3. An online bakery sells cupcakes in three package sizes (small, medium and large), three flavors (moist vanilla, red velvet and chocolate) and two orde options (pick-up and delivery). The following tables show the proportions o cupcakes sold in the various category combinations. Pick-up Sizes Flavor Red velvet Moist vanilla Chocolate Small 0.04 0.02 0.05 Medium 0.08 0.07 0.12 Large 0.03 0.07 0.08

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 43SE: A wholesale T-shirt company oilers sizes small, medium, large, and extra-large in organic or non-...
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Question
Delivery
Flavor
Sizes
Moist vanilla
Red velvet
Chocolate
Small
0.03
0.02
0.03
Medium
0.10
0.05
0.07
Large
0.04
0.02
0.08
a) Quantify the probability that the next cupcake sold is
i) a medium package, delivery, red velvet cupcake
ii) a medium red velvet cupcake
iii) a pick-up option cupcake
iv) a delivery option cupcake
v) a medium package
vi) a flavor of moist vanilla
b) Given that the cupcake just sold was a pick-up moist vanilla, examine the
probability that its package size was medium.
c) Given that the cupcake just sold was a medium moist vanilla, examine the
probability that it was delivery.
Transcribed Image Text:Delivery Flavor Sizes Moist vanilla Red velvet Chocolate Small 0.03 0.02 0.03 Medium 0.10 0.05 0.07 Large 0.04 0.02 0.08 a) Quantify the probability that the next cupcake sold is i) a medium package, delivery, red velvet cupcake ii) a medium red velvet cupcake iii) a pick-up option cupcake iv) a delivery option cupcake v) a medium package vi) a flavor of moist vanilla b) Given that the cupcake just sold was a pick-up moist vanilla, examine the probability that its package size was medium. c) Given that the cupcake just sold was a medium moist vanilla, examine the probability that it was delivery.
3. An online bakery sells cupcakes in three package sizes (small, medium and
large), three flavors (moist vanilla, red velvet and chocolate) and two order
options (pick-up and delivery). The following tables show the proportions of
cupcakes sold in the various category combinations.
Pick-up
Sizes
Flavor
Red velvet
Moist vanilla
Chocolate
Small
0.04
0.02
0.05
Medium
0.08
0.07
0.12
Large
0.03
0.07
0.08
Transcribed Image Text:3. An online bakery sells cupcakes in three package sizes (small, medium and large), three flavors (moist vanilla, red velvet and chocolate) and two order options (pick-up and delivery). The following tables show the proportions of cupcakes sold in the various category combinations. Pick-up Sizes Flavor Red velvet Moist vanilla Chocolate Small 0.04 0.02 0.05 Medium 0.08 0.07 0.12 Large 0.03 0.07 0.08
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