The manager of the assembly line can adjust the rate of production of Choc-pricots, resulting in achange in the probability that a randomly selected Choc-pricot is imperfect. This probability can bemodelled by the functionp(x) = sin(0.00392x²)+e, for 0 (c) Using the function p(x), determine the possible rate(s) of production that resulted in the givenprobability of 0.15 stated in part (a).(d) The minimum probability that a randomly selected Choc-pricot is imperfect, according to thefunction p(x), is 0.0781 (correct to three significant figures).State the corresponding rate of production that would result in this probability.page 8 of 15

It is given that x, a random variable denotes the rate of production measured in Choc-pricots per…

Answered: (c) Using the function p(x), determine…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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(a) Determine the value of k for a valid pdf.(b) Complete the cdf of X .(c) What is the expected total deduction on a randomly chosen form?(d) Let Y = ln(X /5), where ln(·) is natural logarithm. Determine the pdf as wellas the cdf of Y , and further identify which common distribution that Y follows?
The time t (in hours) required for a new employee to succesfully learn to operate a machine in a manufacturing process is described by the probability function f(t) = kt/16 – t for 0
Vanessa has a utility function for income given by U(I) = VI %3D (that is the square root of income). Because of the nature of her utility function, we know that Vanessa is risk averse. Vanessa is considering an investment that would give her an income of $10,000 with a probability of 0.5 or an income of $15,000 with a probability of 0.5. The expected utility of this investment is (rounded to 2 decimal places): O A. 111.24 O B. 113.48. O C. 118.35. O D. 125.00.
For each of the following situations, write down the likelihood function L(θ), where θ is the probability of heads for the coin described. You toss a coin 50 times and see that it came up heads 35 times and tails 15 times. You toss a coin 100 times and see that it came up heads 54 times and tails 45 times. You don't know which way it came up the last time because it rolled into a drain was lost. You decide to toss a coin until it comes up heads the first time and then toss it 10 more times. It first comes up heads on the third toss and then comes up heads 5 more times in 10 tosses.
Compute P(X) using the binomial probability formula. Then determine whether the normal distribution can be used to estimate this probability. If so, approximate P(X) using the normal distribution and compare the result with the exact probability. n=56 p=0.5 x=30 A)For n=56, p=0.5, and X=30, use the binomial probability formula to find P(X). B)Can the normal distribution be used to approximate this probability? A. No, because np(1−p)≤10 B. Yes, because np(1−p)≥10 C. Yes, because np(1−p)≥10 D. No, because np(1−p)≤10 C) Approximate P(X) using the normal distribution. Use a standard normal distribution table. A. P(X)=enter your response here (Round to four decimal places as needed.) B. The normal distribution cannot be used. D) By how much do the exact and approximated probabilities differ? A.enter your response here (Round to four decimal places as needed.) B. The normal distribution cannot be used. E)By…
6b
A coin which has probability 0.83 of coming up Heads is tossed three times. Let Y be the number of Tails observed. Find E(Y2), giving your answer correct to two decimal places. Answer:

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