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Here is a simple probability model for multiple-choice tests. Suppose that a student has probability p of correctly answering a question chosen at random from a universe of possible questions. (A good student has a higher p than a poor student.) The correctness of an answer to any specific question doesn't depend on other questions. A test contains n questions. Then the proportion of correct answers that a student gives is a sample proportion from an SRS of size n drawn from a population with population proportion p.
(a) Julie is a good student for whom p = 0.8. Find the probability that Julie scores 75% or lower on a 100 question test.
(b) If the test contains 250 questions, what is the probability that Julie will score 75% or lower? (Use the normal approximation to the sampling distribution to solve this problem.)
The mean of a standard normal probability distribution.
Calculate the expected value of this undertaking (make sure to take into account the thief's initial wealth).
Probability of a flush. Poker player holds flush when all 5 cards in hand belong to same suit (clubs, diamonds, hearts, or spades).
Students are the University of New Harmony received 10, 000 course grades last semester. The table below breaks down these grades by which school of the university taught the course.
A point estimate for a parameter is a single number designed to estimate a quantitative parameter of a population, usually the value of the corresponding sample statistic
As you know, the percentile for a value is a measure of where that value stands with respect to the rest of the data. As a criterion for college admissions, why would many schools use a percentile value for a standardized test, rather than a raw s..
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A coin is tossed 20 times. A person, who claims to have ESP is asked to predict the outcome of each flip in advance. She predicts correctly on 14 tosses.
The probability is 90% that the sample percentage will be contained within what symmetrical limits of the population percentage?
Company A is hoping to expand its operations and a small group of investors is visiting next week. You are tasked with the duty of explaining how Company A uses this information from a linear programming model to optimize its shipping.
A researcher conducts some research in which they identify a significant positive correlation (r =0.42) between the number of children a person has and their life satisfaction. Which of the following is it inappropriate to conclude from this resea..
The populations must all be normally distributed, what is meant by normally distributed?
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