Mathematics
11.06.2020 17:19
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Given Event A, Event B, and Event C. Event A and Event B are mutually exclusive.

Given Event A, Event B, and Event C. Event A and Event B are mutually exclusive. Event A and Event C are not mutually exclusive. P(A) = 0.45
P(B) = 0.35
P(C) = 0.25
What is the probability of the complement of Event A?

A) 1.00
B) 0.55
C) 0.10
D) 0.45
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mkuhauluasong2020
mkuhauluasong2020
4,7(79 marks)

B) 0.55

The probability of the complement of Event A ( P( A⁻ ))  = 0.55

Step-by-step explanation:

Explanation:-

 Given  Event A and Event B are mutually exclusive.

  Given data P(A) = 0.45

                     P(B) = 0.35

                     P(C) = 0.25

The probability of the complement of Event A

                   P( A⁻ ) = 1 - P( A)

                              =  1 - 0.45

                              = 0.55

Final answer:-

The probability of the complement of Event A = 0.55

   

jorell
jorell
4,7(56 marks)

| PQ | = \sqrt{29}

Step-by-step explanation:

Given

PQ = ai + bj + ck , then

| PQ | = \sqrt{a^2+b^2+c^2}

Here PQ = 4i + 3j + 2k , then

| PQ | = \sqrt{4^2+3^2+2^2} = \sqrt{16+9+4} = \sqrt{29}

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