(d) What is the probability that the heart rate is between 25 and 60 beats per minute? (Round your answer to four decimal places.) (e) A horse whose resting heart rate is in the upper 9% 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 9% cutoff point of the probability distribution? (Round your answer to the nearest whole number.) beats per minute

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(D) and (E)

The resting heart rate for an adult horse should average about u = 48 beats per minute with a (95% of data) range from 22 to 74 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.
A USE SALT
(a) The empirical rule indicates that for a symmetrical and bell-shaped distribution, approximately 95% of the data lies within two standard deviations of the mean. Therefore, a 95% range of data values extending from u - 20 to u + 20 is often used for "commonly occurring" data
values. Note that the interval from u - 20 to u + 20 is 40 in length. This leads to a "rule of thumb" for estimating the standard deviation from a 95% range of data values.
Estimating the standard deviation
For a symmetric, bell-shaped distribution,
standard deviation ange 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. (Round your answer to one decimal place.)
13
v beats
(b) What is the probability that the heart rate is less than 25 beats per minute? (Round your answer to four decimal places.)
0.0381 x
0.0384
(c) What is the probability that the heart rate is greater than 60 beats per minute? (Round your answer to four decimal places.)
0.8223 x
0.1780
(d) What is the probability that the heart rate is between 25 and 60 beats per minute? (Round your answer to four decimal places.)
(e) A horse whose resting heart rate is in the upper 9% of the probability distribution of heart rates may have a secondary infection
answer to the nearest whole number.)
illness that needs to be treated. What is the heart rate corresponding to the upper 9% cutoff point of the probability distribution? (Round your
beats per minute
Transcribed Image Text:The resting heart rate for an adult horse should average about u = 48 beats per minute with a (95% of data) range from 22 to 74 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. A USE SALT (a) The empirical rule indicates that for a symmetrical and bell-shaped distribution, approximately 95% of the data lies within two standard deviations of the mean. Therefore, a 95% range of data values extending from u - 20 to u + 20 is often used for "commonly occurring" data values. Note that the interval from u - 20 to u + 20 is 40 in length. This leads to a "rule of thumb" for estimating the standard deviation from a 95% range of data values. Estimating the standard deviation For a symmetric, bell-shaped distribution, standard deviation ange 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. (Round your answer to one decimal place.) 13 v beats (b) What is the probability that the heart rate is less than 25 beats per minute? (Round your answer to four decimal places.) 0.0381 x 0.0384 (c) What is the probability that the heart rate is greater than 60 beats per minute? (Round your answer to four decimal places.) 0.8223 x 0.1780 (d) What is the probability that the heart rate is between 25 and 60 beats per minute? (Round your answer to four decimal places.) (e) A horse whose resting heart rate is in the upper 9% of the probability distribution of heart rates may have a secondary infection answer to the nearest whole number.) illness that needs to be treated. What is the heart rate corresponding to the upper 9% cutoff point of the probability distribution? (Round your beats per minute
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