Approximately 10% of all people are left-handed ("11 little-known facts," 2013). Consider a grouping of fifteen people.

QUESTION IN BOLD

Using the formula (page 166, noting that nCr=n!/(nr)!r!), this website(Links to an external site.), Excel or another tool of your choice, or RStudio (codes found on page 166), find the probability that none are left-handed, rounded to 4 decimal places. Hint: sketch a histogram with the numbers 0 through 15 on the horizontal axis, counting the number of "lefties" in the group, with bars that are small for 0, medium for 1, big for 2, medium for 3, and decreasing in size for 4 through 15. The probability that the number of lefties in the group is equal to some number is exactly the area/height of its corresponding bar. The probability that the number of lefties in the group is less than some number is exactly the total areas/heights of the bars to its left. Similar conclusions can be drawn about "more than," "at least," and "at most." Youmust be able to do these types of problems in RStudio, but once you get the hang of it, this website may be useful to do it quicker if you're not logged into rhive.

NEXT QUESTION: QUESTION IN BOLD

Consider Section 5.2.3 Homework Problem 1. Using the formula (page 166, noting that nCr=n!/(nr)!r!), this website(Links to an external site.), Excel or another tool of your choice, or RStudio (codes found on page 166), find the probability that at least 2 are left-handed, rounded to 4 decimal places. Hint: sketch a histogram with the numbers 0 through 15 on the horizontal axis, counting the number of "lefties" in the group, with bars that are small for 0, medium for 1, big for 2, medium for 3, and decreasing in size for 4 through 15. The probability that the number of lefties in the group is equal to some number is exactly the area/height of its corresponding bar. The probability that the number of lefties in the group is less than some number is exactly the total areas/heights of the bars to its left. Similar conclusions can be drawn about "more than," "at least," and "at most." Youmust be able to do these types of problems in RStudio, but once you get the hang of it, this website may be useful to do it quicker if you're not logged into rhive.

NEXT QUESTION:QUESTION IN BOLD

Consider Section 5.2.3 Homework Problem 1. Using the formula (page 166, noting that nCr=n!/(nr)!r!), this website(Links to an external site.), Excel or another tool of your choice, or RStudio (codes found on page 166), find the probability that fewer than 7 are left-handed, rounded to 4 decimal places. Hint: sketch a histogram with the numbers 0 through 15 on the horizontal axis, counting the number of "lefties" in the group, with bars that are small for 0, medium for 1, big for 2, medium for 3, and decreasing in size for 4 through 15. The probability that the number of lefties in the group is equal to some number is exactly the area/height of its corresponding bar. The probability that the number of lefties in the group is less than some number is exactly the total areas/heights of the bars to its left. Similar conclusions can be drawn about "more than," "at least," and "at most." Youmust be able to do these types of problems in RStudio, but once you get the hang of it, this website may be useful to do it quicker if you're not logged into rhive.