Review the follo problem and correct ALL mistakes 1. Students in three of Mr. Ba

Question

Review the follo problem and correct ALL mistakes 1. Students in three of Mr. Barnaby's classes are asked which type of device they prefer. Block A: smartphone-12; tablet-15; laptop-5 Block B: smartphone-7; tablet-19; laptop -4 Block C: smartphone 16; table -11; laptop-8 Complete a two way frequency table to organize the data. What is the probabilty that a randomly selected student who prefers tablets is in Mr. Barnaby's block A class. Use this space to show you're tabel. Answer C Total 25 15 11 19 45 17 32 25 30 87 15 The probability is 3 12 16 32 Tablet Laptop Total

Explanation / Answer

1.) The frequency table has mistake. The Column B and Column C has to be replaced.

The Proper 2 way frequency table is given below:

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Let P(T) = Probability that student prefers Tablet

Let P(A) = Student belongs to class A

we have to find:

P(A|T) = student belongs to class A if prefers Tablet

we know:

P(T|A) : student prefers tablet if from class A = 15/32

P(T) = 45/97

P(A) = 32/97

Now, from baye's theorem:

P(A|T) = (P(T|A) * P(A)) / P(T) = 1/3

A B C Total Smartphone    12 7 16 35 Tablet 15 19 11 45 Laptop 5 4 8 17 Total 32 30

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