roadmap 4assignment PDF

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Kelsey_Griffith_Roadmap4assessment kelsey griffith 30/03/2021 ###Question 1 #Question 1a: probability of a single American adult woman being taller than 180 cm (1-pnorm(2.71875)) ## [1] 0.003276456 #pnorm returns the area under the PDF curve below a given x value, that is the area to the left of x. #Question 1c: probability that the mean height of these 10 women is 180 cm or higher pnorm(-8.6) ## [1] 3.985805e-18

###Question 2 #Question 2a: probability that the student does not get any questions correct (7 questions, 4 possible answers) dbinom(0,7,0.25) ## [1] 0.1334839 #Question 2b: #The binomial model requires that the result of a trial to be only a success or a failure, furthermore, the trials must be independent and there must be a fixed number of these independent trials.

###Question 3: #in a poisson model: #kis the number of occurrences (i.e. successes) that occur in an interval. #μ is the mean number of occurrences per unit time (or space). #e is roughly equal to 2.71828 #Question 3a: probability of finding 10 dandelions in 1 m2 dpois(10,7) ## [1] 0.07098327 #is the probability of x successes in a period when the expected number of events is lambda

#Question 3b: probability of finding 100 dandelions in 1 m2 dpois(100,7) ## [1] 3.160378e-77 #Question 3c:The probability of finding 10 dandelions is much higher than the probability of finding 100 dandelions in an area of 1m2 ##Question 3d: assumptions required for the poisson probability model: #• The occurrences (successes) must be independent of each other #• The occurrences are random #• The occurrences occur with equal probability at every interval in time (or spaces/area/volume ect)...