Let the random variables X1 and X2 denote the length and wid…
Let the random variables X1 and X2 denote the length and width of a manufactured part. Assume that X1 is normal with E(X1 ) = 2 and standard deviation 0.1 cm. Also assume that X2 is normal with E(X2 ) = 5 cm and standard deviation 0.2 cm. Also assume that X1 and X2 are independent. What is the probability that the perimeter exceeds 14.5 cm?
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Which of the following statements are true about probability models? i. Probability models are used to quantify the risks involved in making decisions based on samples. ii. Probability models can only be used if you have finite population. iii. The normal distribution is an example of a continuous probability distribution. iv. A probability model can be used to predict how likely it is to have a defective part in a batch. v. Probability models cannot be used to model measurements made on a sample.
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