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1The nation of Moldovia has recently created an economic development plan that includes expanded exports and imports.
1、The nation of Moldovia has recently created an economic development plan that includes expanded exports and imports. It has completed a series of extensive studies of the world economy and Moldovia's economic capability, following Moldovia's extensive 10- year educational-enhancement program. The resulting model indicates that in the next year exports will be normally distributed with a mean of 80 and a variance of 900 ( in billions of Moldovian dollars). In addition, imports are expected to be normally distributed with a mean of 100 and a variance of 625 in the same units. The covariance between exports and imports is expected to be + 0.50 Define the trade balance as exports minus imports. The probability that the trade balance ( exports minus imports) will be positive is
2. A. 0.0095
- B. 0.9701
- C. 0.9021
- D. None of these answers are correct.
3.A random variable X is normally distributed with a mean of 500 and a variance of 100, and a random variable Y is normally distributed with a mean of 200 and a variance of 400. The random variables have a correlation coefficient equal to 0.7. Find the variance of the random variable: W = 5X - 4Y. The variance is
4。A customer consultant for Startech Information systems receives calls from computer users. The mean number of calls per hour is 40 and calls are independent. He has just finished a call. What is the probability that he will have at least 5 minutes before the next call arrives? The probability is
5. The nation of Moldovia has recently created an economic development plan that includes expanded exports and imports. It has completed a series of extensive studies of the world economy and Moldovia's economic capability, following Moldovia's extensive 10- year educational-enhancement program. The resulting model indicates that in the next year exports will be normally distributed with a mean of 80 and a variance of 900 ( in billions of Moldovian dollars). In addition, imports are expected to be normally distributed with a mean of 100 and a variance of 625 in the same units. The covariance between exports and imports is expected to be + 0.50 Define the trade balance as exports minus imports. The mean of the trade balance ( exports minus imports) if the model parameters given above are true is . (NOTE: Include the negative sign in your answer if it is negative.)
