Pamela can expect to see approximately 0.97 red cars and 1.18 green cars on her way to office.
To calculate the expected number of red cars and green cars Pamela can see on her way to the office, we need to use the concept of the expected value.
The expected value for each color car is found by multiplying each possible number of cars by the probability of seeing that many cars, and then summing all these products.
For red cars:
E(Red Cars) = (0 × 0.43) + (1 × 0.31) + (2 × 0.14) + (3 × 0.10) + (4 × 0.02)
E(Red Cars) = 0 + 0.31 + 0.28 + 0.30 + 0.08
E(Red Cars) = 0.97
For green cars:
E(Green Cars) = (0 × 0.45) + (1 × 0.17) + (2 × 0.22) + (3 × 0.07) + (4 × 0.09)
E(Green Cars) = 0 + 0.17 + 0.44 + 0.21 + 0.36
E(Green Cars) = 1.18
Pamela can expect to see approximately 0.97 red cars and 1.18 green cars on her way to the office.
The probable question may be:
type the correct answers each box
Number of cars red car Green car
0 0.43 0.45
1 0.31 0.17
2 0.14 0.22
3 0.10 0.07
4 0.02 0.09
The table shows the probability distribution of Pamela seeing red cars and green cars on her way to office
Pamela can expect to see___red cars and____green cars on her way to office