Question

bryant surveys people at his company to find out when they prefer to go on vacation. he also records whether each person works out of the companys california or new york offices. based on the survey data, what is the probability that a randomly selected employee prefers to go on vacation in winter given that the selected employee works out of the companys new york offices? write your answer as a fraction or decimal. do not round.

Explanation:

Step1: Calculate total number of employees

Add all the values in the table: \(12 + 8+16 + 9+9+5+9+7=\)

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Step2: Calculate number of employees in New York offices

Add the values for New York: \(9 + 5+9+7 = 30\)

Step3: Calculate the probability

Probability formula is \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\). Here, favorable outcomes (employees in New York) is \(30\), total outcomes is \(75\). So \(P=\frac{30}{75}\)

Answer:

\(\frac{30}{75}\)