Statistical Analysis (Normal Distribution)

label Statistics
account_circle Unassigned
schedule 1 Day
account_balance_wallet $5

Bass: The bass in Clear Lake have weights that are normally distributed with a mean of 2.6 pounds and a standard deviation of 0.9 pounds.

(a) Suppose you only want to keep fish that are in the top 20% as far as weight is concerned. What is the minimum weight of a keeper? Round your answer to 2 decimal places. 

(b) Suppose you want to mount a fish if it is in the top 0.5% of those in the lake. What is the minimum weight of a bass to be mounted? Round your answer to 2 decimal places. 

Oct 26th, 2015

Thank you for the opportunity to help you with your question!

We have the mean ,m=2.6 and standard deviation ,d=0.9

a)We have to find the minimum value of x  such that P(x<k)=.8

So the z score corresponding to probability=0.8,from the normal distribution table is .8416



(x-2.6)/.9 =.8416


b)The top .5% means the minimum value is the maximum for the probability value 1-.5% =.995


The z score=2.5758


(x-2.6)/.9 =2.5758

x=4.92(answer)=>MInimum weight

Please let me know if you need any clarification. I'm always happy to answer your questions.
Oct 26th, 2015

Studypool's Notebank makes it easy to buy and sell old notes, study guides, reviews, etc.
Click to visit
The Notebank
Oct 26th, 2015
Oct 26th, 2015
Jun 23rd, 2017
Mark as Final Answer
Unmark as Final Answer
Final Answer

Secure Information

Content will be erased after question is completed.

Final Answer