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The geometric distribution. Generalize your work in the previous exercise. You have independent trials, each resulting in a success or a failure. The probability of a success is p on each trial. The binomial distribution describes the count of successes in a fixed number of trials. Now the number of trials is not fixed.
Instead, continue until you get a success. The random variable Y is the number of the trial on which the first success occurs. What are the possible values of Y?
What is the probability P(Y = k) for any of these values? (Comment: The distribution of the number of trials to the first success is called a geometric distribution.)
Differentiate between a point estimate and an interval estimate for a population parameter.- What is meant by inferential statistics, and what role does it play in estimation?
Derive the formula for the expected value Y, derive the formula for the moment generating function of Y
The probability that you win is 6/36=1/6, and P(loss) = 5/6. Find a rough range for a) 200 plays, (b) 20, 000 plays. You must show your work when you compute the SD of the box.
a well-insulated rigid tank of volume 10 ft3 contains carbon dioxide initially at 30 psia and 60 degrees f. the tank is
Analyze the data to make conclusions. Perform test(s), interaction plot and post hoc multiple comparisons if needed.
Either the seed germinates, or it does not. What is the sample space in this problem? Do the probabilities assigned to the sample space add up to 1? Explain. Are the outcomes in the sample space equally likely?
Compute the Relative risk (RR) of ADR with Drug A compared to Drug B. Show all calculation. Interpret the RR value. Do you arrive at the same conclusion based on the OR estimate and RR?
The 132nd running of the Kentucky Derby had a field of 20 horses. If a bettor randomly selects 2 of those horses for an exact bet, what is the probability of winning
let x the number of flaws on the surface of a randomly selected boiler of a certain type have a poisson distribution
Find the area between the graphs of the functions y1 (x) = x ln x and y2 (x) = -4 exp(3ln x) in the interval between the points x1 = 1 and x2 = e.
Problem 1: What is the probability of drawing a heart, given that you drew a queen? Problem 2: What is the probability of rolling an even that you roll a two?
To decrease the amount of time it takes to deliver packages, a delivery company purchased computer software that finds the optimal route for making deliveries based upon the input of the package destinations.
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