Q1
In a class on 50 students, 35 students passed in all subjects, 5failed in one subject, 4 failed in two subjects and 6 failed inthree subjects.
Construct a probability distribution table for number of subjects astudent from the given class has failed in.
Calculate the Standard Deviation.
Q2
45 % of the employees in a company take public transportation dailyto go to work. For a random sample of 7 employees, what is theprobability that at most 2 employees take public transportation towork daily?
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    Q3. Find
       a) P(z < 1.87)
       b) P(z > -1.01)
       c)  P(-1.01< z < 1.87)
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Q4
Assume the population of weights of men is normally distributedwith a mean of 175 lb. and a standard deviation 30 lb. Find theprobability that 20 randomly selected men will have a mean weightthat is greater than 178 lb.
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Q5
We have a random sample of 100 students and 75 of these people havea weight less than 80 kg. Construct a 95% confidence interval forthe population proportion of people who have a weight less than 80kg.
Q6
We have a sample of size n = 20 with mean x ̅ =12 and the standarddeviation σ=2. What is a 95% confidence interval based on thissample?
