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What are some typical applications of the Binomial and the Poisson probability distribution? Explain with examples. When is the Hypergeometric distribution used?
The Financial Advisor exam has a mean of 500 and a standard deviation of 20. If the bank chooses to hire either Steve or Mark based solely on their exam performance, who is the bank more likely to hire? Show evidence for your answer.
Determine the probability that exactly 8 of them started smoking before 18 years of age.
An experiment was conducted to compare the effects of two teaching styles for grade 12 mathematics. the individuals in experiment were grade 12 math students from one particular high school.
According to a recently conducted survey, 90% of all drivers in Trinidad and Tobago claim to consistently driver over the legal speed limit.
Assume that 13 % of the population of the U.S. is left-handed. If a random sample of 180 people from the U.S. is chosen, approximate the probability that fewer than 26 are left-handed.
A sample of n=20 has a mean of M=40. If the standard deviation is s=5, would a score of x=55 be considered an extreme value?
The consequences of the central limit theorem is that if we end up averaging the measurements of a particular quantity, the distribution of an average tends on going toward a normal one?
A random sample of 7 students selected from a large class revealed the following scores: midterm 70, 62, 57, 68, 89, 63, 82 and on the final 80, 79, 87, 88, 85, 79, 91. Is there evidence of an improvement on the final?
Following is based on information from Statistical abstract of the United States, Dec, 1992. Are A and B mutually exclusive?
A normal distribution has a mean of µ = 70 with σ = 12. If one score is randomly selected from this distribution, what is the probability that the score will be less than X = 55?
Telephone calls arrive at a switchboard in a Poisson process at the rate of 2 per minute. A random one-tenth of the calls are long distance.
Point out your final decision concerning hypothesis test and compute p-value for test.
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