The probability that Chloe acts hungry at 7pm given that she has already eaten dinner is 0.5. The probability that Chloe acts hungry at 7pm given that she has not had dinner is 0.99. Assume that there is probability 0.9 that Chloe has eaten dinner by 7pm on a given day. a) (1 pt) If Chloe is acting hungry at 7pm, find the probability that she has not had dinner yet. b) (1 pt) If Chloe is not acting hungry at 7pm, find the probability that she has already had dinner.

a) P(   | X ) = 0.180

b) P(Y |  ) = 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 |  ) = 0.99

P(Y) = 0.9

a.)

P(   | X ) =  

                  = = 0.180

⇒P(   | X ) = 0.180

b.)

P(Y |  ) =

                 = = 0.998

⇒P(Y |  ) = 0.998

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation:

its totaly b

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