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1 answer:
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Question:
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. You randomly select peanut M&M's from an extra-large bag looking for a red candy.
If every student in a large Statistics class selects peanut M&M’s at random until they get a red candy, on average how many M&M’s will the students need to select? (Round your answer to two decimal places.).
Answer:
If every student in the large Statistics class selects peanut M&M’s at random until they get a red candy the expected value of the number of M&M’s the students need to select is 8.33 M&M's.
Step-by-step explanation:
To solve the question, we note that the statistical data presents a geometric mean. That is the probability of success is of the form.
The amount of repeated Bernoulli trials required before n eventual success outcome or
The probability of having a given number of failures before the first success is recorded.
In geometric distribution, the probability of having an eventual successful outcome depends on the the completion of a certain number of attempts with each having the same probability of success.
If the probability of each of the preceding trials is p and the kth trial is the first successful trial, then the probability of having k is given by
Pr(X=k) =
The number of expected independent trials to arrive at the first success for a variable Xis 1/p where p is the expected success of each trial hence p is the probability for the red and the expected value of the number of trials is 1/p or where p = 12 % which is 0.12
1/p = 1/0.12 or 25/3 or 8.33.
Answer:
The 3rd graph represents the point (-1, 4) as the solution to the system of linear equations.
The correct graph is also attached below.
Step-by-step explanation:
We know when two lines meet at a certain point, the point where they meet is called the point of intersection.
We also know that the point of intersection of two lines is termed as the solution of the system of linear equations.
We are given the point (-1, 4) as the solution of the system of linear equations.
It means the two lines meet at x = -1, and y = 4.
In other words,
(x, y) = (-1, 4) is called the point of intersection of the system of linear equations.
Now, if we closely check the graph of these two lines, we can easily figure out that the 3rd from the right side is the graph that represents the solution to the system of linear equations.
The 3rd graph indicates that the two lines meet at x = -1, and y = 4.
Hence, the point of intersection of 3rd graph is:
(x, y) = (-1, 4)
Therefore, the 3rd graph represents the point (-1, 4) as the solution to the system of linear equations.
The correct graph is also attached below.
