A standard American Eskimo dog has a mean weight of 30 pounds with a standard deviation of 2 pounds. Assuming the weights of standard Eskimo dogs are normally distributed, what range of weights would 99.7% of the dogs have?

Approximately 26-34 pounds

Approximately 24-36 pounds

Approximately 28-32 pounds

Approximately 29-31 pounds

Approximately 24-36 pounds

Step-by-step explanation:

Given:

Weight of standard American Eskimo dog has mean = 30 pounds

A standard deviation = 2 pounds

For 99.7% of the dogs according to normal distribution would lie between 3 standard deviations on either side of the mean.

i. e. lower bound = Mean - 3 (standard deviation)

= 30-3 (2)

=30-6

=24

Upper bound = Mean + 3 (standard deviation)

= 30+3 (2)

=30+6

=36

Hence the range of weights : 24-36 pounds

correct answer Approximately 24-36 pounds!