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In one of Mendel's experiments with plants, 1064 offsprings consisted of 787 plants with long stems. According to Mendel's theory, 3/4 of the offspring plants should have long stems. Assuming that Mendel's proportion of 3/4 is correct, find the probability of getting 787 or fewer plants with long stems among 1064 offspring plants. compare answers with binomial and normal approximation.
A furniture store claims that a specially ordered product will take, on average, M = 35 days (5 weeks) to arrive. The standard deviation of these waiting times is 8 days.
Binomial Distribution: Control Charts this problem will be referred to in the study of control charts. In the binomial probability distribution, let the number of trials be n = 3, and let the probability of success be p = 0.0228.
Give the expected value and standard deviation of defective shoes in the ShoeFit store order.
What is the distribution of X? State its mean and variance.
Provide an example of an application of the normal distribution. Explain why standard normal distribution can be used to find the probabilities for all normal distributions?
Use the Chi-square test of independence with a .01 level of significance to determine whether appeal is independent from type.
Suppose you randomly choose a sample of 30 observations from a normal distribution. You then use those observations to estimate the mean of the population.
An independent-measures t test produced a t statistic with df=20. If the same data had been evaluated with an analysis of variance, what would be the df values for the F-ratio?
How large should the sample be if I want to maintain a 95 percent level of confidence and suffer a maximum error of $2.00 in my estimate of the highest price consumers are willing to pay?
Illustrate the maximum number of reservations that it could accept for a flight with a capacity of 160, if it needs the probability of accommodating all reservation holders to be at least 95%.
Given the following number of hours between breakdowns for 4 machines, are the machines significantly different? If so, how are they different? Which machine is the best? Which machine is the worst?
Solve different inventory control problems using an appropriate OR method.
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