Respuesta :
Answer:
The probability that a student chosen at random is fluent in English or Swahili.
P(S∪E) = 1.1
Step-by-step explanation:
Step(i):-
Given total number of students n(T) = 150
Given 125 of them are fluent in Swahili
Let 'S' be the event of fluent in Swahili language
n(S) = 125
The probability that the fluent in Swahili language
[tex]P(S) = \frac{n(S)}{n(T)} = \frac{125}{150} = 0.8333[/tex]
Let 'E' be the event of fluent in English language
n(E) = 135
The probability that the fluent in English language
[tex]P(E) = \frac{n(E)}{n(T)} = \frac{135}{150} = 0.9[/tex]
n(E∩S) = 95
The probability that the fluent in English and Swahili
[tex]P(SnE) = \frac{n(SnE)}{n(T)} = \frac{95}{150} = 0.633[/tex]
Step(ii):-
The probability that a student chosen at random is fluent in English or Swahili.
P(S∪E) = P(S) + P(E) - P(S∩E)
= 0.833+0.9-0.633
= 1.1
Final answer:-
The probability that a student chosen at random is fluent in English or Swahili.
P(S∪E) = 1.1
