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Vikentia [17]
3 years ago
12

Please help me out on this !!!​

Mathematics
1 answer:
lawyer [7]3 years ago
8 0

Answer:

Tu is your answer hope it helps you

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As reported in Trends in Television, the proportion of US households who have at least one VCR is 0.535. If 14 households are se
motikmotik

Using the binomial distribution, it is found that there is a 0.5601 = 56.01% probability that the number having at least one VCR is no more than 8 but at least 6.00.

For each household, there are only two possible outcomes. Either it has at least one VCR, or it does not. The probability of a household having at least one VCR is independent of any other household, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

C_{n,x} = \frac{n!}{x!(n-x)!}

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

In this problem:

  • 14 households, hence n = 14.
  • 0.535 probability of having at least one VCR, hence p = 0.535.

The probability of <u>at least 6 and no more than 8</u> is:

P(6 \leq X \leq 8) = P(X = 6) + P(X = 7) + P(X = 8)

In which:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 6) = C_{14,6}.(0.535)^{6}.(0.465)^{8} = 0.1539

P(X = 7) = C_{14,7}.(0.535)^{7}.(0.465)^{7} = 0.2024

P(X = 8) = C_{14,8}.(0.535)^{8}.(0.465)^{6} = 0.2038

Then:

P(6 \leq X \leq 8) = P(X = 6) + P(X = 7) + P(X = 8) = 0.1539 + 0.2024 + 0.2038 = 0.5601

0.5601 = 56.01% probability that the number having at least one VCR is no more than 8 but at least 6.00.

A similar problem is given at brainly.com/question/24863377

8 0
3 years ago
At the beginning of the school year, there were
andrezito [222]

Answer:

6% change

Step-by-step explanation:

First find the difference between students at the end and the beginning of the year.

1200-1128=72

to find the percent, you need to divide the difference by the initial value.

72/1200=0.06

move the decimal

6%

8 0
3 years ago
Read 2 more answers
What is the solution to this equation?<br> 17.56 = 29.01 - 5x
Daniel [21]

Answer:

2,29

Step-by-step explanation:

17,56 = 29,01 - 5x

5x = 29,01 - 17,56

5x = 11,45|:5

x = 2,29

5 0
3 years ago
Read 2 more answers
the perimeter of the floor of a room is 18 metre and its height is 3 cm what is the area of 4 walls of the room​
Lina20 [59]

Note: The height of the room must be 3 m instead of 3 cm because 3 cm is too small and it cannot be the height of a room.

Given:

Perimeter of the floor of a room = 18 metre

Height of the room = 3 metre

To find:

The area of 4 walls of the room.

Solution:

We know that, the area of 4 walls of the room is the curved surface area of the cuboid room.

The curved surface area of the cuboid is

C.S.A.=2h(l+b)

Where, h is height, l is length and b is breadth.

Perimeter of the rectangular base is 2(l+b). So,

C.S.A.=\text{Perimeter of the base} \times h

Putting the given values, we get

C.S.A.=18\times 3

C.S.A.=54

Therefore, the area of 4 walls of the room is 54 sq. metres.

7 0
3 years ago
Find the area of the composite figure.
Tanzania [10]

Answer:

90 m

Step-by-step explanation:

The piece on the right side fits perfectly in the left side so you can move the triangle to the left in order to make a square. After that, you can do 10 times 9 because 5+4=9 to get 90m as the area.

8 0
3 years ago
Read 2 more answers
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