Horn lengths of texas longhorn cattle are normally distributed. the mean horn spread is 60 inches with a standard deviation of 4.5 inches. calculate the range of horn lengths for the middle 99.7% of texas longhorn cattle. a. 51 in.–60 in. b. 51 in.–69 in. c. 60 in.–73.5 in. d. 46.5 in.–73.5 in.

D. 46.5 in.–73.5 in.

Step-by-step explanation:

We have been given that horn lengths of Texas longhorn cattle are normally distributed. The mean horn spread is 60 inches with a standard deviation of 4.5 inches.

Since the empirical rule states that about 99.7% of the population lies within the 3 standard deviation. So according to normal distribution the range for the middle 99.7% of the values is: .

Upon substituting our given values we will get,

Therefore, about 99.7% of the cattle population have horn lengths between 46.5 inches and 73.5 inches and option D is the correct choice.

the answer is 9.8975

explanation:

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step-by-step explanation:

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