The accompanying table shows, for credit-card holders with one to three cards, t

Question

The accompanying table shows, for credit-card holders with one to three cards, the joint probabilities for the number of cards owned (X) and number of credit purchases made in a week (Y). Complete parts a through c below. Number of Cards (X) Number of Purchases in Week (Y) 0 1 2 3 4 1 0.080.08 0.130.13 0.090.09 0.070.07 0.030.03 2 0.020.02 0.080.08 0.080.08 0.090.09 0.060.06 3 0.010.01 0.020.02 0.060.06 0.080.08 0.100.10 a. For a randomly chosen person from this group, what is the probability distribution for the number of purchases made in a week? Number of Cards (X) Number of Purchases in Week (Y) 0 1 2 3 4 X nothing nothing nothing nothing nothing (Type integers or decimals rounded to two decimal places as needed.)

Explanation / Answer

For a randomly chosen person from this group, what is the probability distribution for the number of purchases made in a week?

P(Y=1)=0.08+0.02+0.01
           =0.11
P(Y=2)=0.13+0.08+0.02
          =0.23
P(Y=3)=0.13+0.08+0.02
          =0.23
P(Y=4)=0.09+0.08+0.06
          =0.23

P(Y=0)=0.09+0.08+0.06
                =0.23
P(Y=1)=0.07+0.09+0.08
           =0.24
P(Y=2)=0.07+0.09+0.08
          =0.24
P(Y=3)=0.03+0.06+0.1
          =0.19
P(Y=4)=0.03+0.06+0.1
          =0.19

Number of cards(X) Number of purchases in week(Y) 0 1 2 3 4 1 0.08 0.08 0.13 0.13 0.09 2 0.02 0.02 0.08 0.08 0.08 3 0.01 0.01 0.02 0.02 0.06

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.