QuestionA store collects customer age data. Find these probabilities for a random customer: a. Age 20-49, b. Age < 40 or > 59, c. Age ≥ 40.
Studdy Solution
STEP 1
Assumptions1. The total number of customers is the sum of all customers in each age group. . Each customer has an equal chance of being chosen for the prize giveaway.
STEP 2
First, we need to calculate the total number of customers. We can do this by adding up the number of customers in each age group.
STEP 3
Now, plug in the given values for the number of customers in each age group to calculate the total number of customers.
STEP 4
Calculate the total number of customers.
STEP 5
a. To find the probability that the customer is at least20 but no older than49, we need to add up the number of customers in the age groups20-29,30-39, and40-49, and then divide by the total number of customers.
STEP 6
Plug in the values for the number of customers in the age groups20-29,30-39, and40-49, and the total number of customers to calculate the probability.
STEP 7
Calculate the probability.
STEP 8
b. To find the probability that the customer is either older than59 or younger than40, we need to add up the number of customers in the age groups <20,20-29,30-39, and >=60, and then divide by the total number of customers.
STEP 9
Plug in the values for the number of customers in the age groups <20,20-29,30-39, and >=60, and the total number of customers to calculate the probability.
STEP 10
Calculate the probability.
STEP 11
c. To find the probability that the customer is at least40, we need to add up the number of customers in the age groups40-49,50-59, and >=60, and then divide by the total number of customers.
STEP 12
Plug in the values for the number of customers in the age groups40-49,50-59, and >=60, and the total number of customers to calculate the probability.
STEP 13
Calculate the probability.
a. The probability that the customer is at least20 but no older than49 is approximately0.545 or235/431.
b. The probability that the customer is either older than59 or younger than40 is approximately0.578 or249/431.
c. The probability that the customer is at least40 is approximately0.538 or232/431.
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