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 use the empirical rule (68- 95-99.7%) to estimate the probability of a seal living between 7.4 and 17 years

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: link

step-by-step explanation:

i have done this all on a piece of paper but idk how to put it on here cuz it needs to be drawn