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Tomtit [17]
3 years ago
8

An experiment consists of 400 observations and four mutually exclusive groups. If the probability of a randomly selected item be

ing classified into any of the four groups is equal, then the expected number of items that will be classified into group 1 is ________.
Mathematics
1 answer:
yaroslaw [1]3 years ago
8 0

Answer:

The expected number of items that will be classified into group 1 is 100.

Step-by-step explanation:

For each observation, there are only two possible outcomes. Either it will be classified into group 1, or it will not. The probability of an observation being classified into group 1 is independent of any other observation, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

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

The expected value of the binomial distribution is:

E(X) = np

400 observations

This means that n = 400

Four mutually exclusive groups. The probability of a randomly selected item being classified into any of the four groups is equal.

This means that p = 0.25

Then the expected number of items that will be classified into group 1 is

E(X) = np = 400*0.25 = 100

100 is the answer.

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Answer:

4.5 usd

Step-by-step explanation:

$2 / 4 *9 =$4.5

hope this helps

7 0
3 years ago
Read 2 more answers
PLEASE HELP!
Oliga [24]

Answer:

C. 8/30 is your answer.

Step-by-step explanation:

What you do is you take each fraction and make it into a decimal.

6/24 = .25

We know that 1/4 is .25.

5/20 and 12/48 are also .25.

C. 8/30 is your answer.

3 0
4 years ago
Your parents charge a family ski trip of $3000 on a credit card, the simple interest rate is 20%. The charges are paid after 6 m
torisob [31]

Answer:

$300

Step-by-step explanation:

In this question, we are simply asked to calculate the simple interest on $3000, at a rate of 20% paid after 6 months.

We can do this as follows. Mathematically, it should be remembered that:

S.I = PRT/100

In this case, we lost out the individual values as follows:

P = $3000, R = 20% and T = 6 months = 0.5years, S.I = ?

We substitute the parameters into the equation:

S.I = (3000 * 20 * 0.5)/100 = $300

7 0
3 years ago
A student ties a string around a weight and swings the weight in a circle around her body. If the student
V125BC [204]
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4 0
3 years ago
13. Translate the following verbal phrase
Artyom0805 [142]

a) algebraic expression

\frac{3+x}{5}=10

b) Solve and find value of x

x=47

Step-by-step explanation:

We need to translate the following verbal phrase  into an algebraic equation

The quotient of three more than a  number and five is ten

Let the number be x

three more than a  number is written as: 3+x

Since quotient is 10 so,

The algebraic expression will be:

\frac{3+x}{5}=10

Now, <u>solving to find value of x</u>

\frac{3+x}{5}=10

Multiplying both sides by 5

\frac{3+x}{5}*5=10*5\\3+x=50

Now Subtract -3 from both sides

3+x-3=50-3\\x=47

So, value of x=47

Learn More:

  • You can find more info about translating verbal phrase  into an algebraic equation

                    brainly.com/question/1600376

                    brainly.com/question/1617787

  • For finding value of x, more info can be found at:

                     brainly.com/question/1616605

Keywords: verbal phrase, algebraic expression

#learnwithBrainly

8 0
3 years ago
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