a. The weight of fishes of a typical fishing trip pumpkins follow a normal distr

Question

a. The weight of fishes of a typical fishing trip pumpkins follow a normal distribution with mean 15 pounds and standard deviation 1.5 pounds. Can the weights of the fish follow a normal distribution exactly?

1. Noo, because there is small, but positive, probability assigned to negative weight values

2. Yess, because it seems likely that a histogram of weights would have a bell shape.

3. Yesss, because weight is a continuous measurement

4. Nooo, because weight is a discrete measurement

b. Let Y=aX+b. Select the true statement:

1. b is location parameter.
2. b is scale parameter.
3. b is shape parameter.
4. Non of the above.

Explanation / Answer

a) A normal distribution can be described in terms of mean and standard deviation. In case of normal distribution, the curve is bell shaped.Mean and standard deviation is given to us. Hence, weights of the fish follow normal distribution because it seems likely that a histogram of weights would have a bell shape.

b) Let Y=aX+b.

The above equation represents a probability distribution wherein a is the location parameter and b is the scale parameter .Shape parameter is not included.

Hence b is the scale parameter

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