For the past 15 months, Frank recorded the cost of his monthly home heating bill and the corresponding average monthly temperatu
1 answer:
The scatter plot shows that the heating bill will be about $95 for an average monthly temperature of 40°F.
<h3>What is a scatter plot?</h3>It should be noted that a scatter plot uses dots to represent values for different numeric variables. In this case, the position of each dot on the horizontal and vertical axis shows the values for an individual data point.
From the complete question, the graph attached shows that the heating bill will be about $95 for an average monthly temperature of 40°F.
In conclusion, scatter plots are used to observe the relationships between variables.
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Using the binomial distribution, it is found that there is a 0.0328 = 3.28% probability that at least 2 of them choose the same quote.
<h3>What is the binomial distribution formula?</h3>The formula is:
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, we have that:
- There are 6 students, hence n = 6.
- There are 20 quotes, hence the probability of each being chosen is p = 1/20 = 0.05.
The probability of one quote being chosen at least two times is given by:
In which:
P(X < 2) = P(X = 0) + P(X = 1).
Then:
Then:
P(X < 2) = P(X = 0) + P(X = 1) = 0.7351 + 0.2321 = 0.9672.
0.0328 = 3.28% probability that at least 2 of them choose the same quote.
More can be learned about the binomial distribution at brainly.com/question/24863377