+24 Complete the two-way frequency table below, which shows the relationship between adults' gender and whether these adults buy a truck or a car for their first new vehicle. From a sample of 88 adults, the following data are collected:
Truck Car Total
Female 5 35
Male 27 21
Total 88
What is the probability (rounded to the nearest whole percent) that an adult will buy a truck, given that he is a male? Are the events being male and buying a truck independent?
+128408 Truck Car Total
Female 5 35 40
Male 27 21 48
Total 32 56 88
P( Buying a truck given that he is male)
We have 48 males......27 of them buy a truck ....so
27 / 48 = 56%
If they are independent we must have that
P(buying a truck) + P(being male) = P(buying a truck) * P(being male)
(32/ 88) + (48/ 88) = 32/88 * 48/88 ????
80/88 = 24/121
90.9 % = 19.8% ???? not true....so these are dependent events
56%, dependent is the answer
