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Answer:
<h2>81.28</h2>Step-by-step explanation:
To solve this kind of problem, we must remember that the word "of" means multiplication in math language, and all percentages numbers can be expressed as a fraction where the denominator is 100. Applying all this, we have
Therefore, all those percentages of 8128 results in 81.28
Answer:
0.3874 = 38.74% probability that exactly 9 of the 10 consumers recognize her brand name.
0.6126 = 61.26% probability that the number who recognize her brand name is not nine.
Step-by-step explanation:
For each consumer, there are only two possible outcomes. Either they recognize the name, or they do not. The probability of a customer recognizing the name is independent of anu other customer. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
The brand name of Mrs. Fields (cookies) has a 90% recognition rate.
This means that .
Sample of 10
This means that
Find the probability that exactly 9 of the 10 consumers recognize her brand name.
This is P(X = 9). So
0.3874 = 38.74% probability that exactly 9 of the 10 consumers recognize her brand name.
Also, find the probability that the number who recognize her brand name is not nine.
1(100%) subtracted by those who recognize. So
1 - 0.3874 = 0.6126
0.6126 = 61.26% probability that the number who recognize her brand name is not nine.
