10. [12 pts] After manufacture, computer disks are tested for errors. Let X be the number...
The times between parts arrive a manufacturing station is exponentially distributed with mean of 0.5 minute. What is the value of parameter? What is the median time between the parts arrive? What is the standard deviation? What is the 80th percentile? Find the probability of that more than 1 minute elapse between part arrivals. After manufacturing, computer disks are tested for errors. Let X be the number of errors detected on a randomly chosen disk. The following table presents the...
s(x)={44 A shop produces pipes of 100cm length. But due to manufacturing errors, sometimes the pipes are too long or too short. Let X be the error in the length of pipes produced in a shop. X has the following probability distribution ŞA(1 – x){if -3<x<3, otherwise a. Find A. b. Find the cumulative distribution function of X? c. Find the expected value of X. d. Find the variance of X. e. What is the probability that a pipe is...
1. A mail-order computer business has six telephone lines. X denotes the number The probability mass function of X is given of the lines in use at a specified time. in the accompanying table. 0 2 20 3 25 20 4 5 06 6 04 P(Xx) 10 .15 Find P(1< X <4) and P(X-2) b. E(X), Var(X) c. In a random sample of 10 randomly selected times, let Y be the number of the times that exactly two lines are...
The number of flaws x on an electroplated automobile grill is known to have the following probability mass function: p(0) = 0.6; p(1) = 0.2; p(2) = 0.1; p(3) = 0.1 a) Is this random variable continuous or discrete? Justify your answer. b) Verify that this is a proper mass function c) What is the probability that a randomly selected grill has fewer than 2 flaws? Calculate the probability, and use proper probability notation. d) What is the probability that...
1) Continuous random variables are obtained from data that can be measured rather than counted. A) True B) False 2) Discrete variables have values that can be measured. A) True B) False 3) Determine whether the random variable described is discrete or continuous. The number of minutes you must wait in line at the grocery store A) continuous B) discrete 4) Determine whether the random variable described is discrete or continuous. The total value of a set of coins A)...
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4. A company uses three plants to produce a new computer chip. Plant A produces 30% of the chips. Plant B produces 45% of the chips. The rest of the chips are produced by plant C. Each plant has its own defectiv rate. These are: plant A produces 3% defective chips, plant B produces 1% defective chips, plant C produces 5% defective chips. Hint: draw a tree diagram. (a) Construct a tree diagram...
2. It is estimated that 70% of all visitors to a given website are college students. The remaining 30% are either college graduates or have not attended college. Suppose the website had twelve visitors in the last two hours. (a) Let X be the number of visitors (among the twelve) who are college students. What assumptions need to be satisfied in order for X to obey a binomial distri bution? (b) Modeling X as a binomially distributed random variable, what...
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Let X represent the full height of a certain species of tree. Assume that X has a normal probability distribution with mean 219.5 ft and standard deviation 62.5 ft You intend to measure a random sample of n 187 trees. The bell curve below represents the distibution of these sample means. The scale on the horizontal axis is the standard error of the sampling distribution Complete the indicated boxes, correct to two decimal places Points possible:...