Question

We toss a pair of coins and say that we have a success if both are...

We toss a pair of coins and say that we have a success if both are heads, and failure otherwise. Let X be the number of successes if we toss n pairs of coins.
a) What is the mean and the standard deviation of X if n = 48?
b) Estimate the probability that X > 15 using the normal approximation. Do not use the continuity correction.

c)Estimate the probability that X = 12 using the normal approximation with the continuity correction.

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
Suppose your experiment consists of repeatedly throwing two fair coins, with "success" when both coins come...
Suppose your experiment consists of repeatedly throwing two fair coins, with "success" when both coins come up "heads". What is the probability of having exactly 2 successes out of 8 trials?
We toss two coins. Let X be the number of heads. (a) [2 pts] Find the...
We toss two coins. Let X be the number of heads. (a) [2 pts] Find the sample space S for X. (b) [2 pts] Find P(X = 0). (c) [4 pts] Find the mean of the number of heads. (d) [4 pts] Find the variance of the number of heads.
We toss n coins and each one shows up heads with probability p, independent of the...
We toss n coins and each one shows up heads with probability p, independent of the other coin tosses. Each coin which shows up heads is tossed again. What is the probability mass function of the number of heads obtained after the second round of coin tossing?
We are given three coins: one has heads in both faces, the second has tails in...
We are given three coins: one has heads in both faces, the second has tails in both faces, and the third has a head in one face and a tail in the other. We choose a coin at random, toss it, and the result is heads. What is the probability that the opposite face is tails?  
Q3. Suppose you toss n “fair” coins (i.e., heads probability = 1/21/2). For every coin that...
Q3. Suppose you toss n “fair” coins (i.e., heads probability = 1/21/2). For every coin that came up tails, suppose you toss it one more time. Let X be the random variable denoting the number of heads in the end. What is the range of the variable X (give exact upper and lower bounds) What is the distribution of X? (Write down the name and give a convincing explanation.)
A die is rolled 360 times. Let say that you want to use normal approximation to...
A die is rolled 360 times. Let say that you want to use normal approximation to find the probability that the number of 4 was rolled less than 100 times. You need to find the probability that X<100. Explain how you would use continuity correction in this case.
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...
You will flip two coins together 10 times. You are interested in the outcome where both...
You will flip two coins together 10 times. You are interested in the outcome where both coins land on heads. Let X be the number of times you observe this outcome. Answer Question 1 through 4. 1. What are the possible values for x? (values the random variable X can take) 2. Is X binomial random variable? If so, state its parameter n and p. If not, explain why. 3. Find the probability that you will see both coins landing...
We say a group of four people is “interesting", if there are at most five pairs...
We say a group of four people is “interesting", if there are at most five pairs who are friends. Assume that each pair of people are friends, independent of every other pair, with probability 1/2. Let N be the number of pairs that are friends in this group. Following the model above, if 128 different people each observe one randomly chosen groups of four people, how many times on average do these observations lead to the conclusion that the person's...
Suppose we have a binomial distribution with n trials and probability of success p. The random...
Suppose we have a binomial distribution with n trials and probability of success p. The random variable r is the number of successes in the n trials, and the random variable representing the proportion of successes is p̂ = r/n. (a) n = 44; p = 0.53; Compute P(0.30 ≤ p̂ ≤ 0.45). (Round your answer to four decimal places.) (b) n = 36; p = 0.29; Compute the probability that p̂ will exceed 0.35. (Round your answer to four...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT