Answer:
the probability that a randomly selected item weighs exactly 8 ounces is 0.5
Explanation:
We need to convert this into z score. The z score is used in probability to calculate the probability of a score occurring within our normal distribution.
The equation for z score(z) is given by:
[tex]z=\frac{x-u}{s}[/tex]
where u is the mean, s is the standard deviation.
In this problem, the mean(u) = 8, the standard deviation(s) = 2 and x = 8
[tex]z=\frac{8-8}{2}=\frac{0}{2}=0[/tex]
for the probability that a randomly selected item weighs exactly 8 ounces:
P(x = 8) = P(z=0) = 0.5(from the normal distribution tables)
