Consider two x distributions corresponding to the same x distribution with u o = 9.5. The first x is based on the samples of size n = based on the samples of n = 95. You calculate the probability P(58 < X < 61) for both x distributions. What can you say about the calculated probabilities of the first and second x = 60 and 40 and the second distribution is distributions? Select one: a. The calculated probability of the second x distribution is higher than the calculated probability of the first x distribution because of the larger sample size taken from the sece x distribution and the standard deviation of the second x distribution is smaller. Oh W e cannot oglouloto
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
![Consider two x distributions corresponding to the same x distribution with u = 60 and
o = 9.5. The first x is based on the samples of sizen = 40 and the second distribution is
based on the samples of n = 95. You calculate the probability P(58 < X < 61) for both x
distributions. What can you say about the calculated probabilities of the first and second x
distributions?
Select one:
O a. The calculated probability of the second x distribution is higher than the calculated
probability of the first x distribution because of the larger sample size taken from the second
x distribution and the standard deviation of the second x distribution is smaller.
b. We cannot calculate the probabilities for both x distributions because the sample sizes
for both are not enough.
Oc. The calculated probability of the first x distribution is higher than the calculated
probability of the second x distribution because of the smaller sample size taken for the first
distribution and the standard deviation of the firstx distribution is larger.
d. The calculated probabilities of both x distributions are the same. The sample size has no
effect on the sample size taken from both distributions.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2003d332-f35a-4e8d-8a41-5d3fb7e691ff%2F823c1530-c10a-4f7b-bedc-3b7ea9354193%2Fvxtn8za_processed.jpeg&w=3840&q=75)
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