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12) If the probability of a construction worker in a certain community having un

ID: 3375388 • Letter: 1

Question

12) If the probability of a construction worker in a certain community having untreated skin cancer is 0.17, what is the probability that three totally unrelated construction workers from the community do not have untreated skin cancer? 13) A coin is tossed eight times. How many different outcomes are there? 22st 14) The U.S. Department of Health and Human Services reports that 15% of Americans have chronic sinusitis. If 5 people are selected at random, find the probability that at least one has chronic sinusitis. 15) A Gallup poll found that 69% of Americans worry about the quality of their diet. If 4 people are selected at random, find the probability that: a) all worry about their diet b) none worry about their diet 16) In a certain state Teacher's certificate consist of three letters followed by four digits. How many different certificates can be formed if: a) no letter or digit may be repeated b) numbers can be repeated but letters cannot and the second digit must be 6 or 8 c) numbers and letters can be repeated but the first two numbers can not be 0,2,4 and the first two letters cannot be vowels. 17) if three cards are drawn from an ordinary deck without replacement, find the probability of getting: a) all even numbers b) not an even number c) at least one even number 18) How many different four-digit identification tags can be made if the irst digit must be a 4, the second digit must be a number greater than 4, and repetitions are permitted. 19) A die is rolled three times. Find the probability of getting at least a 5

Explanation / Answer

QUestion 12

Pr(Construction worker have skin cancer) = 0.17

Pr(Three workers all dont have skin cancer) = (1 -0.17)3 = 0.5718

Question 13

Coin is tossed 8 times. Number of different outcomes are 28 = 256

QUestioon 14

Pr(Chronic sinusitis) = 0.15

Here sample size n = 5

Pr(at least one has Chronic sinusitis) = 1 - Pr(no one has Chronic sinusitis) = 1 - ( 1- 0.15)5 = 0.5563

Question 15

Pr(Worry about quality of their diet) = 0.69

Sample size n = 4

(a) Pr(all people worry about their diet) = 0.694 = 0.2267

(b) Pr(None worry about their diet) = (1 - 0.69)4  = 0.0092