Two different types of snacks became available around the 1930's in the USA – Fritos Corn Chips in 1932 and Lay's Salted Potato Chips in 1931. They both captivated the consumer markets in slightly different regions. While Frito's were popular across the Southern states, Lay's primarily sold in the Southeastern states. As you can imagine, there was some overlap in their market regions and as both companies grew, they started to compete for market shares in other states. Just for the sake of imagination, let us assume that you are a sales manager working for Mr. Dooley (the inventor of Frito's) in the mid-1930s and that you believe that the probability of a customer purchasing a bag of Frito's versus a bag of Lay's is based upon the customer's most recent purchase in Kansas, where both the companies are planning to expand into. Below are the transition probabilities observed by your team: From Frito's Lay's Frito's 0.65 0.35 Lay's 0.45 0.55 QUESTION: Suppose that Mr. Dooley wants to launch a special discount campaign such that it would increase the transitional probability from Lay's to Frito's from 0.45 to 0.50. What would be the new projected market share for Frito's after the campaign? %
Two different types of snacks became available around the 1930's in the USA – Fritos Corn Chips in 1932 and Lay's Salted Potato Chips in 1931. They both captivated the consumer markets in slightly different regions. While Frito's were popular across the Southern states, Lay's primarily sold in the Southeastern states. As you can imagine, there was some overlap in their market regions and as both companies grew, they started to compete for market shares in other states. Just for the sake of imagination, let us assume that you are a sales manager working for Mr. Dooley (the inventor of Frito's) in the mid-1930s and that you believe that the probability of a customer purchasing a bag of Frito's versus a bag of Lay's is based upon the customer's most recent purchase in Kansas, where both the companies are planning to expand into. Below are the transition probabilities observed by your team: From Frito's Lay's Frito's 0.65 0.35 Lay's 0.45 0.55 QUESTION: Suppose that Mr. Dooley wants to launch a special discount campaign such that it would increase the transitional probability from Lay's to Frito's from 0.45 to 0.50. What would be the new projected market share for Frito's after the campaign? %
A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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![Two different types of snacks became available around the 1930's in the USA – Fritos Corn Chips in 1932 and Lay's
Salted Potato Chips in 1931. They both captivated the consumer markets in slightly different regions. While Frito's
were popular across the Southern states, Lay's primarily sold in the Southeastern states. As you can imagine, there
was some overlap in their market regions and as both companies grew, they started to compete for market shares in
other states. Just for the sake of imagination, let us assume that you are a sales manager working for Mr. Dooley (the
inventor of Frito's) in the mid-1930s and that you believe that the probability of a customer purchasing a bag of
Frito's versus a bag of Lay's is based upon the customer's most recent purchase in Kansas, where both the companies
are planning to expand into. Below are the transition probabilities observed by your team:
From
Frito's
Lay's
Frito's
0.65
0.35
Lay's
0.45
0.55
QUESTION: Suppose that Mr. Dooley wants to launch a special discount campaign such that it would increase the
transitional probability from Lay's to Frito's from 0.45 to 0.50. What would be the new projected market share for
Frito's after the campaign?
%](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc13bfa47-d8b1-49a8-8652-3d3d8ccb6fe9%2F893585c1-0602-44eb-9b8e-2ea5479cec72%2Fwufevxu_processed.png&w=3840&q=75)
Transcribed Image Text:Two different types of snacks became available around the 1930's in the USA – Fritos Corn Chips in 1932 and Lay's
Salted Potato Chips in 1931. They both captivated the consumer markets in slightly different regions. While Frito's
were popular across the Southern states, Lay's primarily sold in the Southeastern states. As you can imagine, there
was some overlap in their market regions and as both companies grew, they started to compete for market shares in
other states. Just for the sake of imagination, let us assume that you are a sales manager working for Mr. Dooley (the
inventor of Frito's) in the mid-1930s and that you believe that the probability of a customer purchasing a bag of
Frito's versus a bag of Lay's is based upon the customer's most recent purchase in Kansas, where both the companies
are planning to expand into. Below are the transition probabilities observed by your team:
From
Frito's
Lay's
Frito's
0.65
0.35
Lay's
0.45
0.55
QUESTION: Suppose that Mr. Dooley wants to launch a special discount campaign such that it would increase the
transitional probability from Lay's to Frito's from 0.45 to 0.50. What would be the new projected market share for
Frito's after the campaign?
%
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