Question

c. The percentage of hippos born weighing 25 pounds or less is(Round to one decimal place as needed.)

Answer 1

Given data:

Mean: 84 lb

Standard deviation: 12lb

Find % of hippos born weighing 25 poind or less.

1. Find the z-score corresponding to x=25:

`\begin{gathered} z=(x-\mu)/(\sigma) \\ \\ z=(25-84)/(12) \\ \\ z=-(59)/(12) \\ \\ z=-4.92 \end{gathered}`

2. Use a z-table to find the probability of x less or equal to 25 (z-score -4.92):

For a z-score of -3.50 or less the corresponding value is 0.0001

`P(x\leq25)=0.0001`

3. Multiply by 100 the value you get in step 2 to get the percentage:

`0.0001*100=0.01`Then, the percentaje of hippos born weighing 25 poind or less is 0.01%