Question

a survey of 300 college students shows the average number of minutes that people talk on their cell phones each month. round your answer to at least four decimal places.

	less than 600	600 - 799	800 - 999	1000 or more
men	61	29	33	7
women	34	84	39	13

if a person is selected at random, find the probability that the person talked less than 600 minutes if it is known that the person was a man.
the probability is approximately 0.2933.

Explanation:

Step1: Find total number of men

Sum the number of men in each category: \(61 + 29 + 33 + 7\)
\(61+29 = 90\), \(90+33 = 123\), \(123+7 = 130\)

Step2: Find number of men who talked less than 600 minutes

From the table, it's 61.

Step3: Calculate conditional probability

The formula for conditional probability \(P(A|B)=\frac{P(A\cap B)}{P(B)}\). Here, \(A\) is "talked less than 600 minutes" and \(B\) is "is a man". So \(P(\text{less than 600}|\text{man})=\frac{\text{Number of men less than 600}}{\text{Total number of men}}=\frac{61}{130}\)
\(\frac{61}{130}\approx0.4692\)

Answer:

\(0.4692\)