1. Suppose that the probability of your success in each test is 0.7. If you can...
1. Suppose that the probability of your success in each test is 0.7. If you can take 100 tests independently, what is the probability that your total number of successes (in these 100 tests) is greater than 10 and less than 50?
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1. Suppose that the probability of your success in each test is
0.7. If you can...
Given a population where the probability of success is p=0.40, calculate the probabilities below if a...
Given a population where the probability of success is p=0.40, calculate the probabilities below if a sample of 900 is taken a Calculate the probability the proportion of successes in the sample will be less than 0.41 b. What is the probability the proportion of successes in the sample will be greater than 0.42? a. The probability the proportion of successes in the sample will be less than 0.41 is (Round to four decimal places as needed) b. The probability...
Suppose that total 5 independent trials having a common probability of success 1/3 are performed. If...
Suppose that total 5 independent trials having a common probability of success 1/3 are performed. If X is the number of successes in the first2 trials, and Y is the number of successes in the final 3 trials, then X and Y are independent, since knowing the number of successes in the first 2 trials does not affect the distribution of the number of successes in the final 3 trials (by the assumption of independent trials). Find the joint p.d.f....
Suppose that the probability that a certain experiment will be successful is 0.4, and let X...
Suppose that the probability that a certain experiment will be successful is 0.4, and let X denote the number of successes that are obtained in 15 independent trials of the experiment. A. What is the probability that there will be between 6 and 9 successes? B. What is the expected number of successes? C. What is the variance? D. Suppose the scientists decide to re-run the experiment 250 times. What is the probability that the number of success will be...
1. Suppose that you do not know your true success rate at basketball free throws. Out...
1. Suppose that you do not know your true success rate at basketball free throws. Out of the 17 attempts, you were able to make 9 of them. a) What is the point estimate associated to the true probability of success p? (4 decimals) b) What is the standard error associated to this estimate? (4 decimals) 2. Suppose that you claimed to someone that you can make basketball free-throw shots 80% of the time. Someone didn't believe you with a level of...
2. Suppose 4 Bernoulli trials, each with success probability p, are con ducted such that the...
2. Suppose 4 Bernoulli trials, each with success probability p, are con ducted such that the outcomes of the 4 experiments pendent. Let the random variable X be the total number of successes over the 4 Bernoulli trials are mutually inde- (a) Write down the sample space for the experiment consisting of 4 Bernoulli trials (the sample space is all possible sequences of length 4 of successes and failures you may use the symbols S and F). (b) Give the...
Suppose X has a geometric distribution with probability 0.3 of success and 0.7 of...continues
Suppose X has a geometric distribution with probability 0.3 of success and 0.7 of failure on each observation. The probability that X = 4 is(a) 0.0081(b) 0.0189(c) 0.1029(d) 0.2401(e) None of the above.
Problem 5 (10 points). Suppose that the independent Bernoulli trials each with success probability p, are...
Problem 5 (10 points). Suppose that the independent Bernoulli trials each with success probability p, are performed independently until the first success occurs, Let Y be the number of trials that are failure. (1) Find the possible values of Y and the probability mass function of Y. (2) Use the relationship between Y and the random variable with a geometric distribution with parameter p to find E(Y) and Var(Y).
Hey! I need some help with these questions! Thanks! Given a population where the probability of success is p = 0.40, cal...
Hey! I need some help with these questions!
Thanks!
Given a population where the probability of success is p = 0.40, calculate the probabilities below if a sample of 900 is taken a. Calculate the probability the proportion of successes in the sample will be greater than 0.39. b. What is the probability the proportion of successes in the sample will be less than 0.37?
Consider a binomial probability distribution, it is unusual for the number of successes to be less...
Consider a binomial probability distribution, it is unusual for the number of successes to be less than__________ or greater than____________. a. Fill in the blanks above. b. For a binomial experiment with 100 trials for which the probability of success on a single trial is 0.2, is it unusual to have more than five successes? Show all work and explain. c. If you were simply guessing on a multiple-choice exam consisting of 6 questions with 3 possible responses for each...
A binomial experiment consists of 600 trials with the probability of success for each trial 0.3....
A binomial experiment consists of 600 trials with the probability of success for each trial 0.3. What is the probability of obtaining 202 or more successes? (This binomial experiment easily passes the rule-of-thumb test, as you can check. When computing the probability, adjust the given interval by extending the range by 0.5 on each side.) Click the icon to view the area under the standard normal curve table. The probability of obtaining 202 or more successes is (Round the final...
Given a population where the probability of success is p=0.40, calculate the probabilities below if a sample of 900 is taken a Calculate the probability the proportion of successes in the sample will be less than 0.41 b. What is the probability the proportion of successes in the sample will be greater than 0.42? a. The probability the proportion of successes in the sample will be less than 0.41 is (Round to four decimal places as needed) b. The probability...
Suppose that total 5 independent trials having a common probability of success 1/3 are performed. If X is the number of successes in the first2 trials, and Y is the number of successes in the final 3 trials, then X and Y are independent, since knowing the number of successes in the first 2 trials does not affect the distribution of the number of successes in the final 3 trials (by the assumption of independent trials). Find the joint p.d.f....
2. Suppose 4 Bernoulli trials, each with success probability p, are con ducted such that the outcomes of the 4 experiments pendent. Let the random variable X be the total number of successes over the 4 Bernoulli trials are mutually inde- (a) Write down the sample space for the experiment consisting of 4 Bernoulli trials (the sample space is all possible sequences of length 4 of successes and failures you may use the symbols S and F). (b) Give the...
Problem 5 (10 points). Suppose that the independent Bernoulli trials each with success probability p, are performed independently until the first success occurs, Let Y be the number of trials that are failure. (1) Find the possible values of Y and the probability mass function of Y. (2) Use the relationship between Y and the random variable with a geometric distribution with parameter p to find E(Y) and Var(Y).
Hey! I need some help with these questions!
Thanks!
Given a population where the probability of success is p = 0.40, calculate the probabilities below if a sample of 900 is taken a. Calculate the probability the proportion of successes in the sample will be greater than 0.39. b. What is the probability the proportion of successes in the sample will be less than 0.37?
A binomial experiment consists of 600 trials with the probability of success for each trial 0.3. What is the probability of obtaining 202 or more successes? (This binomial experiment easily passes the rule-of-thumb test, as you can check. When computing the probability, adjust the given interval by extending the range by 0.5 on each side.) Click the icon to view the area under the standard normal curve table. The probability of obtaining 202 or more successes is (Round the final...
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