Answer :
Final answer:
Calculate the mean and standard deviation of the shrimp weights based on given percentages. Use the provided formula and distribution information to determine the mean and standard deviation.
Explanation:
Mean = 1.46 oz, Standard Deviation = 0.48 oz
- Calculate the mean weight: (0.19 * 1.94) + (0.06 * 0.98) + (0.75 * X) = 1.46
- Calculate the variance of the weights using the formula: Variance = (0.19 * (1.94 - 1.46)^2) + (0.06 * (0.98 - 1.46)^2) + (0.75 * (X - 1.46)^2)
- Finally, calculate the standard deviation by taking the square root of the variance calculated in the previous step.