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1) Determine the area under the standard normal curve that lies to the left of (a)Z=1.31 (b)Z=1.06 (c)Z=0.57 and (d)Z=0.14.
2) Determine the area under the standard normal curve that lies to the right of (a)Z=0.64 (b)Z=-1.78 (c)Z=0.93 and (d)Z=0.59
3) Determine the area under the standard normal curve that lies between (a)Z=-0.64 and Z=0.64, (b)Z=-2.38 and Z=0, and (c) Z=-0.65 and Z=1.23
4) Find the Z-score such that the area under the standard normal curve to the right is 0.15
5) Find the z-scores that separate the middle 95% of the distribution from the area in the tails of the standard normal distribution.
6) Find the value of zα α=0.18
7) Assume the random variable X is normally distributed with mean μ=50 and standard deviation
σ=77 Find the 97th percentile.
8) The mean incubation time for a type of fertilized egg kept at 100.33°F is 22 days. Suppose that the incubation times are approximately normally distributed with a standard deviation of 2 days.
(a)What is the probability that a randomly selected fertilized egg hatches in less than
20 days?
(b) What is the probability that a randomly selected fertilized egg takes over
24 days to hatch?
(c) ) What is the probability that a randomly selected fertilized egg hatches between
18 and 22 days?
(d) Would it be unusual for an egg to hatch in less than
19 days? Why?
9) Suppose that the lifetimes of light bulbs are approximately normally distributed, with a mean of 56hours and a standard deviation of 3.3hours. With this information, answer the following questions.
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