Question

# Average temperature of a dog is 37°C, or 98.6°F. A Researcher reported that it was 98.2°F,...

Average temperature of a dog is 37°C, or 98.6°F. A Researcher reported that it was 98.2°F, with a standard deviation of 0.7°F. Assume that the body temperatures in degrees F are normally distributed. If the researchers’ statistics for the mean and standard deviation are correct:

i) Calculate the probability the average body temperature of these four dogs is less than 98.5°F. Suppose that a vet nurse takes the body temperature of 10 dogs, none with illness or disease that will affect temperature, from random litters X = the number of dogs who may have body temperatures that exceed 98.6°F.

(ii)List the possible values of X

(iii)State the distribution of X, and the value/s of the parameter/s. Verify that the assumptions of the distribution chosen have been met.

(iv)What is the probability that at least two dogs have body temperatures that are higher than 98.6°F?

(v) What is the probability that none of the dogs have body temperatures that are higher than 98.6°F?

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