A certain new type of business succeeds 60% of the time. Suppose that 3 such businesses open (where they do not compete with eac
1 answer:
Answer:
0.216
Step-by-step explanation:
Given that a certain new type of business succeeds 60% of the time.
3 such businesses are tested for success.
Since these three businesses open (where they do not compete with each other, so it is reasonable to believe that their relative successes would be independent). we can say X no of successful businesses is Binomial
with p = 0.6 and n =3
Required probability
=The probability that all 3 businesses succeed is:
=
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Given:
Total number of students at Colfax Middle School = 270
Ratio of boys to girls is 5:4.
Total number of students at Winthrop Middle School = 180
Ratio of boys to girls is 4:5.
The two schools hold a dance and all students from both schools attend.
To find:
The fraction of the students at the dance are girls
Solution:
There are 270 students at Colfax Middle School, where the ratio of boys to girls is 5:4.
Number of boys
Number of girls
There are 180 students at Winthrop Middle School, where the ratio of boys to girls is 4:5.
Number of boys
Number of girls
Now,
Total number of students in both schools
Total number of girls in both schools
The fraction of the students at the dance are girls is
Therefore, the required fraction is .