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siniylev [52]
3 years ago
10

Assume that you assign the following subjective probabilities for your final grade in your econometrics course (the standard GPA

scale of 4-A to 0-F applies): Probability 0.20 0.50 0.20 0.08 0.02 Grade The expected value is_____________.A. 3.5 B. 3.25. C. 2.78.D. 3.0
Mathematics
1 answer:
rodikova [14]3 years ago
3 0

Answer:

E(X) = 4*0.2 +3*0.5+ 2*0.2 +1*0.8+ 0*0.02= 2.78

So then the best answer for this case would be:

C. 2.78

Step-by-step explanation:

For this case we have the following probabability distribution function given:

Score         P(X)

A= 4.0       0.2

B= 3.0       0.5

C= 2.0       0.2

D= 1.0        0.08

F= 0.0       0.02

______________

Total          1.00

The expected value of a random variable X is the n-th moment about zero of a probability density function f(x) if X is continuous, or the weighted average for a discrete probability distribution, if X is discrete.

If we use the definition of expected value given by:

E(X) = \sum_{i=1}^n X_i P(X_I)

And if we replace the values that we have we got:

E(X) = 4*0.2 +3*0.5+ 2*0.2 +1*0.8+ 0*0.02= 2.78

So then the best answer for this case would be:

C. 2.78

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Answer:

Step-by-step explanation:

Given that a basketball coach will select the members of a five-player team from among 9 players, including John and Peter.

Out of nine players five are chosen at random.

The team consists of John and Peter.

Hence we can sort 9 players as I group, John and Peter and II group 7 players.

Now the selection is 2 from I group and remaining 3 from II group.

Hence no of ways of selecting a team that includes both John and Peter=2C2*7C3=35

Total no of ways = 9C5=126

= \frac{2C2*7C3}{9C5}=\frac{35}{126} =\frac{5}{18}

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Answer:

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Step-by-step explanation:

The recipe for hot chocolate which makes 4 cups, I have 7 friends and if I include myself we will need to make 8 cups of hot chocolate so the recipe for hot chocolate will need to double all the ingredients mentioned in the recipe to make 8 cups of hot chocolate. If 8 cups of hot chocolate is made me and my friends will be able to enjoy hot chocolate in a little cold weather with social distance.

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Answer:

1) 3.75

2)0.833333

3)3.66666

Step-by-step explanation:

See photo for Step-bystep explanation

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Answer:

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Step-by-step explanation:

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Answer:

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Hope this is correct and it helps :)

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