SOLUTION: U=101 and o=10 and given you select a sample of n=4. What is the probability that x is less than 92? What is the probability between 92 and 94.5? What is the probability above 1

Algebra ->  Probability-and-statistics -> SOLUTION: U=101 and o=10 and given you select a sample of n=4. What is the probability that x is less than 92? What is the probability between 92 and 94.5? What is the probability above 1      Log On


   

Question 859041: U=101 and o=10 and given you select a sample of n=4. What is the probability that x is less than 92?
What is the probability between 92 and 94.5?
What is the probability above 101.2?
Found 2 solutions by ewatrrr, stanbon:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

m = 101,  SD = 10,  n = 4, sd%5Bsample%5D+=+10%2Fsqrt%284%29+=+highlight%285%29

TI syntax is normalcdf(smaller, larger, µ, σ).

P(x < 92) = normalcdf(-999, 92, 101, 5)   |Note: -999 a place-holder for smaller)

P(92 ≤ x ≤ 94.5)= normalcdf(92, 94.5, 101, 5)

P(x > 101.2) = 1 - normalcdf(101.2, 999, 101, 5)

IF using z-value

P(x < 92) = P(z < -9/5)

etc

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
U=101 and o=10 and given you select a sample of n=4. What is the probability that x is less than 92?
What is the probability between 92 and 94.5?
z(92) = (92-101)/10 = -9/10
z(84.5) = (94.5-101)/10 = -0.65
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P(92 < x < 94.5) = P(-0.9 ------------------------------------------------------
What is the probability above 101.2?
z(101.2) = (101.2-101)/10 = 0.2/10 = 0.002
P(x > 101.2) = P(z > 0.002) = 0.4992
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Cheers,
Stan H.
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