Question

The lifespans of seals in a particular zoo are normally distributed. The average seal lives

Answer 1

Answer:

2.5%

Step-by-step explanation:

It is given that:

lifespans of seals in a particular zoo are normally distributed. The average seal lives 13.8 years and the standard deviation is 3.2 years.

We want to use the empirical rule to estimate the probability of a seal living longer than 7.4

Let's calculate the z-score of 7.4 using

$z = \frac{x - \mu}{ \sigma}$

$z = \frac{7.4 - 13.8}{3.2}$

$z = - 2.00$

According to empirical rule, 95% of the distribution is within 2 standard deviations, i.e (-2 to 2)

So from (-2 to 0), we would have 47.5%

Since we are looking for the area to the left of -2.00 we subtract this from 50%

to get 2.5%

Answer 2

Answer: 81.5, if question asks in between 7.4 and 17 years

Step-by-step explanation: