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What should be the value of a to make this continuous random variable X valid?
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- The probability that data are entered incorrectly into a field in a database is 0.008. A data entry form has 24 fields, and errors occur independently for each field. The random variable X is the number of fields on the form with an error. Does X have a discrete uniform distribution? Why or why not?How shall we represent a mode for the continuous random variable?The probability for a continuous variable that is normally distributed is equivalent to what?
- ABC Manufacturing Company had manufactured a batch that has 600 parts. 30 parts do not conform to client's requirements. If two parts are selected at random, without replacement, from the batch. Let the random variable X equal the number of nonconforming parts in the sample. Determine E(x) and V(x). Upload Choose a File8.5 Q2) Hey! Need help solving this question, it states to answer in simplified fractions. Thank you!Let X and Y be independent random variables such that Var[X] = 4.8 and Var[Y ] = 9.7. How can we prove that 2X and 3Y are independent? What is the standard deviation of 2X + 3Y?
- Which of the following is false for continuous and independent random variables Y and Z?Suppose the lifespan (in months) of a smartphone battery can be modeled as a continuous random variable with CDF F(x) = 1 − e-x/3 x ≥ 0 What is the probability that the battery lasts between 12 to 15 months?Assume the flying height of an airplane is a Gaussian Random variable X with ax = 5000 m and ox=2000 m. Find the probability of the airplane flying higher than 10000 m. Use the table method.
- Let X be a binomial random variable with mean u = 2.2 and variance o2 = 1.76, find a) Write the probability distribution function. b) P(x<2) c) If Y = 0.5 X - 0.4, find the mean and variance of the new random variable Y.Let X and Y be independent exponential random variables with parameters 2 and 3. (a) What is the probability that X + Y > 1. (b) Conditional on X + Y = 1, what is the distribution of X.The life X (in hours) of a battery in constant use is a random variable with exponential density. What is the probability that the battery will last more than 12 hours (h) if the average life is 8 h?
