The mean time it takes college freshmen to complete the test is 26.0 minutes. The standard deviation is 5 minutes. Assume the variable is normally distributed. Use Z- table for Standard Normal Distribution to find probabilities. a) It will take a student between 17 and 32 minutes to complete the test? Answer:______________________________ b) It will take student less than 32 minutes to complete the test? Answer______________________________ c) It will take student more than 24 minutes to complete the test? Answer_____________________________________ d) Determine the value of X below which 95 percent of the values will occur? Answer_____________________________________________ e) Determine the value of X which separated bottom 10% of the values? Answer____________________________________________ f) It will take a student between 28 and 33 minutes to complete the test? Answer_____________________________________________ g) It will take a student between 16 and 22 minutes to complete the test? Answer_________________________________________
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
The mean time it takes college freshmen to complete the test is 26.0 minutes. The standard deviation is 5
minutes.
Assume the variable is
probabilities.
a) It will take a student between 17 and 32 minutes to complete the test?
Answer:______________________________
b) It will take student less than 32 minutes to complete the test?
Answer______________________________
c) It will take student more than 24 minutes to complete the test?
Answer_____________________________________
d) Determine the value of X below which 95 percent of the values will occur?
Answer_____________________________________________
e) Determine the value of X which separated bottom 10% of the values?
Answer____________________________________________
f) It will take a student between 28 and 33 minutes to complete the test?
Answer_____________________________________________
g) It will take a student between 16 and 22 minutes to complete the test?
Answer_________________________________________
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