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X is said to be Position distributed with parameter lambda >0 if it has the following pmf: PX(x)= (lambda ^x)*e^(-lambda)/ x! where x = 0, 1, 2... and 0 otherwise. 1. For a certain virus , it is discovered that in 74% of the cases where the virus replicates, the replicate contains at least one mutation. If we assume that the number of mutations per replication is a random variable having a Poisson distribution, find the mean number of mutations per replication, and the percentage of replications that have 5 or more mutations. 2. Suppose that X~ Poisson(lambda), find E[X(X-1)(X-2)(X-3)].
A contractor is responsible for drainage network cleaning and shall ensure that the required level of service is achieved. The required level of service is that any point in time no more than 3% of Drainage Inlet pits and no more than 3% of Drains ar..
Does the evidence suggest that postpartum women do not get enough sleep? Use =0.05 level of significance. How is the problem set up using the classical and P-value approach.
Carpet City wants to develops a means to forecast it carpet sale. The store manager believes that the store's sale are directly related to the number of new housing starts in town.
A standard deviation of 14 inches. What is the probability that the mean annual snowfall during 49 randomly picked years will exceed 96.8 inches?
What can you tell me about the direction, strength and significance of this association and What would you expect for somebody without any formal education whatsoever and what can you tell me about the nature of this relationship?
The marks on a statistics midterm test are normally distributed with a mean of 78 and a standard deviation of 6. What is the probability that a class of 50 has an average midterm mark that is more than 75?
The following number of grades were recorded. Find the critical value to determine if the grade distribution for the department is different than expected. Use α = 0.01.
Team Sports Inc. sells sporting goods to high schools and colleges via a nationally distributed catalogue. Management at Team Sports estimates it will sell 2000 Wilson Model A2000 catcher’s mitts next year.
Find the approximate percentile ranks of these scores by constructing a percentile graph (Ogive).Use the Ogive, estimate percentile of a student who scored 200 points in the test? What is the student score must be in order in the 90 percentile?
A shoe salesman want to see if his female customers have a preference in the color of shoe purchased. What is the test value for the following data?
Describe how the confidence intervals will change depending on whether the population standard deviation is known or unknown.
At the 0.05 level of significance, is there evidence of a difference in the mean waiting times in the four locations? State your null and alternative hypotheses. (Note: while the small sample size could justify use of the non- parametric Kruskal-W..
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