Calculating probability using normally distributed with mean

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Q1) According to Information Almanac. 80% of adult smokers started smoking before turning 18 years of age. Assume 10 smokers, 18 years of age or older are arbitrarily chosen and number of smokers who started smoking before 18 is recorded.

 

i) Determine the probability P (1.23)

 

ii) Suppose the random variable X is normally distributed with mean =50 and standard deviation =7 calculate P(X )

 

Q2) A 2003 Study found that medical students mean number of hours worked in a week is 81.7. Assume number of hours worked per week by medical residents is approximately normally distributed, with standard deviation of 6.9 hours.

 

i) Determine the probability that randomly selected medical resident works more than 100 hours in a week.

 

ii) Find out the probability that randomly selected medical resident works less than 60 hours in a week.

Reference no: EM1322769

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