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2 years ago

Two-thirds of the books on the shelf are paperbacks. The library

Mathematics

1 answer:

IgorC [24]2 years ago

6 0

Answer:

There are 80 paperbacks on the shelf

Step-by-step explanation:

Multiply 2/3 by 120

So that would be:

2/3 x 120/1

(2 x 120)/(3x1)=240/3=80

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Let X be a Bernoulli rv with pmf as in Example 3.18. a. Compute E(X2 ). b. Show that V(X) 5 p(1 2 p). c. Compute E(X79).

spayn [35]

The Bernoulli distribution is a distribution whose random variable can only take 0 or 1

The value of E(x2) is p
The value of V(x) is p(1 - p)
The value of E(x79) is p

<h3>How to compute E(x2)</h3>

The distribution is given as:

p(0) = 1 - p

p(1) = p

The expected value of x2, E(x2) is calculated as:

$E(x^2) = \sum x^2 * P(x)$

So, we have:

$E(x^2) = 0^2 * (1- p) + 1^2 * p$

Evaluate the exponents

$E(x^2) = 0 * (1- p) + 1 * p$

Multiply

$E(x^2) = 0 +p$

Add

$E(x^2) = p$

Hence, the value of E(x2) is p

<h3>How to compute V(x)</h3>

This is calculated as:

$V(x) = E(x^2) - (E(x))^2$

Start by calculating E(x) using:

$E(x) = \sum x * P(x)$

So, we have:

$E(x) = 0 * (1- p) + 1 * p$

$E(x) = p$

Recall that:

$V(x) = E(x^2) - (E(x))^2$

So, we have:

$V(x) = p - p^2$

Factor out p

$V(x) = p(1 - p)$

Hence, the value of V(x) is p(1 - p)

<h3>How to compute E(x79)</h3>

The expected value of x79, E(x79) is calculated as:

$E(x^{79}) = \sum x^{79} * P(x)$

So, we have:

$E(x^{79}) = 0^{79} * (1- p) + 1^{79} * p$

Evaluate the exponents

$E(x^{79}) = 0 * (1- p) + 1 * p$

Multiply

$E(x^{79}) = 0 + p$

Add

$E(x^{79}) = p$

Hence, the value of E(x79) is p

Read more about probability distribution at:

brainly.com/question/15246027

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3 years ago

The number of miles Melody rides her bicycle, m, varies directly with the amount of time spent riding the bike, t. When Melody b

natta225 [31]

It is A.

"When Melody bikes for 1.5 h, she travels 10.5 mi.", therefore her speed is 10.5/1.5 = 7 mi/hr. So the right equation is <span>m = 7t.</span>

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3 years ago

A four pack of batteries cost 5.16 at this price what is the cost of

Genrish500 [490]

Answer:

1.29 for 1 pack

Step-by-step explanation:

5.16/4=1.29

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3 years ago

2 +

Paraphin [41]

Answer:

go study yourself

Step-by-step explanation:

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3 years ago

Factor the expression: -x - 6 =

tia_tia [17]

Answer:

- ( x + 6) I think

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3 years ago

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