Given that x ~ B ( n = 10, p) if E(x) = 8 find the value of P is

  1. 0.6
  2. 0.7
  3. 0.8
  4. 0.4

Answer (Detailed Solution Below)

Option 3 : 0.8
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Detailed Solution

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Concept:

Expected Mean:

E(x) = np  

 

Calculations:

Given that x ~ B ( n = 10, p)

E(x) = 8 

We know that E(x) = np

⇒ np = 8 

⇒(10)p = 8

⇒ p = \(\rm\dfrac {8}{10}\)

⇒ p = 0.8

Given that x ~ B ( n = 10, p) if E(x) = 8 then the value of P is 0.8

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