21- If one student is randomly selected, find the probability that his score be less than 71:
A) 0.7158 B) 0.2843 C) 0.4934 D) 0.6432
22- If 25 students are randomly selected, find the probability that the mean of their scores be less than 71:
A) 0.9930 B) 0.9979 C) 0.0021 D) 0.0021
23- Why can the Central Limit be applied in question #22, if the sample size doesn't exceed 30?
A) Because the theorem is easy to apply
B) Because the population has a Normal distribution
C) Because this theorem is very important in inferential statistics.
D) Because this theorem apply only in scores distributions.
Probability Math Exam
A final Math exam has a normal distribution with mean 73 and standard deviation 3.5.
21- If one student is randomly selected, find the probability that his score be less than 71:
A) 0.7158 B) 0.2843 C) 0.4934 D) ...
Solution Summary
The solution provides step by step method for the calculation of probability using the Z score. Formula for the calculation and Interpretations of the results are also included.
... µ Standardizing the variable X using Z = = and from standard σ 20 normal tables, we can find the probabilities as follows. a. What is the probability that a ...
... 2). Standardizing X using Z = = X σn n 2 and from standard normal tables, we can find the probabilities as follows. a. what is the probability that the ...
... Poisson random variable is given by The probabilities for different ... a). P(X=8) = 0.065278039 b). Probability of at ... 2 Demand for a product is normal, with mean ...
... P (X > 525) = 0.2184. Normal Probabilities. Common Data Mean 490 Standard Deviation 45. Probability for X > X Value 525 Z Value 0.777777778 P(X>525) 0.2184. ...
... Standardizing the variable X using Z = = and from standard normal σ 0.07 tables, we can find the probabilities as follows. a) What is the probability that a ...
... by step method for the calculation of binomial and normal probabilities. Workings are given in the excel sheet. Assume a binomial probability distribution with ...
Calculating z-Scores, Normal Probabilities and Binomial Probabilities. ... In this module, you are shown how to estimate the probability of getting a certain z ...
... 3- In the above problems involving samples, we have used the normal distribution probability table to calculate probabilities involving the means of the samples ...
