Respuesta :
Answer:
No
Step-by-step explanation:
If there are JUST four outcomes of the experiment, it's invalid. Because .1+.15+.4+.2=.85, which is not equal to 1.
This is beacuse since the experiment has occurred, the possibility of getting an outcome, which equals the sum of all four kinds of outcomes' possibilities, should be one.
The sum of probabilities of all outcomes must be one. Then the probability P(E5) is 0.15. The correct option is A.
What is probability?
Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.
The probabilities of four outcomes of an experiment are shown.
[tex]\rm P(E1) = 0.10\\\\P(E2) = 0.15\\\\P(E3) = 0.40\\\\P(E4) = 0.20[/tex]
Then find the probability of the P(E5).
We know that the sum of all the probabilities of outcomes must be one. Then
[tex]\begin{aligned} \rm P(E1) +P(E2) +P(E3) +P(E4) + P(E5) &= 1\\\\0.10 + 0.15 + 0.40 + 0. 20 + \rm P(E5) &= 1\\\\0.85 + \rm P(E5) &= 1\\\\ \rm P(E5) &= 1 - 0.85\\\\ \rm P(E5) &= 0.15 \end{aligned}[/tex]
Thus, the probability P(E5) is 0.15. Then the correct option is A.
More about the probability link is given below.
https://brainly.com/question/795909
