Suppose that X is geometric distributed with parameter p=0.25. Given X=x, Y is binomial on X trials with success probability 1/X. Compute the following probability P(Y = 2| X = 6) Round your answer to nearest xxx
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- In a large high school of 2500 students, 21% of them are seniors. A simple random sample of 150 students is taken and the proportion of seniors is calculated. What are the mean and standard deviation of the sample proportion? Can we use this to calculate probabilities? (That is does it meet the assumptions of the Central Limit Theorem?) What is the probability that the sample will contain less than 15% seniors? Insert the graph from Rguroo that gives the output for this question.I have 3 chickens where each of these chickens lays an egg with the probability 3/4 (independently). I sell each egg the chicken has laid for 8 coins. Work out the variance of the number of coins recieved.It is known that the variable X is normally distributed as X-N (117, 8.4). If a sample size of 37 is selected then find the probability below P(X < 119)
- May I just ask for clarification, should it be x<=3; since beta = 5 is the mean time of failure and what the question is asking is the probability that at least 2 still functions after 8 yrs?. Thank youWhat is the probability that the total of two randomly chosen numbers exceeds 3, where the first number is chosen from a uniform distribution between 0 and 2, and the second number is selected from an exponential distribution with a mean of 1?Ex: 4.1 I don’t know how they calculated the p(x) in table 4.1
- Suppose that the age of students at George Washington Elementary school is uniformly distributed between 5 and 11 years old. 41 randomly selected children from the school are asked their age. Round all answers to 4 decimal places where possible. What is the probability that the average of 41 children will be between 8 and 8.4 years old? How would I do this with a TI84 calculator?Suppose 15% of adults in a certain country work from home. If we want to find the probability that fewer than 30 out of a random sample of 300 adults will work from home, 1. What is the associated Z-score (to 2 decimals)? = Z 2. What is the probability? P(3 < 30 (Round to 4 decimals.) 300 Showing work is REQUIRED.Suppose that the time. in days, required to repair a heat pump is a random variable X having a gamma distribution with parameters k = 8 and A = 2. What is the probability that on the next service call (a) at most 3 day will be required to repair the heat pump? (b) at least 2 days will be required to repair the heat pump? %3D %3D
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