Item 14 A student solves the inequality −6v>42. Each step in the student's solution is shown below. Identify where the studen
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Using the binomial distribution, it is found that:
a) There is a 0.1618 = 16.18% probability that among 18 randomly observed individuals exactly 6 do not cover their mouth when sneezing.
b) There is a 0.104 = 10.4% probability that among 18 randomly observed individuals fewer than 3 do not cover their mouth when sneezing.
c) 9 is more than 2.5 standard deviations below the mean, hence it would not be surprising if fewer than half covered their mouth when sneezing.
<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.
The values of the parameters are given as follows:
n = 18, p = 0.267.
Item a:
The probability is P(X = 6), hence:
There is a 0.1618 = 16.18% probability that among 18 randomly observed individuals exactly 6 do not cover their mouth when sneezing.
Item b:
The probability is:
P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2).
Then:
P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0037 + 0.0245 + 0.0758 = 0.104.
There is a 0.104 = 10.4% probability that among 18 randomly observed individuals fewer than 3 do not cover their mouth when sneezing.
item c:
We have to look at the mean and the standard deviation, given, respectively, by:
- E(X) = np = 18 x 0.267 = 4.81.
9 is more than 2.5 standard deviations below the mean, hence it would not be surprising if fewer than half covered their mouth when sneezing.
More can be learned about the binomial distribution at brainly.com/question/24863377
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So far the only true statement I see is that function f is increasing whilst function g is decreasing.
I cannot say yes to the first one as there is a lack of x-intercepts.
Past the interval of 0,2, there are no changes in the line of function g as it remains the same despite the increase in y. Function f on the other hand has a rate of change.
The y-intercepts are the same (positive 2) so the third statement is out.
I cannot say yes to the first one as there is a lack of x-intercepts.
Past the interval of 0,2, there are no changes in the line of function g as it remains the same despite the increase in y. Function f on the other hand has a rate of change.
The y-intercepts are the same (positive 2) so the third statement is out.