In Akutan, Alaska, men are 77% of the population. It is also known 11.3% of Akutan males smoke cigars while 2.1% of Akutan females smoke cigars. One

member of the population is selected at random for a survey involving cell

phone carriers

Express the cigar smoking data as conditional probabilities.

Find the

probability that the selected subject does not smoke cigars given that the

subject is male

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Step-by-step explanation:

Given the following :

Proportion of males, P(M) = 77% = 0.77

Proportion of females = ( 1 - proportion of males) = (1 - 0.77) = 0.23

Percentage of males who smoke cigar = 11.3% = 0.113

Percentage of female who smoke cigar = 2.1% = 0.021

Expressing cigar smoking Data as conditional probability :

P(male and smoking) = P(M n C) = 0.113

P(Female and smoking) = P(F n C) = 0.021

Probability of smoking cigar Given the person is a male :

P(C | M) = P(M n C) / P(M)

Probability of smoking cigar Given person is a female :

P(C | F) = P(F n C) / P(F)

Find the probability that the selected subject does not smoke cigars given that the subject is male?

No smoking Given Male = 1 - P(C | M)

P(C | M) = P(M n C) / P(M)

P(C | M) = 0.113 / 0.77

P(C | M) = 0.1467

1 - P(C | M)

1 - 0.1467

= 0.8533

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step-by-step explanation:

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