WHICH OF THE FOLLOWING ANGLES CANNOT BE CONSTRUCTED USING

The probability distribution of random variable, X, is defined as follows:

stealth61 [152]

Answer and Step-by-step explanation:

A) For the model to be a probability distribution, it has to follow two conditions:

1) The probability of each value of the discrete random variable is between, and included, 0 and 1:

2) The sum of all probabilities is 1;

In the table shown, the probabilities are from 0 to 0.3 - between 0 and 1;

Adding the probabilities: 0 + 0.3 + 0.1 + 0.3 + 0.3 = 1

Therefore, this model is a valid probability distribution model.

B) They are discrete because each value correspond to a finite number of possible values.

C) Expected value is calculated by

$E(X) = \Sigma xP(x)$

$E(X) = 0.0 + 1*0.3 + 2*0.1 + 3*0.3 + 4*0.3$

E(X) = 2.6

D) P(X=3) = P(3), which means probability of 3:

P(X=3) = 0.3

E) P(X<4): probabilities of values of X that are less than 4:

P(X<4) = P(0) + P(1) + P(2) + P(3)

P(X<4) = 0 + 0.3 + 0.1 + 0.3

P(X<4) = 0.7

F) P(X>0) = P(1) + P(2) + P(3) + P(4)

P(X>0) = 0.3 + 0.1 + 0.3 + 0.3

P(X>0) = 1

G) P(X=5) = P(5)

There is no probability of P(5) because the model doesn't "cover" that number.

H) P(X=0) = P(0)

P(X=0) = 0

I) The total area of any density curve is 1 because it represents all the possible values a variable can assume.

3 0

4 years ago

It took Bill 2 hours biking at a speed of 10 miles per hour to bike along a trail in town. If Bella is walking the same trail at

OleMash [197]

The trail is 20 miles so it will take her 5 hours

4 0

4 years ago

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One teacher wants to give each student two and 1/6 slices of pizza if the teachers had 13 slices of pizza how many students will

hram777 [196]

Answer:

6 students.

Step-by-step explanation:

First let's combine 2 and 1/6.

6/6 + 6/6 + 1/6 = 13/6.

Now we will turn 13 to 13/1 and divide by 13/6

$\frac{13}{1} \div \frac{13}{6} = \frac{13}{1} \times \frac{6}{13}$

$\frac{13 \: \times \: 6 \: = \: 78}{ 1 \times \: 13 \: = \: 13}$

$78 \div 13 = 6$

So, the teacher will hand the pizza out to 6 students.

5 0

3 years ago

Given that an American is a male, what is the probability that he prefers name-brand milk? b. Given that an American is a female

Evgesh-ka [11]

Answer:

a) 0.280

b) 0.300

c) No, preference is not independent of gender. Since the P(N) (0.29) is not equal to P(N|M) (0.28) and/or P(N|F) (0.30), the preference and gender are not completely, statistically independent. It's very close though.

Step-by-step explanation:

Let the probability that the somebody surveyed is a male be P(M)

Let the probability that somebody surveyed is female be P(F)

Let the probability that somebody surveyed picked the name-brand milk be P(N)

Let the probability that somebody surveyed picked the store-brand milk be P(St)

Let the probability that somebody surveyed picked the something else be P(So)

a) Given that an American is a male, what is the probability that he prefers name-brand milk = P(N|M) = 319/1138 = 0.280

b) Given that an American is a female, what is the probability that she prefers name-brand milk = P(N|F) = 341/1138 = 0.300

c) To investigate if the preference and gender are independent or not, we need the P(N)

P(N) = probability that an average an Average American (male or female) will prefer a nam-brand milk = 660/2276 = 0.290.

Since the P(N) (0.29) is not equal to P(N|M) (0.28) and/or P(N|F) (0.30), the preference and gender are not statistically independent. It's very close though.

3 0

3 years ago

3. Identify each following representation as a function or nonfunctional and explain your reasoning.

Vaselesa [24]

Answer:

1.1

Step-by-step explanation:

I think it.

7 0

3 years ago

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