To calculate the probability that at most five people went to the tournament, we need to sum up the probabilities of all the responses from 0 to 5.
Probability of 0 people: 0.005
Probability of 1 person: 0.045
Probability of 2 people: 0.04
Probability of 3 people: A (unknown)
Probability of 4 people: 0.3
Probability of 5 people: 0.02
To find the value of A, we need to subtract the probabilities of all the previous responses from 1. A = 1 - (0.005 + 0.045 + 0.04 + 0.3 + 0.02) = 1 - 0.41 = 0.59
Now we can calculate the probability that at most five people went to the tournament:
Probability (at most 5 people) = Probability (0 people) + Probability (1 person) + Probability (2 people) + Probability (3 people) + Probability (4 people) + Probability (5 people)
= 0.005 + 0.045 + 0.04 + 0.59 + 0.3 + 0.02
= 1
Therefore, the probability that at most five people went to the tournament is 1 (or 100%).
A researcher plans to ask 8 randomly selected people if they went to the soccer tournament. The table below shows the probability distribution. Calculate the probability that at most five people went to the tournament.
Positive response
0
1
2
3
4
5
6
7
8
Probability
0.005
0.045
0.04
A
0.3
0.02
0.04
0.2
0.3
1 answer
1 answer