According to Masterfoods, the company that manufactures M&M’s, 12% of peanut M&M’s are brown, 15% are yellow, 12% are red, 23% are blue, 23% are orange and 15% are green. [Round your answers to three decimal places, for example: 0.123]
1.Compute the probability that a randomly selected peanut M&M is not orange.
2.Compute the probability that a randomly selected peanut M&M is red or green.
3.Compute the probability that three randomly selected peanut M&M’s are all blue.
4.If you randomly select four peanut M&M’s, compute that probability that none of them are green.
5.If you randomly select four peanut M&M’s, compute that probability that at least one of them is green.
By taking the quotients between the percentages, we will get:
1) 0.7702)0.2703) 0.0124) 0.5225) 0.478How to get the probabilities?
1) The probability of not getting an orange one is equal to the quotient between the percentage of not orange ones, and 100%.
We know that 23% are orange, then 100% - 23% = 77% are not orange, so the probability is:
P = 77%/100% = 0.770
2) 12% are red, 15% are green, so 27% are either red or green, the probability is:
P = 27%/100% = 0.270
3) To get 3 blues we can estimate the probability as:
P = (23%/100%)^3 = 0.23^3 = 0.012
But this would be incorrect, as we draw blue peanuts, the probability of drawing another is reduced (because now there are less on the package).
4) Same procedure as before, 15% are green, so 85% are not green, so to draw 4 non-green ones the probability is:
P = (85%/100%)^4 = 0.522
5) The probability of getting at least one green in 4 daws is 1 less what we got above.
P = 1 - 0.522 = 0.478
If you want to learn more about probability, you can read:
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Question: Nike Developed A New Type Of Sneaker Designed To Help...
Nike developed a new type of sneaker designed to help delay the onset of arthritis in the knee. Eighty
people with early signs of arthritis volunteered for the study. One-half of the volunteers wore the
experimental sneaker and the other half wore regular Nike sneakers that looked exactly like the experimental
hsneakers. The individuals wore the sneakers every day. At the conclusion of the study, their symptoms were
evaluated and an MRI was performed on their knees.
1. Identify the experimental units in this experiment
2. How many treatments are used in this experiment?
3. Identify a potential problem with the experimental design being used and suggest a way to improve it.
4. Explain what is meant by a placebo-controlled, double-blind study.
5. Of the 80 volunteers, suppose 40 are men and 40 are women. How could blocking be used in
designing this experiment
Answer and Explanation:
1. The experimental units are the 80 people used in the experiment. This is because an experimental unit is the smallest element of an experiment where the treatment is applied. In this case, the smallest element of the experiment subjected to the experimental treatments is the people who are participating.
2. Two treatments are used in this experiment. Experimental treatment is what you want to measure and test through the experiment. In this case, the experiment wants to test the difference between ordinary Nike shoes and Nike shoes manufactured to reduce arthritis cases, that is, there are two shoes tested, therefore, there are two treatments.
3. A potential problem presented in the project is the lack of homogeneity of the experimental units. This is because, although all the people who are participating in the experiment show first signs of knee arthritis, the researcher did not define the age, gender, height and weight that the volunteers should have to participate in the experiment. This can promote inaccurate data as these elements are also important in the onset of arthritis. To improve this problem, the researcher should have selected people of the same age, height, weight and gender.
4. A placebo-controlled, double-blind study is a study that seeks to discover the effects of an element on a person's body. In the case shown above, the element is Nike shoes that slow the progression of knee arthritis. In the case of the placebo-controlled, double-blind study, the individuals who will test the studied element will be divided into two groups. One of the groups will receive the element capable of causing changes in the body (in this case Nike shoes that delay arthritis), while the other group will receive a placebo, which is an element exactly the same as the element that promotes modifications, but has no function. . This type of study is called double-blind, because neither the researcher nor the volunteers know which group they are in. In this way, the experiment is able to present real results data, because neither the participants will be psychologically led to think that they are feeling the modifications of the tested element, nor will the researcher be led to believe that these changes actually occurred.
5. The blocking can divide 20 men and 20 women for each group. This is because the experimental block limits the randomness in the formation of experimental groups when this randomization is very difficult to achieve. Thus, when using the blocking , the researcher configures the randomness of the groups, which will facilitate the analysis of results and prevent all women from forming a group and all men from forming another group, as well as preventing groups from being formed with different amounts between men and women.
Which of the following is not a benefit of a natural fire in an environment?
A. new plant growth
B. nutrients return to soil
C. organisms become extinct
D. new habitats created
Unit 4 Q8: Which financial service offers credit opportunities that can be short-term or offered over an extended period of time and are used for big things like home mortgages, automobiles, home improvements, education, medical expenses, or travel?
A.
payment services
B.
loans
C.
savings
D.
financial planning
Answer:
b. ) loans
Explanation:
Use an index card to answer the questions.
a. What is the perimeter of your index card in inches?
Answer:
Use a ruler to find the length and width.
Then do: length + length + width + width to find the perimeter
17. Which of Erikson's Stages of Psychosocial Development do you feel that you are
in? Explain the stage and why you think you are in that stage.
Generativity vs Stagnation
Controlling populations of harmful invasive species is a challenge. Using any pest control method could potentially harm the ecosystem. If you had to decide whether to use the frog control method proposed by the scientists in the video, what five questions would you ask the scientists before making your decision?
Answer:
list
show the video dude it's needed
Answer:
Numerous studies have shown that caffeine is toxic to a variety of wildlife at high concentrations. The effects are less clear in cases of continual exposure at low levels like those documented in nature by Granek and Nagoda because little research has been done in this area. Studies involving the use of caffeine on plants have shown that, initially, cell growth rates are stable but soon the caffeine begins to kill or distort these cells, resulting in a dead or stunted plant.
Explanation:
that's what I put for plato