AP STATISTICS UNIT 5 PROGRESS CHECK MCQ PART COMPLETE
QUESTIONS AND VERIFIED SOLUTIONS
1. Binary: There only two outcomes (success and failure)
2. Independent: The events independent of one another?
3. Number: There is a fixed number of trials
4. Success: The probability of success equal in each trial
◉ What method do you use to check if a distribution or probability
is geometric? Answer: BITS:
1. Binary: There only two outcomes (success and failure)
,2. Independent: The events independent of one another
3. Trials: There is not a fixed number of trials
4. Success: The probability of success equal in each trial
◉ n Answer: number of trials
◉ p Answer: probability of success
◉ k Answer: number of successes
◉ Binomial Formula for P(X=k) Answer: (n choose k) p^k (1-p)^(n-
k)
◉ Binomial Calculator Function to find P(X=k) Answer:
binompdf(n,p,k)
◉ Binomial Calculator Function for P(X≤k) Answer: binomcdf(n,p,k)
◉ Binomial Calculator Function for P(X≥k) Answer: 1-
binomcdf(n,p,k-1)
◉ mean of a binomial distribution Answer: np
, ◉ standard deviation of a binomial distribution Answer: √(np(1-p))
◉ Geometric Formula for P(X=k) Answer: (1-p)^(k-1) x p
◉ Geometric Calculator Function to find P(X=k) Answer:
geometpdf(p,k)
◉ Geometric Calculator Function for P(X≤k) Answer: geometcdf(p,k)
◉ Geometric Calculator Function for P(X≥k) Answer: 1-
geometcdf(p,k-1)
◉ Mean of a geometric distribution Answer: 1/p=expected number
of trials until success
◉ Standard deviation of a geometric distribution Answer: √((1-
p)/(p²))
◉ What do you do if the binomial probability is for a range, rather
than a specific number? Answer: Take binomcdf(n,p,maximum) -
binomcdf(n,p,minimum-1)
QUESTIONS AND VERIFIED SOLUTIONS
1. Binary: There only two outcomes (success and failure)
2. Independent: The events independent of one another?
3. Number: There is a fixed number of trials
4. Success: The probability of success equal in each trial
◉ What method do you use to check if a distribution or probability
is geometric? Answer: BITS:
1. Binary: There only two outcomes (success and failure)
,2. Independent: The events independent of one another
3. Trials: There is not a fixed number of trials
4. Success: The probability of success equal in each trial
◉ n Answer: number of trials
◉ p Answer: probability of success
◉ k Answer: number of successes
◉ Binomial Formula for P(X=k) Answer: (n choose k) p^k (1-p)^(n-
k)
◉ Binomial Calculator Function to find P(X=k) Answer:
binompdf(n,p,k)
◉ Binomial Calculator Function for P(X≤k) Answer: binomcdf(n,p,k)
◉ Binomial Calculator Function for P(X≥k) Answer: 1-
binomcdf(n,p,k-1)
◉ mean of a binomial distribution Answer: np
, ◉ standard deviation of a binomial distribution Answer: √(np(1-p))
◉ Geometric Formula for P(X=k) Answer: (1-p)^(k-1) x p
◉ Geometric Calculator Function to find P(X=k) Answer:
geometpdf(p,k)
◉ Geometric Calculator Function for P(X≤k) Answer: geometcdf(p,k)
◉ Geometric Calculator Function for P(X≥k) Answer: 1-
geometcdf(p,k-1)
◉ Mean of a geometric distribution Answer: 1/p=expected number
of trials until success
◉ Standard deviation of a geometric distribution Answer: √((1-
p)/(p²))
◉ What do you do if the binomial probability is for a range, rather
than a specific number? Answer: Take binomcdf(n,p,maximum) -
binomcdf(n,p,minimum-1)