Question

this data represents the responses of 200 community college students. the variable is \the number of credit cards\ the students had. what is the probability that a student has at least one credit card?

number of credit cards	0	1	2	3	4	5

o 0.39
o 0.20
o 0.61
o 0.80

what is the probability that a student has at most 4 credit cards?

o 0.96
o 0.04
o 0.97
o 0.01

Explanation:

Step1: Find probability of at least one credit - card

Use the complement rule. The probability of having at least one credit - card is \(P(X\geq1)=1 - P(X = 0)\).
Given \(P(X = 0)=0.61\), so \(P(X\geq1)=1 - 0.61=0.39\).

Step2: Find probability of at most 4 credit - cards

The probability of having at most 4 credit - cards is \(P(X\leq4)=1 - P(X = 5)\).
Given \(P(X = 5)=0.03\), so \(P(X\leq4)=1 - 0.03 = 0.97\).

Answer:

What is the probability that a student has at least one credit card? A. 0.39
What is the probability that a student has at most 4 credit cards? C. 0.97