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25. For a normal distribution with μ = 0.243 and a = 0.0073, find ◆◆(0.240< <0.250).

25. For a normal distribution with μ = 0.243 and a = 0.0073, find ◆◆(0.240< <0.250).

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.3: Special Probability Density Functions
Problem 10E
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25. For a normal distribution with μ = 0.243 and o = 0.0073, find (0.240< < 0.250).
Transcribed Image Text:25. For a normal distribution with μ = 0.243 and o = 0.0073, find (0.240< < 0.250).
24. Three companies sell vitamin B12 supplements locally. All three products are labeled as containing 100µg (micrograms). You analyze 60 tablets from each product and determine the following: Product A Product B Product C μ = 102.1 μg μ = 100.1 µg μ = 103.0 μg o=1.7 µg a=2.4 µg σ= 0.7 µg You want to ensure that 90% of tablets have between 98µg and 104µg of vitamin B12. Assuming that each product's data forms a normal distribution, which products are in the acceptable range? For Product A, P(98 < X < 104) = 86%. For Product B, P(98 < X < 104) = 76%. For Product C, P(98 < X < 104) = 92%.
Transcribed Image Text:24. Three companies sell vitamin B12 supplements locally. All three products are labeled as containing 100µg (micrograms). You analyze 60 tablets from each product and determine the following: Product A Product B Product C μ = 102.1 μg μ = 100.1 µg μ = 103.0 μg o=1.7 µg a=2.4 µg σ= 0.7 µg You want to ensure that 90% of tablets have between 98µg and 104µg of vitamin B12. Assuming that each product's data forms a normal distribution, which products are in the acceptable range? For Product A, P(98 < X < 104) = 86%. For Product B, P(98 < X < 104) = 76%. For Product C, P(98 < X < 104) = 92%.
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