Answer:
Step-by-step explanation:
Let the number be x.
Translating the word problem into an algebraic equation, we have;
Opening the bracket, we have;
Collecting like terms, we have;
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Answer:
For a continuous random variable X, P(20 ≤ X ≤ 40) = 0.15 and P(X > 40) = 0.16.
Step-by-step explanation:
Here, P(x > 40) = 0.16
a). P(x < 40) = 1 - P(x > 40)
= 1 - 0.16
= 0.84
b). P(x < 20) = 1 -
= 1 - {P(20 ≤ X ≤ 40) + P(X > 40)}
= 1 - (0.15 + 0.16 )
= 1 - 0.31
= 0. 69
c). P(x = 40) = 0; The probability that a continuous variable assume a particular value is zero.