SOLUTION: the number of nails of a given length is normally distributed with a mean length of 5 in. and a standard deviation of 0.03 in. In a bag containing 120 nails, how many nails are bet
Algebra.Com
Question 464976: the number of nails of a given length is normally distributed with a mean length of 5 in. and a standard deviation of 0.03 in. In a bag containing 120 nails, how many nails are between 4.97 in. long and 5.03 in. long?
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
z=(4.97-5)/.03=-1
z=(5.03-5)/.03=+1
area under normal curve between -1 and 1 is .683
120*.683=82.0 nails are between 4.97 in. long and 5.03 in. long.
.
Ed
RELATED QUESTIONS
The number of nails of a given length is normally distributed with a mean length of 5.00... (answered by Boreal)
The lengths of nails produced in a factory are normally distributed with a mean of
4.95 (answered by mathmate)
A manufacturer knows that their items have a normally distributed length, with a mean of... (answered by Theo)
suppose it is known that in certain large human population cranial length is normally... (answered by ewatrrr)
The lengths of nails produced in a factory are normally distributed with a mean of 6.02... (answered by stanbon)
The tail lengths of a certain animal are normally distributed with a mean length of 1.5... (answered by robertb)
Given a population that is Normally distributed with mean 10 and standard deviation 3,... (answered by Fombitz)
A manufacturer knows that their items have a normally distributed length, with a mean of... (answered by ikleyn)
At a local high school, GPA's are normally distributed with a mean of 2.9 and standard... (answered by ewatrrr)