The strength of concrete blocks follows a Normal distribution with mean 37 megapascals (MPa) and standard deviation 16 MPa, i.e. X ∼ N(37, 16). i. Use the output below to determine the probability that a randomly chosen block has strength higher than 40 MPa, i.e. P(X > 40)
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The strength of concrete blocks follows a
(MPa) and standard deviation 16 MPa, i.e. X ∼ N(37, 16).
i. Use the output below to determine the probability that a randomly chosen block has strength higher than 40 MPa, i.e. P(X > 40)
![pnorm(40, mean =
37, sd =
16)
[1] 0.5743657
pnorm(40, mean =
37, sd =
16, lower.tail = FALSE)
[1] 0.4256343
pnorm(16, mean =
37, sd
40)
[1] 0.2997916
pnorm(16, mean =
37, sd = 40, lower.tail = FALSE)
[1] 0.7002084](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe6e636e7-d926-467f-8992-f2860e2db250%2F66773252-4644-4a3a-9723-0e2865373d85%2F1491p7_processed.png&w=3840&q=75)
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