SOLUTION: The graph illustrates a normal distribution for the prices paid for a particular model of HD television. The mean price paid is $2000 and the standard deviation is $55. a. What

Question 1169226: The graph illustrates a normal distribution for the prices paid for a particular model of HD television. The mean price paid is $2000 and the standard deviation is $55.
a. What is the approximate percentage of buyers who paid less than $1835?
b. What is the approximate percentage of buyers who paid less than $1890?
c. What is the approximate percentage of buyers who paid between $1945 and $2055?
d. What is the approximate percentage of buyers who paid between $2000 and $2055?
e. What is the approximate percentage of buyers who paid between $1890 and $2000?
d. What is the approximate percentage of buyers who paid between $2000 and $2165?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
z=(x-mean)/sd
a is -3 sd s from the mean -165/55
That is about 0.0015 or 0.15%
-
b is -2 sd s from the mean, and that is 2.28%; use 2.5% for approximate
-
c. this is between -1 and +1 sd s and is about 68%.
-
d is between 0 and 1 sd and is half that or 34%
-
e is between -2 sd s and 0 sd s or about 47.5%
-
f. this is between 0 and +3 sd s and is about 49.85%
RELATED QUESTIONS
The graph illustrates a normal distribution for the prices paid for a particular model of (answered by math_tutor2020)

The graph illustrates a normal distribution for the prices paid for a particular model of (answered by Theo)

Not everyone pays the same price for the same model of a car. Suppose the price of a car... (answered by Boreal)

a city of 25,000 homes survey was taken to determine how many had hd tvs. Of the 300... (answered by checkley79)

Raya bought a tv at a 18% discount . She paid $629.19 for the tv. What was the original... (answered by stanbon,rfer,MathTherapy)

you have a coupon for $100 off the price of a TV. When you arrive at the store, you find... (answered by Theo,ikleyn,josgarithmetic)

Serenity currently sells televisions for Walter's TV Store at a salary of $16,000 plus a... (answered by ikleyn)

Angelica is a sales representive for an appliance distributor. She needs to make at least (answered by drizzit66@yahoo.com)

Sophia paid 304$ for a new TV. The TV was on sale for 20% off. What was the original... (answered by fractalier)