lizzy2951
19.10.2019 •
Mathematics
The comprehensive strength of concrete is normally distributed with μ = 2500 psi and σ = 50 psi. find the probability that a random sample of n = 5 specimens will have a sample mean diameter that falls in the interval from 2499 psi to 2510 psi.
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Ответ:
The probability that the diameter falls in the interval from 2499 psi to 2510 psi is 0.00798.
Step-by-step explanation:
Let's define the random variable, "Comprehensive strength of concrete". We have information that is normally distributed with a mean of 2500 psi and a standard deviation of 50 psi (or a variance of 2500 psi). In other words, .
We want to know the probability of the mean of X or that falls in the interval . From inference theory we know that :
Now we can find the probability as follows:
Where , then:
Ответ:
w=5
this is correct