoulli...
Bonus Group Project 1: Negative Binomial Distribution Negative Binomial experiment is based on sequences of Bernoulli trials with probability of success p. Let x+m be the number of trials to achieve m successes, and then x has a negative binomial distribution. In summary, negative binomial distribution has the following properties Each trial can result in just two possible outcomes. One is called a success and the other is called a failure. The trials are independent The probability of success, denoted...
1. two coins are tossed, find the probability that two heads are obtained. note: each coin...
1. two coins are tossed, find the probability that two heads are obtained. note: each coin has two possible outcomes H (heads) and T (tails). 2. which of these numbers cannot be a probability? why? a) -0.00001 b) 0.5 c) 20% d)0 e) 1 3. in a deck of 52 cards, what is the probability of drawing a three of spades, and then a four of clubs, without replacement? 4. what is the probability of the same outcome in #3,...
You flip a coin until getting heads. Let X be the number of coin flips. a....
You flip a coin until getting heads. Let X be the number of coin flips. a. What is the probability that you flip the coin at least 8 times? b. What is the probability that you flip the coin at least 8 times given that the first, third, and fifth flips were all tails? c. You flip three coins. Let X be the total number of heads. You then roll X standard dice. Let Y be the sum of those...
1. You are performing 5 independent Bernoulli trials with p = 0.3 and q = 0.7....
1. You are performing 5 independent Bernoulli trials with p = 0.3 and q = 0.7. Calculate the probability of the stated outcome. Check your answer using technology. (Round your answer to four decimal places.) Two successes P(X = 2) = 2. You are performing 5 independent Bernoulli trials with p = 0.4 and q = 0.6. Calculate the probability of the stated outcome. Check your answer using technology. (Round your answer to four decimal places.) Three successes P(X =...
Deriving fair coin flips from biased coins: From coins with uneven heads/tails probabilities construct an experiment...
Deriving fair coin flips from biased coins: From coins with uneven heads/tails probabilities construct an experiment for which there are two disjoint events, with equal probabilities, that we call "heads" and "tails". a. given c1 and c2, where c1 lands heads up with probability 2/3 and c2 lands heads up with probability 1/4, construct a "fair coin flip" experiment. b. given one coin with unknown probability p of landing heads up, where 0 < p < 1, construct a "fair...
Suppose I have two biased coins: coin #1, which lands heads with probability 0.9999, and coin...
Suppose I have two biased coins: coin #1, which lands heads with probability 0.9999, and coin #2, which lands heads with probability 0.1. I conduct an experiment as follows. First I toss a fair coin to decide which biased coin I pick (say, if it lands heads, I pick coin #1, and otherwise I pick coin #2) and then I toss the biased coin twice. Let A be the event that the biased coin #1 is chosen, B1 the event...
Parts (a) and (b) require the exact same reasoning. (a) Consider a sequence of Bernoulli trials....
Parts (a) and (b) require the exact same reasoning. (a) Consider a sequence of Bernoulli trials. if the probability of success is a random variable with uniform distribution between 0 and 1, what is the probability that n trials are needed? (b) A machine relies on three parts, each of which has a probability 1 − p of failure (and probability p of working). All three parts function independently of the others and the machine is working if and only...
coin 1 has probability 0.7 of coming up heads, and coin 2 has probability of 0.6...
coin 1 has probability 0.7 of coming up heads, and coin 2 has probability of 0.6 of coming up heads. we flip a coin each day. if the coin flipped today comes up head, then we select coin 1 to flip tomorrow, and if it comes up tail, then we select coin 2 to flip tomorrow. find the following: a) the transition probability matrix P b) in a long run, what percentage of the results are heads? c) if the...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT