Respuesta :
Answer: Our required probability is 0.96.
Step-by-step explanation:
Since we have given that
Probability that Alarm clock 1 is reliable = 60% = 0.60
Probability that Alarm clock 2 is reliable = 90% = 0.90
We need to find that probability at least one of the alarm will wake her up.
since both are independent events.
So, Probability at least one of the alarm will wake her up is given by
[tex]P(Alarm\ 1)P(alarm\ 2)'+P(alarm\ 1)'P(Alarm\ 2)+P(Alarm\ 1)P(Alarm\ 2)\\\\=0.6\times 0.1+0.4\times 0.1+0.6\times 0.9\\\\=0.96[/tex]
Hence, our required probability is 0.96.
The chance at least one of the alarms will wake her up is 0.96.
Given
Probability that Alarm clock 1 is reliable = 60% = 0.60
Probability that Alarm clock 2 is reliable = 90% = 0.90
P of alarm clock 1 not reliable = 0.40
P of alarm clock 2 not reliable = 0.10
What is the probability of both independent events?
If the probability of one event does not affect the probability of another event, the events are independent.
Therefore,
The chance at least one of the alarms will wake her up is;
[tex]\rm= P(Alarm \ 1) P(Alarm \ 2)' + P(Alarm \ 1)' P(Alarm \ 2)+ P(Alarm \ 1) P(Alarm \ 2)\\\\=0.6 \times 0.1+0.4 \times 0.9+0.6 \times 0.9\\\\= 0.06+0.36+0.54\\\\=0.96[/tex]
Hence, the chance at least one of the alarms will wake her up is 0.96.
To know more about Probability click the link given below.
https://brainly.com/question/12836149
