Answered: 2. Find E(X) and Var(X) if a. P(X = 0)…

2. Find E(X) and Var(X) if a. P(X = 0) = 0.2, P(X = 1) = 0.3, and P(X = 2) = 0.5. b. X is the number of successes in 200 Bernoulli trials each with probability of success 0.7.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

You are a researcher who wants to know what the mean (µ) level of anxiety would be for the whole population if they were all receiving a new anti-anxiety therapy. You can’t give the therapy to the whole population, so you give it to a sample, and you get M = 32.1 as the average anxiety level for the sample on the therapy. What is the reason that you can’t just simply assume that µ = 32.1? You didn’t use random assignment Sampling error Descriptive statistics Inferential statistics
A researcher administers a treatment to a sample of n=36 selected from a population with u=30 and o=2. If the sample mean after treatment is M=32, then Cohen’s d=1.00. True or False?
A research report concludes that there are significant differences among treatments, with "F(3, 28) = 5.62, p < .01, η2 = 0.28." If the same number of participants was used in all of the treatment conditions, then how many individuals were in each treatment? a. 6 b. 8 c. 9 d. cannot determine without more information
3. In an experiment on immunization of cattle from tuberculosis, the following results were obtained : Affected Not affected Inoculated 12 26 Not inoculated 16 6 Calculate x and discuss the effect of vaccine in controlling susceptibility to tuberculosşis (5% value of x for one degree of freedom = 3.84).
A research center claims that 31% of adults in a certain country would travel into space on a commercial flight if they could afford it. In a random sample of 700 adults in that country, 34% say that they would travel into space on a commercial flight if they could afford it. At α=0.10, is there enough evidence to reject the research center's claim? 1. Let p be the population proportion of successes, where a success is an adult in the country who wouuld travel into space on a commercial flight if they could afford it. State the H0 and the Ha. 2. Identify the standardized statistic and round 2 decimals if needed. 3. Identify the p value. 4. Decide whether to reject or fail to reject the null hypothesis adn interpret the decision in the context of the original claim. (Reject or fail to reject) the null hypothesis. There (is or is not) enough evidence to (reject or support) the researcher's claim.
The manager of the city pool has scheduled extra lifeguards to be on staff for Saturdays. However, he suspects that Fridays may be more popular than the other weekdays as well. If so, he will hire extra lifeguards for Fridays, too. In order to test his theory that the daily number of swimmers varies on weekdays, he records the number of swimmers each day for the first week of summer. Test the manager’s theory at the 0.01 level of significance. Swimmers at the City Pool Monday Tuesday Wednesday Thursday Friday Number 64 46 41 56 70 Copy Data Step 2 of 4 : Calculate the expected value for the number of swimmers on Tuesday. Enter your answer as a fraction or a decimal rounded to three decimal places.
A research center claims that 28% of adults in a certain country would travel into space on a commercial flight if they could afford it In a random sample of 1200 adults in that country, 32% say that they would travel into space on a commercial flight if they could afford it. At a=D0.01, is there enough evidence to reject the research center's claim? Complete parts (a) through (d) below. Let p be the population proportion of successes, where a success is an adult in the country who would travel into space on a commercial flight if they could afford it. State H, and H,. Select the correct choice below and fill in the answer boxes to complete your choice. (Round to two decimal places as needed.) O A. Ho p2 O B. Ho p O C. Ho P> Ha p (b) Use technology to find the P-value. Identify the standardized test statistic. %3= (Round to two decimal places as needed.) Identify the P-value. P = (Round to three decimal places as needed.) Next Textbook Calculator 6:56 PM 65°F 23 12/6/2021 99+ Type here…
A research center claims that 31% of adults in a certain country would travel into space on a commercial flight if they could afford it. In a random sample of 800 adults in that country, 33% say that they would travel into space on a commercial flight if they could afford it. At a =0.01, is there enough evidence to reject the research center's claim? Complete parts (a) through (d) below. C No more than % of adults in the country would travel into space on a commercial ight it they could attord it. Let p be the population proportion of successes, where a success is an adult in the country who would travel into space on a commercial flight if they could afford it. State Ho and H Select the correct choice below and fill in the answer boxes to complete your choice. (Round to two decimal places as needed.) OA Ho: ps OB. Ho: p> OC. Ho: p H p= Ha:p> H ps VE Ho: p= 0.31 O D. Ho: p< OF H: p2 H: p2 H p 0.31 (b) Use technology to find the P-value. Identify the standardized test statistic. z= 1.22…
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.…