A person's level of blood glucose and diabetes are closely related. Let x be a random variable measured in milligrams of glucose per deciliter (1/10 of a liter) of blood. Suppose that after a 12-hour fast, the random variable x will have a distribution that is approximately normal with mean μ = 85 and a standard deviation of σ = 26. What is the probability that, for an adult after a 12-hour fast, x is more than 46? Round your answer to the nearest thousandth.
0.467
0.217
0.433
0.033
0.933
Solution :
Given that ,
mean =
= 85
standard deviation =
= 26
P(x >46 ) = 1 - P(x <46 )
= 1 - P[(x -
) /
< (46- 85) /26 ]
= 1 - P(z <-1.5 )
= 1 - 0.066 = 0.9332
PROBABILITY = 0.933
Answer = 0.933
A person's level of blood glucose and diabetes are closely related. Let x be a random...
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