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Binomial Distribution
Which one of the following statements is not an essential assumption of the binomial distribution?A. Each trial results in one of two mutually exclusive outcomesB. The experiment consists of n identical and independent trialsC. The probability of success remains constant from trial to trialD. Sampling is with replacementE. All of the above are essential assumptions of the Binomial Distribution
binomial distribution
The number of boys, X, in a family of eight children has a binomial distribution where the chances of a boy are equal to the chances of a girl being a member of the family. Determine the probability of the family having 2 boys or at least 4 girls.
Binomial distribution
20201010_141910.jpgDestination Weddings Twenty-six percent of couples who plan to marry this year are planning destination weddings. Assume
the variable is binomial. In a ramdom sample of 3 couples who plan to marry, find the probability of the following. Round
intermediate calculations and fiñal answers to three decimal places.
Part 1 of 3
(a) At least 1 couple will have a destination wedding.
P(at least I couple will have a destination wedding) =
Consider the binomial distribution with parameters n 10 and p (unknown) a) Is this binomial distribution...
Consider the binomial distribution with parameters n 10 and p (unknown) a) Is this binomial distribution an exponential family distribution? b) Find a sufficient statistic for p.
Use simulations to prove that the binomial distribution is correct. The binomial distribution has two parameters...
Use simulations to prove that the binomial distribution is correct. The binomial distribution has two parameters n and p. There are n trials and each has two possible outcomes, with probability p for “success” and 1-p for “failure”. The binomial gives the probability distribution for the number of successes in n trials. You will conduct simulations with r replicates, where each simulation replicates does n simulated “coin flips”. You will add up the number of successes in each coin flip,...
Unit 4.3 Binomial Distribution Understand the Parameters of the Binomial Distribution Question Consider how the following...
Unit 4.3 Binomial Distribution Understand the Parameters of the Binomial Distribution Question Consider how the following scenario could be modeled with a binomial distribution, and answer the question that folows 54.4% of tickets sold to a movie are sold with a popcorn coupon, and 45.6% are not. You want to calculate the problem of selling exactly 6 tickets with pop corn coupons out of 10 total tickets (or 6 successes in 10 trials) What value should you use for the...
A binomial distribution has p=o.22 and n=98. Use the normal approximation to the binomial distribution to...
A binomial distribution has p=o.22 and n=98. Use the normal approximation to the binomial distribution to answer parts a through d. a. what are the mean and standard deviation for this distribution? b. what us the probability of exactly 16 successes? c. what is the probability of 14 to 25 successes? d. what is the probability of 12 to 20 successes?
Determine whether the given procedure results in a binomial distribution. If it is not binomial, identify...
Determine whether the given procedure results in a binomial distribution. If it is not binomial, identify the requirements that are not satisfied. Recording the genders of 100 people in a statistics classRecording the genders of 100 people in a statistics class nothing Choose the correct answer below. A. No comma because there are more than two possible outcomes.No, because there are more than two possible outcomes. B. No, because there are more than two possible outcomes and the trials are...
Find the indicated probabilities using the geometric distribution, the Poisson distribution, or the binomial distribution. Then...
Find the indicated probabilities using the geometric distribution, the Poisson distribution, or the binomial distribution. Then determine if the events are unusual. If convenient, use the appropriate probability table or technology to find the probabilities. The mean number of births per minute in a country in a recent year was about three. Find the probability that the number of births in any given minute is (a) exactly five, (b) at least five, and (c) more than five. (a) P(exactly five)-...
Find the indicated probabilities using the geometric distribution, the Poisson distribution, or the binomial distribution. Then...
Find the indicated probabilities using the geometric distribution, the Poisson distribution, or the binomial distribution. Then determine if the events are unusual. If convenient, use the appropriate probability table or technology to find the probabilities A glass manufacturer finds that 1 in every 1000 glass items produced is warped. Find the probability that (a) the first warped glass item is the 10th item produced, (b) the first warped item is the first, second, or third item produced, and (c) none...
Consider the binomial distribution with parameters n 10 and p (unknown) a) Is this binomial distribution an exponential family distribution? b) Find a sufficient statistic for p.
Unit 4.3 Binomial Distribution Understand the Parameters of the Binomial Distribution Question Consider how the following scenario could be modeled with a binomial distribution, and answer the question that folows 54.4% of tickets sold to a movie are sold with a popcorn coupon, and 45.6% are not. You want to calculate the problem of selling exactly 6 tickets with pop corn coupons out of 10 total tickets (or 6 successes in 10 trials) What value should you use for the...
Find the indicated probabilities using the geometric distribution, the Poisson distribution, or the binomial distribution. Then determine if the events are unusual. If convenient, use the appropriate probability table or technology to find the probabilities. The mean number of births per minute in a country in a recent year was about three. Find the probability that the number of births in any given minute is (a) exactly five, (b) at least five, and (c) more than five. (a) P(exactly five)-...
Find the indicated probabilities using the geometric distribution, the Poisson distribution, or the binomial distribution. Then determine if the events are unusual. If convenient, use the appropriate probability table or technology to find the probabilities A glass manufacturer finds that 1 in every 1000 glass items produced is warped. Find the probability that (a) the first warped glass item is the 10th item produced, (b) the first warped item is the first, second, or third item produced, and (c) none...
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