Question 30A randomly selected realtor's monthly commission (in thousands) can be estimated by a random variablethat follows F-distribution with parameters (14,4). Let X be the monthly commission of a randomlyselected realtor.1. Describe the distribution of X:(dfn= 142. Use the random variable notation to express symbolically each of the following:The probability of an event in which the monthly commission (in thousands)of a randomly selected realtor is less than 7.9.P(X<7.9)X-FX<7.1✓An event in which the monthly commission (in thousands) of a randomlyselected realtor is less than 7.1.P(X<13.1)=0.99 The probability of an event in which the monthly commission (in thousands)of a randomly selected realtor is less than 13.1 is equal to 0.99.ii. more than 7.9:3. Use technology to find the probability that the monthly commission (in thousands) of a randomlyselected realtor is:i. less than 7.1:iii. between 0.4 and 8:,dfd-4iv. more than 72.4:v. less than 98.3:4. Find the 11-th percentile:0.04 x (round the answer to 2 decimal places)0.97 x (round the answer to 2 decimal places)0.88 ✓(round the answer to 2 decimal places)0.00 ✓(round the answer to 2 decimal places)1.00 ✓(round the answer to 2 decimal places)11% 3.65x (round the answer to 2 decimal places)

by bartleby policy i can gives only 3 subparts answers at a time A randomly selected realtor's…

Answered: A randomly selected realtor's monthly…

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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Suppose the probability distribution of x, the number of defective tires on a randomly selected car checked at a certain inspection station, is given in the following table. 이 p(x) 0.60 0.14 0.05 0.03 0.18 X 0 1 (a) Calculate the mean value of x. 2 3 4 (b) What is the probability that x exceeds its mean value?
A company has seven applicants for two positions: three women and four men. Suppose that the seven applicants are equally qualified and that no preference is given for choosing either gender. Let x equal the number of women chosen to fill the two positions. (a) Write the formula for p(x), the probability distribution of x. (b) What are the mean ? and variance ?2 of this distribution? (Round your mean to one decimal place and your variance to two decimal places.)
A shipment of 7 television sets contains 2 defective sets. A hotel makes a random purchase of 3 of the sets. If X is the number of defective sets purchased by the hotel, (a) find the probability distribution of X, express it in a table format. Probability distribution of X X P(X) (b) Find the cdf of X. (c) Find the E(X) and Var(X)
Please answer the question in the photo! thanks!
Let X represent the number of homes a real estate agent sells during a given month. Based on previous sales records, she estimates that P(0)= 0.62, P(1)= 0.21, P(2)= 0.13, P(3)= 0.03, P(4)= 0.01, with negligible probability for higher values of x. Find the long-term average number of homes the real estate agent expects to sell each month.
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
Trials in an experiment with a polygraph include 96 results that include 23 cases of wrong results and 73 cases of correct results. Use a 0.01 significance level to test the claim that such polygraph results are correct less than 80% of the time. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method. Use the normal distribution as an approximation of the binomial distribution. Let p be the population proportion of correct polygraph results. Identify the null and alternative hypotheses. Choose the correct answer below. O A. Ho: p=0.20 B. Ho: p=0.80 H;: p>0.20 H,: p0.80 OF. Ho: p=0.80 O E. Ho: p=0.20 H1: p<0.20 H,: p#0.80 The test statistic is =|: (Round to two decimal places as needed.)
Suppose the probability distribution of x, the number of defective tires on a randomly selected car checked at a certain inspection station, is given in the following table. 1 4 p(x) 0.54 0.18 0.07 0.03 0.18 (a) Calculate the mean value of x. (b) What is the probability that x exceeds its mean value?
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