Answer: See below
Step-by-step explanation:
Answer:
C = $2.40
n = 6
Step-by-step explanation:
For Noelle,
Equation that represents the monthly cost 'C',
C = 0.2n + 1.20
Here, n = number of checks written in a month
For Micah,
Monthly cost for writing checks 'C' = $1.20
Number of checks 'n' = 3
Since, Cost of writing checks ∝ Number of checks written
C' ∝ n
C' = kn
k = ![\frac{C'}{n}](https://tex.z-dn.net/?f=%5Cfrac%7BC%27%7D%7Bn%7D)
Here, k = proportionality constant
For C' = 1.2 and n = 3
k = ![\frac{1.2}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B1.2%7D%7B3%7D)
k = 0.4
Equation will be,
C' = 0.4n
For any month C = C'
Therefore, 0.2n + 1.20 = 0.4n
0.4n - 0.2n = 1.20
0.2n = 1.20
n = 6
Number of checks written by Noelle and Micah = 6
For n = 6,
C = 0.2(6) + 1.20
C = $2.40
Cost of writing checks = $2.40
Answer:
Candidates are chosen without replacement, thus trials are dependent, meaning that Y has a hypergeometric distribution.
Step-by-step explanation:
Difference between hypergeometric and binomial distributions:
In the hypergeometric distribution, trials are dependent of other trials, while in the binomial distribution, they are independent. This can be examplified that in the hypergeometric distribution, the candidates are chosen from a set without replacement, while in the binomial distribution they are chosen with replacement.
In this question:
Candidates are chosen without replacement, thus trials are dependent, meaning that Y has a hypergeometric distribution.