Chapter 5 Discussion
Given a binomial probability distribution with n = 13 and p = .35, the probability of exactly one success is: P(1)=13!1!â‹…12!â‹…(0.35)1â‹…(0.65)12=0.0259
NOTES:
- Probability is rounded 3 significant digits.
- Probability is the likelihood of something occurring, it has NO units, it can be left as a decimal (rounded 3 significant digits) or it can be written as a percent…for this probability the percent notation would be 2.59%
Show work on all questions. Include correct statistical notation, parentheses when needed for order of operations, correct rounding to 3 significant digits. Units of measure is ‘successes’ for the mean, the standard deviation, and the lower and upper limits of Range Rule of Thumb.
1. Given a binomial probability distribution with n = 13 and p = .35, show the binomial formula with correct values in it and use it find the probability of exactly zero successes. Rules of rounding require 3 significant digits.
2. Use probability to explain why one is a significantly small number of successes out of 13 trials. Explain using statistical language and find P(x≤ 1) showing work with proper notation to explain this.
3. Calculate the mean and standard deviation for this distribution show the math used. Include correct statistical symbols of μ for mean (or use the word mu) and σ for standard deviation (or use the word sigma) – symbols from word documents do not copy well in discussion so insert them using the “square root of x†symbol and “operators†tab from the formatting menu bar above your reply. Show the math used for these calculations.
4. Is 1 success out of 13 trials significantly small? Use Range Rule of Thumb (show the math used for the calculation) to explain why one is or is not a significantly small number of successes out of 13 trials. Be detailed, use statistical values, and statistical language – write a sentence that has correct spelling and punctuation.
Reply
"96% of our customers have reported a 90% and above score. You might want to place an order with us."
