The resting heart rate for an adult horse should average about μ = 43 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, with standard deviation σ = 10.5.
(a) What is the probability that the heart rate is less than 25 beats per minute? (Round your answer to four decimal places.)
(b) What is the probability that the heart rate is greater than 60 beats per minute? (Round your answer to four decimal places.)
(c) What is the probability that the heart rate is between 25 and 60 beats per minute? (Round your answer to four decimal places.)
(d) A horse whose resting heart rate is in the upper 12% 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 12% cutoff point of the probability distribution? (Round your answer to the nearest whole number.)