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The weight of trout in a fish farm follows the distribution N (200, 502). A trout is randomly selected. 1. What is the probability that

The weight of trout in a fish farm follows the distribution N (200, 502). A trout is randomly selected.

1. What is the probability that its weight does not exceed 175g? What is the correct answer? There may be slight rounding differences. Please provide an explanation.

a. 0.311

b. 0.131

c. 0.113

2. What is the probability that its weight is greater than 230g? What is the correct answer? There may be slight rounding differences. Please provide an explanation.

a. 0.005

b. 0.500

c. 0.090

3. What is the probability that its weight is between 225g and 275g? What is the correct answer? There may be slight rounding differences. Please provide an explanation.

a. 0.050

b. 0.131

c. 0.113

4. What is the probability that out of eight trout selected randomly from the fish farm, less than three of them will not weigh more than 175g?What is the correct answer? There may be slight rounding differences. Please provide an explanation.

a. 0.926

b. 0.629

c. 0.259

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