Spectrum provides cable television and internet service to millions of customers. Suppose that the management of Spectrum subjectively assesses a probability distribution for the number of new subscribers next year in the state of New York as follows. x f(x) 100,000 0.10 200,000 0.20 300,000 0.25 400,000 0.30 500,000 0.10 600,000 0.05 (a) Is this probability distribution valid? Explain. This probability distribution  ---Select--- is is not valid because  ---Select--- −1 ≤ f(x) ≤ 1 f(x) ≤ 0 0 ≤ x ≤ 1 f(x) ≥ 0 for  x = 100,000, 200,000, 300,000, 400,000, 500,000, 600,000.  Also,         f(x) =  . (b) What is the probability Spectrum will obtain more than 400,000 new subscribers?   (c) What is the probability Spectrum will obtain fewer than 200,000 new subscribers?

Question
Spectrum provides cable television and internet service to millions of customers. Suppose that the management of Spectrum subjectively assesses a probability distribution for the number of new subscribers next year in the state of New York as follows.
x
f(x)
100,000 0.10
200,000 0.20
300,000 0.25
400,000 0.30
500,000 0.10
600,000 0.05
(a)
Is this probability distribution valid? Explain.
This probability distribution  ---Select--- is is not valid because  ---Select--- −1 ≤ f(x) ≤ 1 f(x) ≤ 0 0 ≤ x ≤ 1 f(x) ≥ 0 for 
x = 100,000, 200,000, 300,000, 400,000, 500,000, 600,000.
 Also, 
   
 
 
f(x) =  .
(b)
What is the probability Spectrum will obtain more than 400,000 new subscribers?
 
(c)
What is the probability Spectrum will obtain fewer than 200,000 new subscribers?
 

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Statistics

Advanced Topics in Statistics

Related Statistics Q&A

Find answers to questions asked by students like you.

Q: 2.30 The following data on violent crime on Florida col- lege campuses during 2014 are from the FBI ...

A: The data on violent crime on Florida College campuses during 2014 is given:

Q: Identify the TEST for the below scenario and explain why you will choose the test for the analysis: ...

A: Independent samples t-test: Independent samples t test represents the comparing the mean of the two ...

Q: According to a Yale program on climate change communication survey, 71% of Americans think global wa...

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for yo...

Q: The percentage of wins for a basketball team going into the playoffs was 60%. What is the probabilit...

A: Click to see the answer

Q: 2.26 USA TODAY (June 11, 2010) gave the following data on median age for each of the 50 U.S. states ...

A: Given:   Median Age 37.4 32.8 35 37 34.8 35.7 39.5 38.4 35.1 40 34.7 37.5...

Q: Listed below are the amounts of net worth (in millions of dollars) of the ten wealthiest celebrities...

A: Given that, Sample size n=10 Sample mean x¯=171.4 Sample standard deviation s=38.523

Q: Refer to the accompanying data set and construct a 90% confidence interval estimate of the mean puls...

A: First compute the sample mean, sample standard deviation and t-critical value then find the confiden...

Q: The Pew Research Center conducted a survey of 45,535 adults in 40 countries to learnabout major conc...

A: Note: As per our Honor code policy, we are authorized to answer only three sub parts at a time. So, ...

Q: Suppose we are interested in bidding on a piece of land and we know one other bidder is interested. ...

A: We are authorized to answer three subparts at a time, since you have not mentioned which part you ar...

Q: The amount of denim used daily by the Southwest ApparelCompany in its manufacturing process to make ...

A: Given information Average daily demand d = 4000 yards Lead time L = 7 days Standard deviation of the...

Q: A survey of a group's web habits for the past month obtained the following information.38% visited F...

A: Solution: Let A be the event that a person visited Facebook, B be the event that a person visited Li...

Q: The number of girls and boys enrolled for different majors in a community college are as follows. Th...

A: Click to see the answer

Q: The weight of a sophisticated running shoe is normally distributed with a mean of 12 ouncesand a sta...

A: Click to see the answer

Q: Use the sample information x¯x¯ = 44, σ = 6, n = 17 to calculate the following confidence intervals ...

A: Click to see the answer

Q: how does increasing the sample size influence the size of the t statistic in a hypothesis test. How ...

A: Increasing the sample size decreases the width of confidence intervals because it decreases the stan...

Q: A tire store advertises that the average price of a new set of their tires is only $150. One of thei...

A: Given information- Population mean, μ = $150 Sample size, n = 8 Sample mean, x-bar = $156.90 Sample ...

Q: I need help with the red x's

A: a) Null hypothesis: H0 : µ(1) = µ(2) = µ(3) That is, the temperature level has no effect on the mean...

Q: A Industrial Psychology test was written. From a sample of 50 students and it was found that the mea...

A: Click to see the answer

Q: In statistics why can't we accept the null hypothesis?

A: To perform a hypothesis test, it is first necessary to define an assumed set of conditions (Hypothes...

