Let X be a continuous random variable with probability density function /3, for z€ (0, K), otherwise. Based on this information, the value of K must be Number (be exact in your response), and the cumulative distribution funiction defined on the Interval ar e (0, K] is F(a) Suppose we want to use the code below to generate 100 pseudorandom observations from the distribution described above using the Python.code below. What function of r must be returned by Finv (X) (where 227 appears)? answer, and be sure to use the correct independent variable). (do not use Python syntax in yout What variable name must appear in place of in order to achieve the desired result? (enter a variable name not a number). import numpy as np a1664525 b-1013904223 m223 u- 2021 det Finv (x) return 222 for i in range (100) U mp.mod (a urb, m) peint (Finv (N)
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!
![Let X be a continuous random variable with probability density function
2/3, for z€ (0, K),
f(2)
otherwise,
Based on this information, the value of K must be Number
(be exact in your response), and the cumulative distribution funiction defined on the
Interval ar e (0, K] 1s F(x) =
Suppose we want to use the code below to generate 100 pseudorandom observations from the distribution described above using the Python code below.
What function of r must be returned by Finv (x) (where 27 appears)?
answer, and be sure to use the correct independent variable)
(do not use Python syntax in your
What variable name must appear in place of in order to achieve the desired result?
(enter a variable name not a number).
import numpy as np
a 1664525
b 1013904223
m-2**23
u- 2021
det Finv (x):
return 722
for i in range (100):
unp.mod (a*ueb, m)
print (Finv (x))](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4f38a679-86ce-41b8-8f13-e3da3ba0ba76%2Faf6c6f43-7c70-4a0b-8ae1-5358a6f65a9c%2Fgrw307h_processed.jpeg&w=3840&q=75)
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