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.

Answers

Answer 1

Answer:

a) P(  [tex]Y^{C}[/tex] | X ) = 0.180

b) P(Y | [tex]X^{C}[/tex]  ) = 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 | [tex]Y^{C}[/tex]  ) = 0.99

P(Y) = 0.9

a.)

P(  [tex]Y^{C}[/tex] | X ) =  [tex]\frac{P( X | Y^{C} ). P(Y^{C} ) }{P( X | Y^{C} ). P(Y^{C} ) + P( X | Y ) . P (Y) }[/tex]

                  = [tex]\frac{(0.99)(0.1)}{(0.99)(0.1) + (0.5)(0.9)} = \frac{0.099}{0.549}[/tex] = 0.180

⇒P(  [tex]Y^{C}[/tex] | X ) = 0.180

b.)

P(Y | [tex]X^{C}[/tex]  ) = [tex]\frac{(1 - P(X | Y ) ) . P(Y)}{P( X^{C} ) } = \frac{(1 - P(X | Y ) ) . P(Y)}{ 1 - P( X ) }[/tex]

                 = [tex]\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}[/tex] = 0.998

⇒P(Y | [tex]X^{C}[/tex]  ) = 0.998


Related Questions

Consider the polygon defined by the coordinates A(-2, 2), B(1,5), C(2, 3), and D(-1,0). Which statements are correct?

Answers

Answer: A, B, D

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Answers

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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I went to the store and bought 4 packs of nerds for $0.98 each and a pack of Little Debbie cakes for $2.15. How
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Answers

Answer:

Kindly refer to the attachment

Thank U Next

What's 258/42?
What's 4,274/51?
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What's 28,440/ 72?


(Make sure there's no Decimal point, the answer has to be like 27 R2 for example.)

Answers

6
84
91
395
All these are rounded to the nearest whole number

HELP QUICK ILL MARK BRAINLIEST|mr Williams drew a polygon on the board.the polygon had both acute and obtuse angles wich polygon Could mr Williams have drawn

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Step-by-step explanation:

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Answer:

yes it is

Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Ok so if you are rounding it to the nearest tenths place the answer would be 6

hope that's right!!

Answer:

well if you want to get to a whole number it would be 6

Step-by-step explanation:

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I can explain better if needed

If you combine all the baking soda from the recipes that use exactly 1 1/4

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Answers

Answer:

Note that per 1/4 tsp of baking soda you need ample amount of acidity which is about 1 cup of buttermilk, 1 cup of brown sugar, 1 teaspoon of lemon juice, or 1 teaspoon of vinegar. Baking Without Baking Soda OR Baking Powder

Step-by-step explanation:

We are given a table that displays the current value of information technology giant, Cisco Inc. Using the table below, determine the closing price of Cisco Systems stock the previous day. A 9-column table with 1 row. Column 1 is labeled 52-week high with entry 15.34. Column 2 is labeled 52-week low with entry 14.88. Column 3 is labeled stock with entry C S C O. Column 4 is labeled Dividend with entry 0.15. Column 5 is labeled yield percentage with entry 0.997. Column 6 is labeled P E with entry 11.97. Column 7 is labeled Volume 100 s with entry 563,063. Column 8 is labeled close with entry 15.04. Column 9 is labeled net change with entry negative 0.02. a. $14.86 c. $15.06 b. $14.90 d. $15.04

Answers

Answer:

$15.06 answer C

Step-by-step explanation:

The previous day's closing price of Cisco Systems stock was $15.06. The correct option is c.

The closing price of Cisco Systems stock the previous day was $15.06.

We can see from the table that the "close" price listed in column 8 is $15.04 and the "net change" listed in column 9 is negative 0.02. This means that the stock price decreased by $0.02 from the previous day's closing price.

To find the previous day's closing price, we need to add the net change of -$0.02 to the current day's closing price of $15.04:

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Thus, the correct option is c.

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Answers

Answer:

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Step-by-step explanation:

He's going to watch 90 hours of tv in 30 days, so multiply 90 hours x 250 watts, Which is 22500 watts over 30 days, then convert to kilowatts which would be 22.5 kilowatts total. He used .25 kilowatts an hour every day. Then multiple 22.5 x 12 cents to get your answer 270. He paid 270 dollars for electricity for the tv.

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Answers

Answer:

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Step-by-step explanation:

all you do is multipla

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Answer:

4

Step-by-step explanation:

2+2=4

4 is the answer little Johnny

PLEASE HELP PLEASE HELP
the solution to a system of linear equations who has only one solution is always
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Answers

Answer:

The point where the two lines intersect is the only solution. An inconsistent system has no solution.

Step-by-step explanation:

you have to study

Answer:

[tex]\huge\colorbox{red}{B)a coordinate pair}[/tex]

Step-by-step explanation:

the solution to a system of linear equations who has only one solution is always a coordinate pair

see an example in the graph:

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Answers

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What is the percentage?

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Answers

Answer:

Step-by-step explanation:

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Answers

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Answers

Answer:

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Step-by-step explanation:

5,840 x 127%

Since she's 73 percent of the way there, we need to add the last 27 percent as well as put a one in front so it will work.

127%

Because this is not just 7416 steps you should consider rounding it if your teacher asks you to.

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Answers

Step-by-step explanation:

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Answers

Answer:

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-23/3 + (-11/2) + 35/4

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(-158 + 105)/12

Add 105 to -158 to get -53.

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Answers

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Step-by-step explanation:

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

Answer:

70%

Step-by-step explanation:

The percent decrease is 70%.

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Answers

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Answers

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Answers

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Answers

Answer:

96 minutes

Step-by-step explanation:

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Answers

Answer:

1. The gallons are dependent because the number of gallons depends on how long the tank has been filled with water.

2. 5

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Step-by-step explanation:

Why does cucumber taste like shampoo?

Answers

Answer:

cucurbitacin

Step-by-step explanation:

It makes it tastes bitter

Why does cucumber taste like shampoo ?

It doesn't . Maybe just your taste is weird . Why do you taste shampoo in the first place !

which solution makes the equation true

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Answers

Answer:

d = 8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Step-by-step explanation:

Step 1: Define

6d = 8(12 - 6)

Step 2: Solve for d

(Parenthesis) Subtract:                                                                                     6d = 8(6)Multiply:                                                                                                             6d = 48[Division Property of Equality] Divide 6 on both sides:                                  d = 8

Round 517,429 to the nearest hundred.

Answers

Answer:

517,400

Step-by-step explanation:

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