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The time needed to complete a mid term exam at Jimma university for a given course is normally distributed with a mean of 80 minutes and a variance of 100 minutes.
1. what is the probability of completing the exam in one hour or more?2. what is the probability that a student will complete the exam in more than 60 minutes but less than 75 minutes?3. Assuming the class has 60 students and that the examination time is one hour and 30 minutes in length. how many students do you expect will be able to complete the exam within the allotted time?4.
Demands for an item are part of a poisson process and are made on a warehouse 3 times per day. What is the probability that on a given day this item is requested:
(a) Consider a normal distribution with mean μ = 88. If 2% of the values lie below x = 50, find the standard deviation σ. (b) Consider a normal distribution with standard deviation σ = 15.6. If 10% of the values lie above x = 17.2, find the mean μ.
Create an example of an application oriented binomial experiment. You are to give the scenario which should include an "n" and "p".
A busy landscaping supplies company sells wood chips for garden mulch. The mulch is sold by the cubic metre and delivered to households in a small truck.
Consider binomial distribution with 14 identical trials, and probability of success of 0.4.
Find the mean and the standard deviation of the sampling distribution of -x and find the interval containing 95.44% of all possible sample means returns.
Test the hypothesis that the proportion of all student cell phone users in the United States who own a smartphone is 35%. Use the 5% level of significance and report your results.
ComputerWare asked 500 of its iMac purchasers what computer they owned or had owned. There were 83 new computer owners, 60 who had owned a Windows-based computer, and 357 who had owned a Macintosh.
Given that P (A) = 0.7, P (B) = 0.5, and P (A B) = 0.8. Find the following probabilities:
Tests of hypothesis for two populations. List one test statistic that could be used for comparing two populations with hypothesis testing. Can you think of an example where this could be used?
Explain the difference between independent samples and dependent samples. Classify the following as independent or dependent samples:
Chebyshev's Theorem states that the percentage of observations in a data set that should fall within five standard deviations of their mean is
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