An online store conducted a study to see how many different web pagestheir customers visited (above the minimum necessary) before finding theirdesired product. The study resulted in the discrete probability distribution shownbelow. Let X be the number of pages visited before finding their desiredpage. Using this distribution, compute the expected value of X.30.X-x0123P(X-x) P(XSX)PMFCDF0.46000.46000.32000.78000.18000.96000.0400 1.000029. (For a normal random variable with the mean of 99 and standard deviation of 3, P(X>101.37) is exactly or closest to:Also, please draw a rough sketch of the distribution and make sure to identify the shaded region and X-value.Sample data are collected from an experiment and the sample mean and sample standard deviation of the data are20.087 and 3.861 respectively. The sample size was 35. Given this information, construct a 90% 2-sided confidence intervalfor the mean.

It is given that X be the number of pages visited before finding their desired page. Note:…

Answered: An online store conducted a study to…

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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In the probability distribution to the right, the random variable X represents the number of hits a baseball player obtained in a game over the course of a season. Complete parts (a) through (f) below. P(x) D 0 0.1666 1 0.3347 2 0.2857 3 0.1495 4 0.0383 5 0.0252 (c) Compute and interpret the mean of the random variable X. H= 1.6338 hits (Type an integer or a decimal. Do not round.) Which of the following interpretations of the mean is correct? O A. The observed number of hits per game will be less than the mean number of hits per game for most games. B. Over the course of many games, one would expect the mean number of hits per game to be the mean of the random variable. O C. The observed number of hits per game will be equal to the mean number of hits per game for most games. O D. In any number of games, one would expect the mean number of hits per game to be the mean of the random variable. (d) Compute the standard deviation of the random variable X. a, = 1.182 hits (Round to three…
Senior high school students are randomly selected to gather data on the hours spent per day playing mobile games. The table below shows the probability distribution of X=hours spent playing mobile games. Probability Distribution of X Length (in hours) 0 1 2 3 4 5 6 Probability 0.012 0.062 0.281 0.326 ? 0.112 PALERMORY 0.083 A. Find the missing value for P(X=4) in the given probability distribution. ✓ [Select ] 0.241 0.214 0.142 0.124
As determined from long experience, the number of automobiles rented per hour, X, at the Rent-A Car counter at Honolulu International Airport has the following probability distribution. Automobiles Rented Probability 0 .10 1 .25 2 .45 3 “a” 4 .05 Find the probability of renting between 2 and 4 automobiles (including 2 and 4).
Despite all efforts by the quality control department, the fabric made at benton corporation always contains a few defects. A certain type of fabric made at this corporation contains an average of 0.51 defects per 500 yards. Using the Poisson formula, find the probability that the number of defects in a given 500-yard piece of this fabric will be between two and four.P(between 2 and 4) =
Claims for a health company insurance are exponentially distributed. An insurance company offers the subscriber two different types of insurance, class A has a coverage of 1.54. For a random loss, with a probability of 0.640. Class B has a coverage of d. with a probability of 0.512. The value of d is:
Suppose that the number of traffic accident claims received in a month is modeled by Poisson distribution with intensity λ = 4. Assume that each traffic accident claim takes values $150, $300 or $450 equally likely. Calculate the probability that the total traffic accident claim amounts to exactly $1500.
A university is considering setting up an information desk manned by one employee. Based on information obtained from similar information desks, it is believed that people will arrive at the desk at the rate of 18 per hour. It takes an average of 2 minutes to answer a question. It is assumed that arrivals are Poisson and answer times are exponentially distributed. What is the arrival rate? (Include the units.) What is the service rate? (Include the units.) Find the probability that the employee is idle.
The figure above shows the probability density function for the random variable x. What is P(3≤x<7)?
The mean percent of childhood asthma prevalence in 43 cities is 2.21%. A random sample of 32 of these cities is selected. What is the probability that the mean childhood asthma prevalence for the sample is greater than 2.6%? Interpret this probability. Assume that o= = 1.21%. The probability is (Round to four decimal places as needed.)
Oxygen demand is a term biologists use to describe the oxygen needed by fish and other aquatic organisms for survival. The Environmental Protection Agency conducted a study of a wetland area. In this wetland environment, the mean oxygen demand was μ = 9.9 mg/L with 95% of the data ranging from 6.3 mg/L to 13.5 mg/L. Let x be a random variable that represents oxygen demand in this wetland environment. Assume x has a probability distribution that is approximately normal. (a) Use the 95% data range to estimate the standard deviation for oxygen demand. (b) An oxygen demand below 8 indicates that some organisms in the wetland environment may be dying. What is the probability that the oxygen demand will fall below 8 mg/L? (Round your answer to four decimal places.) (c) A high oxygen demand can also indicate trouble. An oxygen demand above 12 may indicate an overabundance of organisms that endanger some types of plant life. What is the probability that the oxygen demand will exceed 12…
Benford's Law claims that numbers chosen from very large data files tend to have "1" as the first nonzero digit disproportionately often. In fact, research has shown that if you randomly draw a number from a very large data file, the probability of getting a number with "1" as the leading digit is about 0.301. Suppose you are an auditor for a very large corporation. The revenue report involves millions of numbers in a large computer file. Let us say you took a random sample of n = 250 numerical entries from the file and r = 60 of the entries had a first nonzero digit of 1. Let p represent the population proportion of all numbers in the corporate file that have a first nonzero digit of 1. Test the claim that p is less than 0.301 by using α = 0.01. What does the area of the sampling distribution corresponding to your P-value look like? a. The area in the right tail of the standard normal curve. b. The area not including the right tail of the standard normal curve.…

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