an indicator variable x takes value 0 with probability 1/4 and 1 with probability 3/4, what is e[(1 x)(1-x)]?
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The expected value E[(1-x)(1-x)] is 1/4. This represents the average value of the function (1-x)(1-x) for the given probability distribution of x values.
We are given an indicator variable x with values 0 and 1. The probability of x = 0 is 1/4 and x = 1 is 3/4. We need to find the expected value E[(1-x)(1-x)].
Step 1: Determine the function we are working with.
We have the function (1-x)(1-x), which simplifies to (1-2x+x^2).
Step 2: Find the probabilities for each value of x.
For x = 0, the probability is 1/4.
For x = 1, the probability is 3/4.
Step 3: Compute the function values for each x value.
For x = 0, (1-2(0)+0^2) = 1.
For x = 1, (1-2(1)+1^2) = 0.
Step 4: Calculate the expected value.
E[(1-x)(1-x)] = (1)(1/4) + (0)(3/4) = 1/4.
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Related Questions
Twelve of the 20 students in Ms. Sarno’s homeroom are female. Each month, Ms. Sarno randomly selects a student to act as “teacher’s helper.”Which simulation best models the selection of female “teacher’s helpers” for January, February, March, and April?A spinner, divided into 5 congruent sectors with three of the sectors representing female students, is spun 12 times.A coin, with heads up representing female students, is flipped 4 times.A bag of 15 marbles, with 9 marbles representing female students, has a marble drawn 4 times with replacement.A number cube, with odd numbers representing female students, is rolled 12 times.
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Please help ASAP! An ice cream factory makes 280 quarts of ice cream in 2 hours. How many quarts could be made in 36 hours? What was the rate per day?
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The number of jelly beans that Maria has will be 48. Then the correct option is C.
What is Algebra?
The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
Let the number of jelly beans that Maria have to be x.
Maria gave one-half of her jelly beans to Carole. Then the number of jelly beans that Carole has will be
⇒ x / 2
Carole gave one-third of those to Austin. Then the number of jelly beans that Austin has will be
⇒ (x / 2) (1/3)
⇒ x / 6
Austin gave one-fourth of those to Tony. Then the number of jelly beans that Tony has will be
⇒ (x / 6) (1/4)
⇒ x / 24
If tony received two jelly beans. Then the equation will be
x / 24 = 2
x = 48
The number of jelly beans that Maria has will be 48. Then the correct option is C.
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2. y = −10.2
3. y = 3x2 + 7
4. 3x + 5y = 15
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<=> 12 + 7x = 13 <=> 7x = 1 <=> x = 1/7;
Answer:
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Step-by-step explanation:
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The translation rule from the blue figure to the black figure is -
What are the types of translation of a graph?
There are three types of translations -
- Reflection
- Rotation
- Dilation
Given is that the blue figure is a translation of the black image.
We can write the translation rule as -
Hence, the translation rule from the blue figure to the black figure is -
Read more on translations at:
The complete question is attached below.
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That means the two numbers are 8 and 0.
(0 × 8 = 0)
(0 + 8 = 8)
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Answer:
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