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Please provide detailed solutions to the following problems/exercises
1) Find the following probabilities:
a) P (0 ≤ Z ≤ .5)
b) P (Z ≤ .5)
c) P (Z ≤ -.5)
d) P (Z ≥ .5)
e) P (- .5 ≤ Z ≤ .5)
2) Dearborn Tech produces a circuit board that has an average life span of 4,500 hours. The life span is normally distributed with a standard deviation of 500 hours. The firm is considering a 3,800 hours' warranty on the circuit board. If this warranty policy is adopted, what proportion of circuit boards should the firm expect to replace under warranty?
3) Suppose that the distribution of a random variable X is approximately exponential with a mean of 10:
a) What is the P (X ≥ 8)?
b) What is the P (X ≤ 11)?
c) What is the P (6 ≤ X ≤ 10)?
d) What is the standard deviation of X?
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To estimate the average annual expenses of students on books andclass materials a sample of size 36 is taken. The mean is850$ and the standard deviation is 54$. A 99% confidenceinterval for the population mean is:
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Calculate the mass of silver chloride, AgCl, and dihydrogen monosulfide, H2S, formed when 85.6 g of silver sulfide, Ag2S, reacts with excess hydrochloric acid, HCl.
What do older adults in life have to say about meaning of life? What advice would they give to those younger on how to live a meaningful and productive life? Why or Why not? Pls answer in 130 words or less.
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