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Diano4ka-milaya [45]
2 years ago
10

How do I do this!!!!!

Mathematics
1 answer:
Readme [11.4K]2 years ago
6 0

The expected values of the binomial distribution are given as follows:

1. 214.

2. 21.

3. 31.

<h3>What is the binomial probability distribution?</h3>

It is the <u>probability of exactly x successes on n repeated trials, with p probability</u> of a success on each trial.

The expected value of the binomial distribution is:

E(X) = np

For item 1, the parameters are:

p = 3/7, n = 500.

Hence the expected value is:

E(X) = np = 500 x 3/7 = 1500/7 = 214.

For item 2, the parameters are:

p = 0.083, n = 250.

Hence the expected value is:

E(X) = np = 250 x 0.083 = 21.

For item 3, the parameters are:

p = 1/13, n = 400.

Hence the expected value is:

E(X) = np = 400 x 1/13 = 31.

More can be learned about the binomial distribution at brainly.com/question/24863377

#SPJ1

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Left-handedness occurs in about 12% of all Americans. Males are slightly more likely than females to be left-handed, with 13% of
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Answer:

a)Both X and Y can be well approximated by normal random variables.

Step-by-step explanation:

For each individual, there are only two possible outcomes. Either they are right-handed, or they are left-handed. This means that we can solve this problem using concepts of the binomial probability distribution.

Binomial probability:

Probability of exactly x sucesses on n repeated trials, with probability p.

The binomial probability can be well approximated by normal random variables, using the expected value E(X) = np and the standard deviation \sigma = \sqrt{np(1-p)}

Let X be the number of males (out of the 100) who are left-handed.

n = 100 and p = 0.13. Can be well approximated.

Let Y be the number of females (out of the 80) who are left-handed.

n = 80 and p = 0.11. Can be well approximated.

The correct answer is

a)Both X and Y can be well approximated by normal random variables.

5 0
3 years ago
Find the volume of a square oblique pyramid whose base measures five feet per side, with a vertical height of 18 feet. A. 225 ft
Oxana [17]

Answer:

B. 150 ft³

Step-by-step explanation:

The general formula for the volume of a pyramid is:

V = \frac{1}{3}Bh where B = the area of the base and h = height of the pyramid

Since the base of the pyramid is a square, we can take the length of the side squared:

A = s²

A = 5² = 25 ft²

Using B = 25 and h = 18:

V = \frac{1}{3}*25*18=150ft^{3}

3 0
3 years ago
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Answer:

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Which graph shows a line with the same y intercept as the graph of 10x - 16y = 40
Amanda [17]

Answer:

The graph option where the y-axis is intercepted at y = -2.5 by the line of the graph.

Step-by-step explanation:

The answer choices for the possible graphs that have the same y-intercept as the graph of 10x - 16y = 40 is missing here.

However, the answer can still be explained here.

We can figure out how the graph would look like.

First, understand that the y-intercept of a graph is the value of y, of the point where the line intercepts the y-axis.

Let's figure out what the y-intercept is given a graph represented by the equation, 10x - 16y = 40.

Rewrite the equation in slope-intercept form.

10x - 16y = 40

-16y = -10x + 40

y = -10x/-16 + 40/-16

y = ⅝x - ⁵/2

Therefore, the y-intercept of the graph of 10x - 16y = 40 is -⁵/2 or -2.5.

✅The graph shows a line with the same y-intercept as the graph of 10x - 16y = 40, would have it's y-axis intercepted at y = -2.5.

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Complete the equation of this line in slope-intercept form y= _x-1
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Answer:

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