Jada walks dogs to earn money. The points in this graph represent the total amount of money Jada earns based on the number of ho
urs she walks dogs. Jada wants to purchase a new jacket that costs $16
How many hours does Jada need to walk dogs to earn enough money to buy the jacket?
How many hours does Jada need to walk dogs to earn enough money to buy the jacket?
2 answers:
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We have been given that the lifespans of lions in a particular zoo are normally distributed. The average lion lives 12.5 years; the standard deviation is 2.4 years. We are asked to find the probability of a lion living longer than 10.1 years using empirical rule.
First of all, we will find the z-score corresponding to sample score 10.1.
, where,
z = z-score,
x = Random sample score,
= Mean
= Standard deviation.
Since z-score of 10.1 is . Now we need to find area under curve that is below one standard deviation from mean.
We know that approximately 68% of data points lie between one standard deviation from mean.
We also know that 50% of data points are above mean and 50% of data points are below mean.
To find the probability of a data point with z-score , we will subtract half of 68% from 50%.
Therefore, the probability of a lion living longer than 10.1 years is approximately 16%.