An architect is making a plan for a new circular playground. If the playground needs to be surrounded by a fence and the diamete
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Using the binomial distribution, it is found that there is a 0.056 = 5.6% probability that more than 7 will make a purchase.
<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:
- There are 12 customers, hence n = 12.
- The probability of any of them making a purchase is of p = 0.4.
The probability that more than 7 will make a purchase is given by:
P(X > 7) = P(X = 8) + P(X = 9) + P(X = 10) + P(X = 11) + P(X = 12).
Hence:
Then:
P(X > 7) = P(X = 8) + P(X = 9) + P(X = 10) + P(X = 11) + P(X = 12) = 0.042 + 0.012 + 0.02 + 0 + 0 = 0.056.
0.056 = 5.6% probability that more than 7 will make a purchase.
More can be learned about the binomial distribution at brainly.com/question/24863377
Answer:
We conclude that the range of the function is 'all positive real numbers'.
Thus, option (A) is true.
Step-by-step explanation:
Given the expression
Determining the domain:
The domain of a function is the set of input values for which the function is real and defined.
It is clear that the given function has no undefined points nor domain constraints.
Therefore, the domain is: -∞ < x < ∞
Thus,
Determining the range:
The range is the set of values of the dependent variable for which a function is defined.
We know that the range of an exponential function of the form
In other words, the range is all positive real numbers.
Thus,
Therefore, we conclude that the range of the function is 'all positive real numbers'.
Thus, option (A) is true.