Describe the key similarity between a binomial and a geometric distribution.O a) both distributions involve waiting times before successO b) both distributions involve counting successesc) both distributions have independent trialsd) both distributions have dependent trialsSAMSUNG

Since we know that In binomial distribution the probability is same for every trials and each trail…

Answered: Describe the key similarity between a…

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...

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60% of U.S. households have a personal computer. In a random sample of 200 households, what is the probability that at least 115 have a PC? ( hint: use the normal approximation to the binomial distribution)
binomial distribution For each of the following binomial distributions, compute the expected value (mean) variance and standard deviation. a) X binomial distribution with n = 20 trials; probability of success p = 0.6. b) X binomial distribution with n = 15 trials; probability of success p = 0.5. c) X binomial distribution with n = 40 trials; probability of success p = 0.8.
16) A company randomly tests 30 components out of a batch of 10,000 to see if the components are defective. The rate of defectives in the past was known to be 0.02. Does this situation result in a binomial distribution? Yes or No (circle one) In your own words explain how this situation does or does not meet each of the 4 criteria required for all binomial distributions. 1. 2. 3. 4.
Please show the full solution and proper notation and terminology. 3. A data firm records a large amount of data. Historically, 2% of the pages of data recorded by the firm contain errors. A sample of 300 pages is randomly selected. What is the probability that a. What is the probability that fewer than 5 pages contain errors? b. What is the probability that none of the pages contain errors? c. This binomial distribution can be approximated using Poisson if n>20 and np7. If this condition is true, the for Poisson distribution is equal to the mean for the binomial. Evaluate (a) using Poisson approximation if applicable. thanks.
q10
According to the Current Population Survey (Internet Release date: September 2004), 42% of females between the ages of 18 and 24 years lived at home in 2003. (Unmarried college students living in a dorm are counted as living at home). Suppose a survey is administered today to 425 randomly selected females between the age of 18 and 24 years and 204 respond that they live at home. 1. Does this define a binomial distribution? Justify your answer 2. If so, can you use the normal approximation to binomial distribution? Justify your answer and state what the mean and standard deviation of the normal approximation are. 3. Using the binomial probability distribution, what is the probability that at least 204 of the respondents living at home under the assumption that the true percentage is 42%? 4. Using the normal approximation to binomial, what is the probability that at least 204 of the respondents living at home under the assumption that the true percentage is 42%?
A transportation department reported that all domestic airlines in on-time arrivals for domestics’ flights with a rate of 0.825. Using the binomial distribution, what is the probability that in the next six flights, that at least four flights will be on time?
The time taken by a randomly selected applicant for a mortgage to fill out a certain form has a normal distribution with mean value 10 min and standard deviation 2 min. If five individuals fill out a form on one day and six on another, what is the probability that the sample average amount of time taken on each day is at most 11 min? (Hint: you can assume that the results of the two days are independent)
11s
2)Assume that the Binomial conditions are met for the values of n and p. A fair die is thrown 10 times and getting a prime number is treated as a success. i. Find the probability of getting a prime number exactly 2 times. ii. Find the probability of getting a prime number at most 2 times. iii. Find mean, variance and standard deviation for getting a prime number.
Past records indicate that the probability of online retail orders that turn out to be fraudulent is 0.08. Suppose that, on a given day, 18 online retail orders are placed, Assume that the number of online retail orders that turn out to be fraudulent is distributed as a binomial random variable. Complete parts (a) through (d) below. a. What are the mean and standard deviation of the number of online retail orders that tun out to be fraudulent? The mean number of online retail orders that turn out to be fraudulent is (Type an integer or a decimal. Round to four decimal places as needed.) The standard deviation of the number of fraudulent retail orders is. (Type an integer or a decimal. Round to three decimal places as needed.) b. What is the probability that zero online retail orders will turn out to be fraudulent? (Type an integer or a decimal. Round to four decimal places as needed.) c. What is the probability that one online retail order will turn out to be fraudulent? (Type an…
Q25.If the records show that, the probability of failing (with grade F) this course is p, [use the answer of question 22 above as the probability, p, here], what is the probability that at most 2 students out of 16 fail this course? {Hint: use binomial distribution}

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Describe the key similarity between a binomial and a geometric distribution. O a) both distributions involve waiting times before success O b) both distributions involve counting successes c) both distributions have independent trials d) both distributions have dependent trials 国 SAMSUNG