Chlorine concentration in a municipal water supply is a unif

Chlorine concentration in a municipal water supply is a uniformly distributed random variable that ranges between 0.72 ppm and 0.97 ppm

What is the mean chlorine concentration? (Round your answer to 2 decimal places.)

Calculate the standard deviation? (Round your answer to 4 decimal places.)

What is the probability that the chlorine concentration will exceed 0.74 ppm on a given day? (Round your answer to 4 decimal places.)

What is the probability that the chlorine concentration will be under 0.92 ppm? (Round your answer to 4 decimal places.)

What is the probability that the chlorine concentration will be between 0.82 ppm and 0.89 ppm? (Round your answer to 4 decimal places.)

  

Chlorine concentration in a municipal water supply is a uniformly distributed random variable that ranges between 0.72 ppm and 0.97 ppm

Solution

Chlorine concentration in a municipal water supply is a uniformly distributed random variable that ranges between 0.72 ppm and 0.97 ppm (a) What is the mean chlorine concentration? (Round your answer to 2 decimal places.) Expectation = (0.72+0.97)/2 = 0.85 (b) Calculate the standard deviation? (Round your answer to 4 decimal places.) Variance = (0.97-0.722/12 = 0.0052 Standard deviation = 0.0722 (c) What is the probability that the chlorine concentration will exceed 0.74 ppm on a given day? (Round your answer to 4 decimal places.) P( x >0.74) =0.9200 (d) What is the probability that the chlorine concentration will be under 0.92 ppm? (Round your answer to 4 decimal places.) P( x < 0.92) =0.8000 (e) What is the probability that the chlorine concentration will be between 0.82 ppm and 0.89 ppm? (Round your answer to 4 decimal places.) P(0.82