3 years ago

What is this distance written as a whole number

1 answer:

5 0

To multiply a number by 10^6, simply add 6 zeros to the end of the number (move the decimal 6 place values to the right and fill in with appropriate zeros).

Final answer: 93,000,000

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The probability that Chloe acts hungry at 7pm given that she has already eaten dinner is 0.5. The probability that Chloe acts hu

kolezko [41]

Answer:

a) P( $Y^{C}$ | X ) = 0.180

b) P(Y | $X^{C}$ ) = 0.998

Step-by-step explanation:

Let

P(X) - Probability that he acts hungry

P(Y) - Probability that he had ate dinner,

Given,

P(X | Y) = 0.5

P(X | $Y^{C}$ ) = 0.99

P(Y) = 0.9

a.)

P( $Y^{C}$ | X ) = $\frac{P( X | Y^{C} ). P(Y^{C} ) }{P( X | Y^{C} ). P(Y^{C} ) + P( X | Y ) . P (Y) }$

= $\frac{(0.99)(0.1)}{(0.99)(0.1) + (0.5)(0.9)} = \frac{0.099}{0.549}$ = 0.180

⇒P( $Y^{C}$ | X ) = 0.180

b.)

P(Y | $X^{C}$ ) = $\frac{(1 - P(X | Y ) ) . P(Y)}{P( X^{C} ) } = \frac{(1 - P(X | Y ) ) . P(Y)}{ 1 - P( X ) }$

= $\frac{(1 - 0.5)(0.9)}{1 - [(0.99)(0.1) + (0.5)(0.9) ]} = \frac{(0.5)(0.9)}{1 - [(0.099) + (0.45) ]} = \frac{0.45}{1 - [0.540]} = \frac{0.45}{0.451}$ = 0.998

⇒P(Y | $X^{C}$ ) = 0.998

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