25 to 69 beats per minute Let x be a random variable that represents the resting heart rate for an adult horse Assume that x has

Question

25 to 69 beats per minute Let x be a random variable that represents the resting heart rate for an adult horse Assume that x has a distribution that is approximately normal USE SALT a The empirical rule indicates that for a symmetric and bell shaped distribution approximately 95 of the data lies within two standard deviations of the mean 95 20 Therefore a 95 range of data values extending from 4 20 to 20 is often used for commonly occurring data values Note that the interval from 20 to 20 is 40 in length This leads to a rule of thumb for estimating the standard deviation from a 95 range of data values 20 Estimating the standard deviation For a symmetric bell shaped distribution standard deviation range high value low value where it is estimated that about 95 of the commonly occurring data values fall into this range Use this rule of thumb to estimate the standard deviation of x distribution in beats per minute 11 beats per minute b What is the probability that the heart rate is less than 29 beats per minute Round your answer to four decimal places 0 0505 c What is the probability that the heart rate is greater than 61 beats per minute Round your answer to four decimal places 0 10156 d What is the probability that the heart rate is between 29 and 61 beats per minute Round your answer to four decimal places e A horse whose resting heart rate is in the upper 10 of the probability distribution of heart rates may have a secondary infection or illness that needs to be treated What is the heart rate corresponding to the upper 10 cutoff point of the probability distribution Round your answer to the nearest whole number

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