The probability of a seal living between 7.4 and 17 years is 81.5%
The empirical rule states that for a normal distribution, 68% are within one standard deviation from the mean, 95% are within two standard deviation from the mean and 99.7% are within three standard deviation from the mean.
Given that:
mean (μ) = 13.8 years, standard deviation (σ) = 3.2 years
68% are within μ ± σ = 13.8 ± 3.2 = (10.6, 17)
95% are within μ ± 2σ = 13.8 ± 2*3.2 = (7.4, 20.2)
The probability of a seal living between 7.4 and 17 years = 34%(68% / 2) + 47.5% (95% / 2) = 81.5%
Find out more on empirical rule at: https://brainly.com/question/10093236
Answer:
97.5%
Step-by-step explanation:
The lifespans of seals in a particular zoo are normally distributed. The average seal lives 13.8 years, the standard deviation is 3.2 years.
The probability of a particular seal living longer than 7.4 years is 95% + 2.5% or 97.5%
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