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3 years ago

What is the expected value?

Mathematics

1 answer:

DochEvi [55]3 years ago

8 0

Answer:

2.1

Step-by-step explanation:

The expected value of a probability is given by the formula:

E(x) = Σxp(x)

Therefore from the table showing the winnings of a game, the expected value of the probability distribution is:

E(x) = Σxp(x) = (0 * 0.5) + (2 * 0.2) + (4 * 0.15) + (6 * 0.1) + (10 * 0.05)

E(x) = 0 + 0.4 + 0.6 + 0.6 + 0.5 = 2.1

Hence we can conclude that the expected value of the winnings of the game is 2.1.

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James buys a video game for his Xbox for $49.99, a controller for $34.95. The sales tax in his area is 8.25%. What will be the t

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Answer:

$91.95

Step-by-step explanation:

First add all the items cost together: $49.99 + $34.95 = $84.94

Now to add the sales tax, first multiply the total cost by 0.00825:

$84.94 x $0.0825 = $7.00755

Now add 7.00755 to the total cost Of the items:

$84.94 + $7.00755 = $91.94755

Round to the nearest cent to get your total cost including sales tax:

$91.95

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3 years ago

HELP!!

rjkz [21]

I think the answer is third one. Hoped this helped!

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4 years ago

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Twice the sum of a number and 11 is 34. What is the number?

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34 ay 17. So 11 + 17 = 28

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3 years ago

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Engineers must consider the breadths of male heads when designing helmets. The company researchers have determined that the popu

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Answer:

The minimum head breadth that will fit the clientele is 4.4 inches.

The maximum head breadth that will fit the clientele is 7.8 inches.

Step-by-step explanation:

Let X = head breadths of men that is considered for the helmets.

The random variable X is normally distributed with mean, μ = 6.1 and standard deviation, σ = 1.

To compute the probability of a normal distribution we first need to convert the raw scores to z-scores using the formula:

$z=\frac{x-\mu}{\sigma}$

It is provided that the helmets will be designed to fit all men except those with head breadths that are in the smallest 4.3% or largest 4.3%.

Compute the minimum head breadth that will fit the clientele as follows:

P (X < x) = 0.043

⇒ P (Z < z) = 0.043

The value of z for this probability is:

z = -1.717

*Use a z-table.

Compute the value of x as follows:

$z=\frac{x-\mu}{\sigma}\\-1.717=\frac{x-6.1}{1}\\x=6.1-(1.717\times 1)\\x=4.383\\x\approx4.4$

Thus, the minimum head breadth that will fit the clientele is 4.4 inches.

Compute the maximum head breadth that will fit the clientele as follows:

P (X > x) = 0.043

⇒ P (Z > z) = 0.043

⇒ P (Z < z) = 1 - 0.043

⇒ P (Z < z) = 0.957

The value of z for this probability is:

z = 1.717

*Use a z-table.

Compute the value of x as follows:

$z=\frac{x-\mu}{\sigma}\\1.717=\frac{x-6.1}{1}\\x=6.1+(1.717\times 1)\\x=7.817\\x\approx7.8$

Thus, the maximum head breadth that will fit the clientele is 7.8 inches.

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3 years ago

What is the following quotient? V6+ V11 √5 + √3

Cerrena [4.2K]

Answer:

The second one, my order is different, but they are equivalent answers

Step-by-step explanation: 6 22 22 18

(√6 + √11) / (√5 +√3) multiple top and by (√5 - √3) note the minus

(√6 + √11) × (√5 - √3) / (√5 +√3) x (√5 - √3)

(√30 + √55 - √18 - √33) / (5 - 3)

(√30 + √55 - 3√2 - √33) / 2

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3 years ago