The maintenance department at the main campus of a large state university receives daily requests to replace fluorecent lightbulbs. The distribution of the number of daily requests is bell-shaped and has a mean of 39 and a standard deviation of 10. Using the 68-95-99.7 rule, what is the approximate percentage of lightbulb replacement requests numbering between 29 and 39?
Enter your answer as an integer or decimal number
Solution :
Given that ,
mean = =39
standard deviation = = 10
P(29< x < 39) = P[(29- 39) /10 < (x - ) / < (39 - 39 ) /10 )]
= P( -1< Z < 0)
= P(Z <0)+P(Z <-1 )
using empirical rule
=0%/2 + 68%/2
=0%+34%
=34%
The maintenance department at the main campus of a large state university receives daily requests to...
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