SOLUTION: Stress at work: In a poll conducted by the General Social Survey, 81% of respondents said that their jobs were sometimes or always stressful. Ten workers are chosen at random. What
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Question 1144017: Stress at work: In a poll conducted by the General Social Survey, 81% of respondents said that their jobs were sometimes or always stressful. Ten workers are chosen at random. What is the probability that more than 6 find their jobs stressful?
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
Use the Binomial Probability formula,
:
Probability(P) (k successes in n trials) = nCk * p^k * (1-p)^(n-k), where nCk = n!/(k! * (n-k)!)
:
for your example, p = 0.81, n = 10, k = 7, 8, 9 , 10
:
P(more than 6 find their jobs stressful) = summation from k = 7, 10 of P(k successes in 10 trials) = 0.896 is approximately 0.90
:
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The probability that more than 6 find their jobs stressful = 90%
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