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

"image"

step-by-step explanation:

in most of these problems, the notation is that the point with a "prime" is the image of the point without. that is, b' is the image of b.

here, there is no dilation or reflection. there is simply translation (with no direction shown). which figure you call the "preimage" and which one you call the "image" is up to you. as a matter of convention, the naming is as described above.