Math

StatisticsQ&A LibraryChecking Requirements Common tests such as the SAT, ACT, Law School Admission test (LSAT), and Medical College Admission Test (MCAT) use multiple choice test questions, each with possible answers of a, b, c, d, e, and each question has only one correct answer. We want to find the probability of getting at least 25 correct answers for someone who makes random guesses for answers to a block of 100 questions. If we plan to use the methods of this section with a normal distribution used to approximate a binomial distribution, are the necessary requirements satisfied? Explain.Question

Asked Jan 12, 2020

1 views

Checking Requirements Common tests such as the SAT, ACT, Law School Admission test (LSAT), and Medical College Admission Test (MCAT) use multiple choice test questions, each with possible answers of a, b, c, d, e, and each question has only one correct answer. We want to find the probability of getting at least 25 correct answers for someone who makes random guesses for answers to a block of 100 questions. If we plan to use the methods of this section with a normal distribution used to approximate a binomial distribution, are the necessary requirements satisfied? Explain.

Step 1

From the given information,

Sample size (*n*) = 100

Probability of success = 1/5

=0.2

Step 2

By using the normal approximation of binomial distribution.

For that, we must have *...*

Tagged in

Find answers to questions asked by student like you

Show more Q&A

Q: Let A and B be events, each with positive probability. a. State inwords what it means for event B to...

A: a)Event B is said to be positively correlated with event A, if the probability of event B is increas...

Q: Applying the Concepts and Skills In Exercises, determine the range and sample standard deviation for...

A: Range:The range is the difference between the largest and smallest observations in a set of data. Th...

Q: Black Cars Use subjective probability to estimate the probability of randomly selecting a car and ge...

A: Note: In this context, the information about the colors of cars is not ,mentioned. So, we consider a...

Q: Apply Chebyshev’s rule to solve Exercises. A quantitative data set of size 80 has mean 30 and standa...

A: Solution: We are given that the mean and standard deviation is:

Q: Give an example of the conditional probability of an event being the same as the unconditional proba...

A: Independent eventIf two events A and B are independent then the conditional probability of an event ...

Q: Regarding the general multiplication rule and the conditional probability rule: a. State these two r...

A: a)The general multiplication rule:

Q: In this exercise, you will compare Chebyshev’s rule and the empirical rule. a. Compare the estimates...

A: a)The Chebyshev’s rule estimates at least 75% of observations lie within two standard deviations of ...

Q: Checks In a recent year, the author wrote 181 checks. Find the probability that on a randomly select...

A: Mean of Poisson distribution:The formula is given by,

Q: For the following situation, find the mean and standard deviation of the population. List all sample...

A: ,The mean of the population is,