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A random sample of 300 random people from a geographic area indicated that 50 of 

them had received vaccine. Estimate the true proportion of people who had been vaccinated with 95% confidence.


A life insurance salesman sells on the average 3 life insurance policies per week, assuming Poisson distribution is followed. Compute the probability he sells more than 2 or more policies for duration of 2 weeks.



A social scientist claims that only 70% of all high school seniors capable of doing college work actually go to college. If a sample of 15 people are chosen, compute the mean and the standard


deviation.


The weights of a women population are normally distributed with mean 60kg and standard deviation 5kg. Find the probability that the weight of a woman chosen at random is more than

65kg.


Problem: Random samples of size N 2 are drawn from a finite

population consisting of the number 5, 6, 7, 8, and 9. Compute for the

Mean, Variance and Standard Deviation of the Population, and the Mean,

Variance and Standard Deviation of the Sample Means.


Let ܺ denote the number of scores on a test. If ܺ is normally

distributed with mean 100 and variance 225, find the probability

that ܺ does not exceed 130.


The scores of individual students on a national achievement test have a normal distribution with a mean of 20.8 and a standard deviation of 1.9 at Feliciano delos Santos high school, 84 students took the test.if the scores of the students at this school have the same distribution as the national scores, how will you describe the sampling distribution of the scores of these students?assume that the population is infinite. Use the given steps above



The average monthly salary for first here teachers is 21,945 if the distribution is approximately normal with a standard deviation of 3250 how much will a teacher earn in a month if his salary has a z score of 1.15


You choose a card at random from a standard deck of cards, replacing each card drawn, until you get a diamond. What is the probability that you will get a diamond in not more than 3 trials?


In a school with 500 students, the average height is 165 +-10 cm. Assuming that the height follows the normal distribution:

If we choose a sample of 25 people from the above school:

What is the probability that a student is taller than 169 cm?

What is the probability that a student is less than 163 cm tall?


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