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) 1 2 3 4 1 0.08 0.13 0.08 0.07 0.04 2 0.03 0.07 0.09 0.08 0.06 0.01 0.03 0.05 0.08 0.10 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) 1 2 3 4 (Type integers or decimals rounded to two decimal places as needed.)
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) 1 2 3 4 1 0.08 0.13 0.08 0.07 0.04 2 0.03 0.07 0.09 0.08 0.06 0.01 0.03 0.05 0.08 0.10 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) 1 2 3 4 (Type integers or decimals rounded to two decimal places as needed.)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 68E
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Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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Transcribed Image Text: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
Number of Purchases in Week (Y)
Cards (X)
1
3
4
1
0.08
0.13
0.08
0.07
0.04
0.03
0.07
0.09
0.08
0.06
3
0.01
0.03
0.05
0.08
0.10
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
Number of Purchases in Week (Y)
Cards (X)
1
2
3
4
(Type integers or decimals rounded to two decimal places as needed.)
Transcribed Image Text:Consider the joint probability distribution below. Complete parts (a) through (c).
1
2
Y
0.60
0.00
1
0.00
0.40
a. Compute the marginal probability distributions for X and Y.
1
2
P(y)
Y
0.60
0.00
0.60
1
0.00
0.40
0.40
P(x)
0.60
0.40
(Type integers or decimals.)
b. Compute the covariance and correlation for X and Y.
Cov(X,Y) = (Type an integer or a decimal.)
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