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Question: A multiple-choice test has 6 questions. There are 4 choices for each question. A student who has not studied for the test decides to answer all questions randomly with a Probability of success = p =.25. Let X represent the number of correct answers out of six questions.
(i) Use binomial distribution to complete the table
(ii) Find the probability that the student will be successful in at least 4 questions.
(iii) Find the probability that the student will be successful in at most 3 problems
(iv) Compute the mean μ and the standard deviation σ for the above problem.
Probability based on a random experiment - What is the probability of not randomly generating your cousin's telephone number?
Conduct the hypothesis test and provide the test statistic, critical value and/or P- value and state the conclusion.
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If the supermarket begins each morning with a stock of 61 cartons of eggs, approximately what percentage of days will there be a surplus of eggs?
Compute the p-value; and at 95% confidence, test the hypothesis. Assume the population is normally distributed. Compute the test statistic.
Give an example of a function using a set of at least 4 ordered pairs. The domain will be any four integers between 0 and +10. The range will be any four integers between -12 and 5.
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Below is the data set for the amount of trash by ten households (in pounds per day). Assume the population is normally distributed
Use a 0.01 significance level to test the claim that the selection process is biased against Americans of Mexican ancestry. Does the jury selection system appear to be fair?
Assuming that the standard deviation and the normal shape are unchanged, to what level must the mean reduce so that 20 gallons per week is the third quartile rather than the mean?
If the gender-selection method has no effect and boys and girls are equally likely, find the mean number of boys born in groups of 152. Round to the nearest whole number.
Explain the concept of "Regression Analysis", its types (3 types at least), applications and usefulness. Provide real application of its usage.
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