Q: If we correctly summed all deviations from the mean of a distribution (without squaring those deviat...

A: The property of sample mean is that the sum of deviations from the mean is always a zero.

Q: A laboratory blood test is 95% effective in detecting a certain disease when it is in fact, present....

A: Given that, A laboratory blood test is 95% effective in detecting a certain disease when it is in fa...

Q: The number of ants per acre in the forest is normally distributed with mean 43,000 and standard devi...

A: a) Here, we are give with, Mean = 43,000 standard deviation =12,100 variance = (standard deviation)2...

Q: The time it takes students to finish the Statistics Exam is known to be normally distributed with a ...

A: Click to see the answer

Q: Trying to figure out

A: The regression analysis is conducted using EXCEL. The software procedure is given below: Enter the ...

Q: You measure 36 textbooks' weights, and find they have a mean weight of 67 ounces. Assume the populat...

A: Click to see the answer

Q: An ore sample was analyzed for its Fe content. Student A analyzed the sample a total of six times an...

A: From the given information, Sample standard deviation (s1) =1.33 Sample standard deviation (s1) =3.4...

Q: Response Relative Frequency Real Estate 0.35 Stocks & Mutual Funds 0.22 Gold 0.17 Savings 0.15 Bonds...

A: (a) Step by step procedure to draw the bar chart using MINITAB software.   From Bars represent, cho...

Q: Trying to figure out conclusion regarding hypothesis

A: Given that, Null and the alternative hypothesis: The type of test is left tailed test

Q: Suppose a researcher is interested in a new treatment plan for CD4 cell count in immune-compromised ...

A: State the hypotheses That is, the mean CD4 count goal is 329.28 cells/mm3. That is, the mean CD4 c...

Q: In the tables below, the percentage of time that students did not attend class (x), and the percenta...

A: The formula for calculating the slope (b) of the regression line is,  

Q: Which of the following is TRUE about z-scores? The data will always include an observation with a z-...

A: Given: True and False Statement is provided  

Q: Consider a random sample of size n = 41, with sample mean x = 45.5 and sample standard deviation s =...

A: I will use excel to solve this question. https://drive.google.com/file/d/1koVeIPhucxIybSGIiP9q_8...

Q: The durations (minutes) of 26 electric power outages in the community of Sonando Heights over the pa...

A: A) Mean = sum of the counts \ number of counts (32+46+26+67+26+10+59+10+50+3+16+49+38+99+29+22+11+51...

Q: A retail distribution center ships out boxes and claims that their products may be 3% defective. A t...

A: Solution: A retail distribution center claims that their products may be 3% defective.  It is given ...

Q: Consider the following exponential probability density function. 1.-x/3 f(x) = e for x 2 0 3 (a) Wri...

A: We are authorized to answer three subparts at a time, since you have not mentioned which part you ar...

Q: You are testing a claim about a population mean of 24. Find the test statistic given the following s...

A: Here the sample mean is 22, the sample standard deviation is 10 and the sample size is 65.

Q: 1. If a researcher is wrong in his decision and he rejects the null when the null is true, what type...

A: Type I error: The type I error is the rejection of the null hypothesis when it is actually true. Typ...

Q: A mail order company has 12.5% success rate of having people purchase their products.lt mails advert...

A: From the given information, n =686.

Q: You are performing a two-tailed test.If α=.001α=.001, find the positive critical value, to three dec...

A: Given that, You are performing a two-tailed test.Level of significance α=0.001

Q: A study based on a random sample of 10 U.S. female adults reported a sample mean height of 65 inches...

A: Click to see the answer

Q: how to solve?

A: In this case, the population size is N = 20,000, the sample size is n = 200 and the population propo...

Q: Does the sample size ? affect the mean of all possible sample means? Explain your answer.

A: Click to see the answer

Q: #5.53 Explain using probability if they are independent or associated.

A: We have been give the data on the types of TV channel versus the sex of the person. Here we need to ...

Q: Select one card from a deck of well-shuffled cards. What is the probability that we draw an Even Pri...

A: A standard deck consists of 52 playing cards. Each card is in one of 13 denominations: ace (A), 2, 3...

Q: The accompanying data below shows the South African population versus expenditure on new constructio...

A: Regression Equation is given as: y=a+bxy=-183.9941+4.5843x  

Q: applications. He produces a scatterplot with SAT scores on the linear correlation coefficient of 0.5...

A: Given Information

Q: In one town, the number of pounds of leafy greens consumed per person per year has a mean of 10 poun...

A: (1) Standardized z-score:   The standardized z-score represents the number of standard deviations th...

Q: A trimotor plane has three engines—a central engine and an engine on each wing. The plane will crash...

A: Click to see the answer

Q: Suppose that a company owns 400 computers. Each computer has an 11% probability of not working. Supp...

A: Obtain the probability that at least 17 computers are in good condition The probability that at leas...