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Colt1911 [192]
4 years ago
10

HELP ME PLEASE

Mathematics
2 answers:
Zepler [3.9K]4 years ago
8 0

Answer:

Step-by-step explanation:

Given is a table showing the survey for preference of spring/fall by males/females

Table is as follows:

        Spring    Fall   Total

Male 26 19       45

Female 22 29     51

Total        48    48    96

To prepare two way frequency table

Males spring together = 26 hence prob = 26/96

Males fall together = 26 hence prob = 19/96

Feales spring together = 22 hence prob = 22/96

Females spring together = 29 hence prob = 29/96

              Spring    Fall        Total

Male       0.271 0.198 0.469    

Female 0.229 0.302     0.531

Total        0.500       0.500    1.00

GrogVix [38]4 years ago
7 0
     Male 0.271 0.198
Female 0.229  0.302

I think that's right because that's what my quiz said

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Of all the soft drink consumers in a particular sales region, 30% prefer Brand A and 70% prefer Brand
victus00 [196]

Answer:

Option D -0.67

Step-by-step explanation:

Given : Preference of Brand A =30% ⇒ P(A)=\frac{30}{100}=0.3

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To find : Selected consumer is female, given that the person prefers Brand A P(F/A)

Solution : Using Bayes' theorem, which state that

P(A/B)=\frac{P(B/A)P(A)}{P(B)}

where, P(A) and P(B) are probabilities of observing A and B.

P(B/A)= is a conditional probability where event B occur and A is true

P(A/B)= also a conditional probability where event A occur and B is true.

Now, applying Bayes' theorem,

P(F/A)=\frac{P(A/F)P(A)}{P(B)P(B/F)+P(A)P(A/F)}

P(F/A)=\frac{(0.2)(0.3)}{(0.7)(0.4)+(0.3)(0.2)}

P(F/A)=\frac{0.6}{0.28+0.6}

P(F/A)=\frac{0.6}{0.88}

P(F/A)=0.68

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4 years ago
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