Determining fraction of employees cost between given range

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Q1) Average number of acres burned by fires in New Mexico County is 5650 with standard deviation of 275 acres. This distribution is supposed to be normally distributed. You are told that probability of number of acres burned being greater than (5650 + R) OR less than (5650- R) is total of .44.  (Hint: Shade the area) Determine R.  

 

2) A game is played with people. One person believes of number from 1 to 6 and other person tries to estimate the number. They play game 25 times. Determine the probability that person guessing numbers guesses it correctly between 7 and 20 times (include 7 and 20) out of 25 times the game is played?   

 

Shaver Manufacturing, Inc., presents dental insurance to its employees. Recent study by human resource director illustrates annual cost per employee per year followed normal probability distribution, with mean of $1,280 and standard deviation of $420 per year.

 

i) Determine fraction of employees cost more than $1,500 per year for dental expenses?   

 

ii) Determine fraction of employees cost between $1,500 and $2,000 per year?

 

iii) Evaluate the percent which didn't have any dental expense.

 

iv) Determine the cost for 10%of employees who incurred highest dental expense?

Reference no: EM1314120

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