Let Random variable X be the sum of two dice. Present the probability distribution (tabular) of the said random experiment.
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Let Random variable X be the sum of two dice. Present the probability distribution (tabular) of the said random experiment.
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- A particular lake is known to be one of the best places to catch a certain type of fish. In this table, x = number of fish caught in a 6-hour period. The percentage data are the percentages of fishermen who caught x fish in a 6-hour period while fishing from shore. (a) Convert the percentages to probabilities and make a histogram of the probability distribution. (Because the data table has summarized the data into categories, use SALT to create a bar chart.) - choose one of the graphs (b) Find the probability that a fisherman selected at random fishing from shore catches one or more fish in a 6-hour period. (Round your answer to two decimal places.) (c) Find the probability that a fisherman selected at random fishing from shore catches two or more fish in a 6-hour period. (Round your answer to two decimal places.)Why we cannot write the probability distribution for a continuous random variable?Two candidates are running for president: John Democrat and Joe Republican. A recent survey concluded that John Democrat had a probability of 0.55 to win the election. One thousand people are interviewed at random about whom they would vote for. A random variable X is defined as the number of people who said they would vote for Joe Republican. Find the expected value of the random variable
- Austin decided to give Taylor Swift another chance. So, he listened through all her songs from 2009. There were 8 in total. Let the random variable X be the number of songs in which she complained about some boy. The probability of complaining about a boy is 56%. (a) Is X a discrete or continuous random variable? How do you know? (b) What are the possible values of X? (c) Does X follow a distribution that we covered in class? If so, how do we know? Properly label the distribution.After careful research you observe that the number of hackers active on each day is a random variable Bin(3,0.5) distribution. If no hackers are active, the probability of the website failure is 0.15; If one hacker is active the probability of the website failure is 0.3; if two or more hackers are active the probability of the website failure is 0.5. You conclude that the total probability of website failure on a given day is two decimal place). Assuming there is a failure, the probability no hackers are active is (to (to two decimal places).A private hospital gets an average of 14 hospital admissions per week in its emergency room (ER). Let x be the outcome of hospital admissions in the emergency room in a week. In order to plan for the number of beds for the future, the hospital has to model the data with an appropriate distribution. (a) what distribution would you suggest for the random variable X, and why? (b) what is the probability of getting at most two admissions in one week? (c) what is the probability of getting at most two admissions in two weeks? (d) what is the probability of getting at least one admission in 2 days, assuming its ER opens 7 days a week? (e) if the hospital closes for three days because of a very serious event, how may new patients will the ER miss for admission on average, in those three days?
- Let random variable X be the number or heads showing in tossing 3 coins. Present the probability distribution(tabular) of the said random experiment.Each trial in a binomial experiment has a 25% probability of success.if the normal distribution is to be used to calculate a probability for thisbinomial experiment, then number of trials must be at leastAnita's, a fast-food chain specializing in hot dogs and garlic fries, can monitor how many customers at its restaurants want to eat (in addition to ordering takeout) to decide whether or not to build a location to play in the city. . Including the presence of Sammy the mascot in local locations, stores and franchises, Anita reports that 45% of her customers order food for delivery. If this ratio is true, what is the probability that a random sample of 3 of Anita's 4 customers will order food? Round your response to at least three decimal places. (If necessary, consult a list of formulas.)