Purchase_likelihood 18-34 35-44 45-54 55+ Total
More likely 234 360 395 408 1397
Less likely 25 7 20 18 70
Neither more nor less likely 297 205 152 108 762
Total 556 572 567 534 2229
What is the probability that a randomly selected individual is less likely
to buy a product emphasized as "Made in our country," given the individual is 45 to 54
years of age?
To calculate the probability that a randomly selected individual from the 45-54 age group is less likely to buy a product emphasized as "Made in our country," divide the number of individuals in that category who are less likely to buy by the total number of individuals in that category:
Probability = Number of individuals less likely to buy / Total number of individuals in the category
In this case, the number of individuals in the 45-54 age group who are less likely to buy is 20. The total number of individuals in the 45-54 age group is 567.
Probability = 20 / 567
To simplify the fraction, divide both the numerator and denominator by their greatest common divisor, which is 1 in this case:
Probability = 20 / 567 ≈ 0.0353
The probability that a randomly selected individual from the 45-54 age group is less likely to buy a product emphasized as "Made in our country" is approximately 0.0353 (or 3.53%).
To find the probability that a randomly selected individual who is 45 to 54 years of age is less likely to buy a product emphasized as "Made in our country," you need to calculate the ratio of the number of individuals in the specified age group who are less likely to buy to the total number of individuals in the age group.
According to the given data, the number of individuals who are 45-54 years old and less likely to buy is 20.
So, the probability is calculated as:
Probability = Number of individuals 45-54 years old and less likely to buy / Total number of individuals 45-54 years old
Probability = 20 / 152
Probability ≈ 0.1316 (rounded to four decimal places)
Therefore, the probability that a randomly selected individual who is 45 to 54 years of age is less likely to buy a product emphasized as "Made in our country" is approximately 0.1316.
To find the probability that a randomly selected individual is less likely to buy a product emphasized as "Made in our country," given the individual is 45 to 54 years of age, you need to use conditional probability.
Conditional probability is calculated by dividing the number of favorable outcomes (in this case, individuals who are 45 to 54 years old and less likely to buy) by the total number of outcomes (in this case, all individuals who are 45 to 54 years old).
First, find the number of individuals who are 45 to 54 years old and less likely to buy. From the table given:
Less likely: 20 (for 45-54 age group)
Next, find the total number of individuals who are 45 to 54 years old:
Total: 567 (for 45-54 age group)
The probability is calculated as:
Probability = Number of favorable outcomes / Total number of outcomes
Therefore, the probability that a randomly selected individual is less likely to buy a product emphasized as "Made in our country," given the individual is 45 to 54 years of age is:
Probability = 20 / 567 = 0.0353, which is approximately 0.0353 or 3.53%.