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Jlenok [28]
3 years ago
9

Food allergies affect an estimated 7% of children under age 5 in the US. What is the probability that in a kindergarden class of

12 kids under age 5 at least one of them has food allergies? You may assume that the students in this class are a representative random sample from the population.
Mathematics
2 answers:
bezimeni [28]3 years ago
8 0

Answer:

Probability of atleast one of 12 student has food allergies ≈ 0.58 ( approx)

Step-by-step explanation:

Given: Probability of a children under age 5 has food allergies = 7%

                                                                                                        =\frac{7}{100}

To find : Probability of atleast one of 12 student has food allergies

Probability of a chindren under age 5 does not have food allergies = 1-\frac{7}{100}

                  ⇒ prob = \frac{93}{100}

now we find Probability of atleast one of 12 student has food allergies this means we have to find prob of 1 student, 2 student, 3 student, till 12 student have allergy out of 12 student of class then add all prob.

But instead of finding all these probability we find probability of student having no allergy.i.e., 0 student then subtract it from 1(total probability)

Probability of 0 student having allergy out of 12 student = (\frac{93}{100})^{12}

Therefore, Probability of atleast one of 12 student has food allergies

                  = 1-(\frac{93}{100})^{12}

                  = 0.581403702521

                  ≈ 0.58 ( approx)

                 

WINSTONCH [101]3 years ago
6 0

Answer:

5=7%=7/100

Step-by-step explanation:

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