A zoo is concerned that some of their jaguars may be becoming slightly overweight. Suppose that the weight (in kg) of a jaguar in this zoo is normally distributed with mean 55 and variance 289. Assume that jaguar weights are independent. Any jaguar that weighs more than 78 kgs is considered slightly overweight and will need to go on a special "healthy" diet. In a random sample of 12 jaguars at this zoo, find the probability that more than 2 will need to go on the special healthy diet.

A miniature American Eskimo dog has a mean weight of 15 pounds with a standard deviation of 2 pounds. Assuming the weights of miniature Eskimo dogs are normally distributed, what range of weights would 68% of the dogs have? (1 point)Approximately 13–17 poundsApproximately 14–16 poundsApproximately 11–19 poundsApproximately 9–21 pounds

A population of adult free-range turkeys has a mean weight of 8.5 kg and a standard deviation of 1.2 kg. A random sample of size 10 is taken from this population. Find the mean and the standard deviation for the total weight of this sample of size 10.

The birth weight (in kg) of a particular species of buffalo is normally distributed with mean 26 and variance 36.Find the lightest weight of the heaviest 96% of newly born baby buffalos. Do not include any units in your answer.

Show all your work. Indicate clearly the methods you use, because you will be scored on the correctness of your methods as well as on the accuracy and completeness of your results and explanations. A certain type of bird lives in two regions of a state. The distribution of weight for birds of this type in the northern region is approximately normal with mean 10 ounces and standard deviation 3 ounces. The distribution of weight for birds of this type in the southern region is approximately normal with mean 16 ounces and standard deviation 2.5 ounces.(a) Calculate the 𝑧-scores for a weight of 13 ounces for a bird living in the northern region and for a weight of 13 ounces for a bird living in the southern region.(b) Is it more likely that a bird of this type with a weight greater than 13 ounces lives in the northern region or the southern region? Justify your answer.

The weight of football players is normally distributed with a mean of 200 pounds and a standard deviation of 25 pounds.The probability of a player weighing more than 241.25 pounds is Group of answer choices0.90100.45050.95050.0495