The table below describes the smoking habits of a group of asthma sufferers Ligh

Question

The table below describes the smoking habits of a group of asthma sufferers Light Heavy Nonsmoker smoker smoker Total Women 356 79 72 507 Total 715 168 150 1033 one the 103 subjects is randomly selected, find the probability that the person chosen is a woman given that the is a light smoker. Find the probability. 11) Find the probability of correctly answering the first5 questions on a multiple choice test if random guesses are made and each question has 4 possible answers. Use the general multiplication rule to find the indicated probability, 12) A sample of 4 different calculators is randomly selected from a group containing39 that are defective and 27 that have no defects. What is the probability that all four of the calculators selected are defective? Find the indicated probability. 13) In a batch of 8000 clock radios 4% are defective. A sample of 10 clock radios is randomly selected without replacement from the 8.000 and tested. The entire batch will be rejected if at least one of those tested is defective. What is the probability that the entire batch will be rejected? Provide an appropriate response. 140 A tourist in Ireland wants to visiteight different cities. If the route is randomly selected, what is the probability that the tourist will visit the cities in alphabetical order? Round your answer tofive decimal places.

Explanation / Answer

Q11.

expecetd number of questions that are right in asnwering randomly ( np ) =5 * 0.25 = 1.25

Q12.

Binomial Distribution
PMF of B.D is = f ( k ) = ( n k ) p^k * ( 1- p) ^ n-k
Where   
k = number of successes in trials
n = is the number of independent trials
p = probability of success on each trial
P( X = 4 ) = ( 4 4 ) * ( 0.5909^4) * ( 1 - 0.5909 )^0
= 0.1219

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