1.A) The life spans of batteries is known to be normally distributed, with a mean of 2250 hours and a standard deviation of 134 hours. (i) Find the probability of a battery chosen at random will have a life span more than 1980 hours. (ii) Find the percent of batteries that will have a life span of less than 2095 hours.

MATLAB: An Introduction with Applications
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1.A) The life spans of batteries is known to be normally distributed, with a mean
of 2250 hours and a standard deviation of 134 hours. (i) Find the probability of a
battery chosen at random will have a life span more than 1980 hours. (ii) Find the
percent of batteries that will have a life span of less than 2095 hours.
B) A physical fitness association is including the mile run in its secondary-school
fitness test. The time for this event for boys in secondary school is known to
possess a normal distribution with a mean of 440 seconds and a standard
deviation of 50 seconds. The fitness association wants to recognize the fastest
1% of the boys with certificates of recognition. Approximately what time would
the boys need to beat in order to earn a certificate of recognition from the fitness
association?
ons: On
Transcribed Image Text:1.A) The life spans of batteries is known to be normally distributed, with a mean of 2250 hours and a standard deviation of 134 hours. (i) Find the probability of a battery chosen at random will have a life span more than 1980 hours. (ii) Find the percent of batteries that will have a life span of less than 2095 hours. B) A physical fitness association is including the mile run in its secondary-school fitness test. The time for this event for boys in secondary school is known to possess a normal distribution with a mean of 440 seconds and a standard deviation of 50 seconds. The fitness association wants to recognize the fastest 1% of the boys with certificates of recognition. Approximately what time would the boys need to beat in order to earn a certificate of recognition from the fitness association? ons: On
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