CACTICE Arlo always has one snack and one drink together. During 2020, he recorded his snacking and drinking combinations and calculated the joint probabilities shown in table below based on relative frequency. Use this information to answer the questions.

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CACTICE Arlo always has one snack and one drink together. During 2020, he recorded all of
his snacking and drinking combinations and calculated the joint probabilities shown in the
table below based on relative frequency. Use this information to answer the questions.
Diet Coke Mint tea La Croix
Takis
.02
.06
.02
Рорcorn
.10
.25
.25
Clementines
.08
.19
.03
a) If Arlo had a Diet Coke, what is the probability that he had popcorn with it?
b)
If Arlo had popcorn, what is the probability that he had a Diet Coke with it?
c)
What is the marginal probability mass function of Arlo's drinking tendencies?
d)
Are Arlo's drinking tendences independent of his snacking tendencies?
Transcribed Image Text:CACTICE Arlo always has one snack and one drink together. During 2020, he recorded all of his snacking and drinking combinations and calculated the joint probabilities shown in the table below based on relative frequency. Use this information to answer the questions. Diet Coke Mint tea La Croix Takis .02 .06 .02 Рорcorn .10 .25 .25 Clementines .08 .19 .03 a) If Arlo had a Diet Coke, what is the probability that he had popcorn with it? b) If Arlo had popcorn, what is the probability that he had a Diet Coke with it? c) What is the marginal probability mass function of Arlo's drinking tendencies? d) Are Arlo's drinking tendences independent of his snacking tendencies?
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