9 of 20 (0 complete) A binomial experiment is given. Decide whether you can use

Question

9 of 20 (0 complete) A binomial experiment is given. Decide whether you can use the normal distribution to approximate the binomial distribution lf you can, fnd the mean and standard deviation Myou cannot eplain w A survey of fun-time workers found that 57% go to work when they are sick randomly select 3s fullsme workers and ask them wnether they go to work when they are sick You Select the correct answer below and, if necessary. fill in the answer boxes within your choice Yes, the mean is and the standard deviation is IRound to two decimal places as needed.) B. No, because np

Explanation / Answer

1)Probability of worker going to work when they are sick i.e p = 0.57

q = 1-p = 1-0.57 = 0.43

sample size i.e n= 35

mean = np = 35*0.57 = 19.95

variance = np(1-p) = 35*0.57*(1-0.57) = 8.58

standard deviation = variance = 8.5785 = 2.93

np = 19.95> 5, nq = 35*0.43 = 15.05 >5

2)

two values are 3.6 and 3.92

so sampling error = (3.92-3.6)/2 = 0.16

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