Question

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? Which answer is correct? There might 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? Which answer is correct? There might 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? Which answer is correct? There might 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? Which answer is correct? There might be slight rounding differences. Please provide an explanation.

a. 0.926

b. 0.629

c. 0.259

Answer 1

The weight of trout in a fish farm follows the distribution .

1) The required probability is

Correct choice is (b).

2) The required probability is

Correct choice is (c).

3) The required probability is

Correct choice is (b).

4) Here we use Binomial distribution with .

The required probability is

Correct choice is (a).