-(0.298x+0.596)Find c such that the function f(x)= acerange x>0.812.Select one:O a. 0.59104815O b. 0.68888165O c. 7.96525582Od. 1.87708691O e. 5.24733884is a valid probability distribution over the

Given the function want to find the value of such a given function is a probability distribution…

Answered: -(0.298x+0.596) Find c such that the…

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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For each probability expression, find the unknown z- value(s). Unless directed otherwise, use three decimals in your answers. (a) P(Z ≤ zo) = 0.86. Find zo. 20 (b) P(Z ≤ zo) = 0.24. Find zo. 20 = 20 (c) P(Z ≥ zo) = 0.4. Find zo. = 20 = (c) P(z0 ≤ Z ≤ 0.64) = 0.5988. Find zo. = (use two decimals)
Find the value of a using probability (z-table): P[-a < Z < a] = 0.7994
The average number of emergency telephone calls to the fire station in a certain area in 't' minutes is (t/80). If the probability that no emergency call is made to the fire station in a period of 'k' minutes is 0.9, find 'k'. * 8.429 8.249 5.745 9.326
Suppose Y - Uniform(01, 02) where the parameters and 02 take the values 1 and 5 respectively. Compute the probability P(Y < y) when y=4.71.
If X is distributed t2s then what is the probability X is less than or equal to 1.7(Pr (X ≤ 1.70))? 0.70 0.92 0.05 0.95
Q1A Suppose that the probability of finding defectives within a manufactured lot of electrical fuses is 0.09. Assume the probability distribution function (PDF) is binomial. Let X be the number of defectives within the sample. In a sample of 25 fuses, find the probabilities: (a) P(X 2), (b) P(X > 0), (c) P(1 ≤ X < 4). === B Suppose the discrete random variable X has the PDF as in the table below. Find: (a) F(7), (b) E(4-3X). I 4 6 7 8 9 f(x) 0.2 0.25 0.15 0.3 0.1
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…
Let X be a random variable corresponding to the number of shoppers that enter a mall at a given time of the day. It X is known to be a Poisson variable with an average of 10 shoppers per minute, determine the probability that there are 12 shoppers who will enter the mall in the next 90 seconds. Select the correct response: 0.1024 0.0829 0.0956 0.1298
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 = 53, p = 0.7, and X=41 For n = 53, p=0.7, and X=41, use the binomial probability formula to find P(X). 0.0632 (Round to four decimal places as needed.) Can the normal distribution be used to approximate this probability? OA. Yes, because √np(1-p) ≥ 10 OB. No, because np(1-p) ≤ 10 OC. No, because √np(1-p) ≤ 10 OD. Yes, because np(1-p) 2 10
Dunkin donuts joint receives orders distributed X ∼ Poisson(λ = 1.6), where X denotes ”number of donuts ordered per second”. The store is overwhelmed when more than 120 orders are placed a minute. What is the probability that the store becomes overwhelmed in a given minute?
Compute P(X) using the binomial probability formula. Then detemine whether the nomal 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= 40, p= 0.35, and X= 25 ...... . P(X)=(Round to four decimal places as needed.) Can the normal distribution be used to approximate this probability? O A. Yes, the normal distribution can be used because np(1- p)<10. O B. No, the normal distribution cannot be used because np(1 - p)< 10. O C. Yes, the normal distribution can be used because np(1-p) 10. O D. No, the normal distribution cannot be used because np(1-p) 2 10. Approximate P(X) using the normal distribution. Use a standard normal distribution table. Select the correct choice below and fill in any answer boxes in your choice. O A. PX)=A (Round to four decimal places as needed.) O B. There is no solution. By how much do the exact and approximated probabilities differ? Select the correct…
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-(0.298x+0.596) Find c such that the function f(x)= ace range x>0.812. Select one: O a. 0.59104815 O b. 0.68888165 O c. 7.96525582 O d. 1.87708691 e. 5.24733884 is a valid probability distribution over the