Read all instructions carefully. Make sure all questions are answered Show all w

Question

Read all instructions carefully. Make sure all questions are answered Show all work for eredit (Credit is gnly given if work is provided). Use the appropriate notation for your answers. Rounding: Leave your answer in fraction form or round to 2 decimal places 1. A survey classifies teenagers by gender and favorite social media site. Twitter Instagram Male 332 36 400 600 32 Gender Female Ttal 704112 184 If one teenager is selected at random from this population, determine the following: a) (1) The probability the selected teenager prefers Instagram. b) (1) The probability the selected teenager is female. 0.6 c) (2) The probability the selected teenager is not female. d) (2) The probability the selected teenager prefers Instagram or is female. e) 2) The probability the selected teenager prefers Instagram and is a female. 0 2) The probability the selected teenager prefers Instagram given the teenager is female.

Explanation / Answer

Solution :

From given table,

a) P(Instragram) = 184 / 1000 = 0.18

b) P(Female) = 600 / 1000 = 0.60

c) P(not female) = P(male) = 400 / 1000 = 0.40

d) P(Instagram and Female) = 152 / 1000 = 0.15

e) P(Instagram | Female) = 152 / 600 = 0.25

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