A special promotion for its 20-ounce bottle of soda, a soft drink company printed a
message on the inside of each cap. Some of the caps said, "Please try again," while
others said, "You're a winner!" The company advertised the promotion with the
slogan "] in 6 wins a prize.
Suppose the company is telling the truth and that every 20-ounce bottle of soda it
fills has a 1-in-6 chance of being a winner. Seven friends each buy one 20-ounce
bottle of the soda at a local convenience store. Let X = the number who win a prize.

Answers

Answer 1

Using the principle of binomial probability, the probability that more than 3 friends win a prize is

Recall :

P(x = x) = nCx * p^x * q^(n-x)

Given the Parameters :

Probability of success, p = 1/6 q = 1 - p = 5/6 Number of trials, n = 7x3

Hence,

P(x ≥ 3) = p(x = 3) + p(x = 4) + p(x = 5) + p(x = 6) + p(x = 7)

P(x ≥ 3) = 0.0781 + 0.0156 + 0.0019 + 0.0001 + 0.000003

P(x ≥ 3) = 0.095703

Therefore, the probability that more than 3 friends win a prize is 0.0957

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Related Questions

What is the quantity of books that this individual is carrying in the image provided.

Answers

Answer:

3

Hope it helps

magbigay ng halimbawa na nagpapakita ng pagkakaisa ng mga Pilipino at paano ito nakatulong sa bansa at sa mga mamamayang Pilipino?


Need na po..

Answers

Answer:

mag linis at tumulong sa kapwa para maging mabuti ang kapaligiran

Explanation:

sana maka tulong ang answer ko!

Psychological tools are used to understand human behavior and psychological processes

Answers

case studies ,surveys ,naturalistic observation , and laboratory observation are examples of descriptive or correlational researches methods . using these methods researchers can describe different events ,experiences,or behaviours and look for links between them

Psychologists study mental processes and human behavior by observing, interpreting, and recording how people and other animals relate to one another and the environment. ... Research methods vary with the topic which they study, but by and large, the chief techniques used are observation, assessment, and experimentation.

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When you use a match to light a candle, multiple _______ of energy occur

Answers

Answer:

transformations (missing word)

Explanation:

When you use a match to light a candle, multiple transformations of energy occur.

To light a match, mechanical energy must first be converted to thermal energy. The particles in the match release chemical energy that has been accumulated as a result of the thermal energy, which then transforms into further thermal energy and the electromagnetic energy that you see as light.

Multiple energy transformations involving mechanical, thermal, chemical, and light energy occur when you light a match.

Therefore, when you use a match to light a candle, multiple transformations of energy occur.

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Assume that a 100 cm3 soil core weighs 78g when oven-dried and 123 g when saturated. Calculate the total pore space and total porosity. Show all of you work.

Answers

To calculate the total pore space, we will find the difference between the mass of the soil when it is oven - dried and when it is saturated. Therefore, the value of the total pore space and total porosity are 45g and 45% respectively

Given that a 100 cm3 soil core weighs 78g when oven-dried and 123 g when saturated.

The given parameters are;

Volume of soil V = 100[tex]cm^{3}[/tex]

Mass ( Oven dried) [tex]M_{1}[/tex] = 78g

Mass ( Saturated) [tex]M_{2}[/tex] = 123g

In the soil formation, pore space refers to the volume of soil. And to calculate the total pore space, we will find the difference between the mass of the soil when it is oven - dried and when it is saturated. That is,

Total pore space =  [tex]M_{2}[/tex] - [tex]M_{1}[/tex]

Total pore space = 123 - 78

Total pore space = 45g

And total porosity will be the percentage of the ratio of total pore space to the given volume of the soil. That is,

Total porosity = (Total pore space / volume of the soil) x 100

Total porosity = 45/100 x 100

Total porosity = 0.45 x 100

Total porosity = 45%

Therefore, the value of the total pore space and total porosity are 45g and 45% respectively

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