In a survey, a group of students were asked to name their favorite elective class. There were 15 students who chose “other." How
1 answer:
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Answer:
Let X the random variable of interest "number of tweets with no reaction", on this case we now that:
And the expected value is given by:
So we expect about 71 tweets with no reaction for this case.
Step-by-step explanation:
Previous concepts
A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
Solution to the problem
Let X the random variable of interest "number of tweets with no reaction", on this case we now that:
And the expected value is given by:
So we expect about 71 tweets with no reaction for this case.
Answer:
Step-by-step explanation:
The date from the given table, is expressed as follows;
Area of Vegetable Garden (in square feet); 338, ___, 147.25, ___
Length of Tomato Patch (in feet); ___, 6.5, ___, 7
The length of the tomato patch increases with decrease in the area of the garden
Given that the length of the tomato patch is the independent variable, we can have;
Length of Tomato Patch (in feet); 6.25, 6.5, 6.75, 7
Therefore, for an increase in the length of the tomato patch from 6.25 to 6.75, (a change of Δl = 0.5) the area of the vegetable garden decreased from 338 to 147.25 which is a decrease of ΔA = 190.75
Therefore, the width of the tomato patch, w = ΔA/Δl = 190.75/0.5 = 381.5
The width of the tomato patch, w = 381.5 ft.
The relationship between the total area, TA, the area of the vegetable garden, <em>A</em>, and the length of the tomato patch, <em>l</em>, is therefore, given as follows;
A = TA - 381.5·l
338 = TA - 381.5×6.25
TA = 338 + 381.5×6.25 = 2,722.375
Therefore, when l = 6.5, we get
A = 2,722.375 - 381.5×6.5 = 242.625
When l = 7, we get
A = 2,722.375 - 381.5×7 = 51.875
Therefore, we get;