#21 A true/false quiz consists of 28 questions. If all answers are random guesses, estimate the...

#21

A true/false quiz consists of 28 questions. If all answers are random guesses, estimate the probability of getting at most 18 correct by using the normal distribution as an approximation to the binomial distribution. Enter your answer rounded to four decimal places.

Expert Solution

We have given,

n=28
p=0.5

np=14
nq=14

Since, therefore, we need to use here,Normal Approximation for the Binomial Distribution

=P[X<18.5].................by using continuity correction.

=P[Z<1.70]

=0.9554.................by using Z table.

orchestra answered 2 years ago

quiz has 5 questions. multiple choice with 4 possible answers each. a student randomly guesses on...

quiz has 5 questions. multiple choice with 4 possible answers each. a student randomly guesses on all 5 questions. 1) what is the probability of that student getting a passing grade(60% correct is passing) 2) what is the probability of that student getting a B or better (a low B is 80%) 3) what is the probability of that student failing the quiz?

1.) A student takes a ten-question true-false quiz, but did not study and randomly guesses each answer....

1.) A student takes a ten-question true-false quiz, but did not study and randomly guesses each answer. Find the probability that the student passes the quiz with a grade of at least 70% of the questions correct. 1. Identify 2. First, find the number of correct questions needed to get 70%. 3. Then write an appropriate probability statement. 4. Then find the probability 2.) Suppose that about 85% of graduating students attend their graduation. A group of 22 graduating students is randomly...

11) A student takes a true-false test that has 20 questions and guesses randomly at each...

11) A student takes a true-false test that has 20 questions and guesses randomly at each answer. Let X be the number of questions answered correctly. Find P(19 or more) A) 0.1719 B) 0.006 C) 0.00002 D) 0.07 12) It is estimated that 35% of households own a riding lawn mower. A sample of 10 households is studied. What is the probability that more than 7 of these own a riding lawn mower? (hint: you can use binomial or independent...

Binomial Probabilities A multiple-choice quiz consists of n = 10 questions in the form True or...

Binomial Probabilities A multiple-choice quiz consists of n = 10 questions in the form True or False. Mary assumes that her comprehension level is p = 0.70, so that is the chance that she picks up a right answer. Let M denote a number of questions Mary answered correctly. Suppose that all TEN trials are independent. Answer questions below using answers in the multiple-choice format. No calculation is required here. Just recognize the proper formula for each case. A: (10)...

A quiz consists of 20 multiple choice questions, each with five possible answers, only one of...

A quiz consists of 20 multiple choice questions, each with five possible answers, only one of which is correct. If a student guesses on each question, what is the mean and standard deviation of the number of correct answers? Round to the nearest thousandth. ______________________________________________________________ A. The mean is 10. The standard deviation is 3.162. B.The mean is 4. The standard deviation is 1.789. C.The mean is 10. The standard deviation is 1.789. D.The mean is 4. The standard deviation...

Answer true or false to the following questions please explain your answers and answer all please ...

Answer true or false to the following questions please explain your answers and answer all please 1.The cytoplasmatic side of the integral membrane proteins is often glycosylated. 2. Cholesterol is more enriched at the outer leaflet of the plasma membrana 3.Inner leaflet of the plasma membrane is enriched with glycolipids. 4.Membrane proteins that pomp ions in and out of the cell have specific Km values. 5. A symport would function as an antiport if its orientation in the membrane were...

If you make random guesses for 10 multiple choice test questions each with 5 possible answers),...

If you make random guesses for 10 multiple choice test questions each with 5 possible answers), what is the probability of getting all answers correct?

Macroeconomics True or False questions. ( ) 21. The price change is not related to unemployment.....

Macroeconomics True or False questions. ( ) 21. The price change is not related to unemployment.. ( ) 22. The growth of per capita GDP is not related to immigration. ( ) 23. Persons of not-in-labor force are not related to employment ratio. ( ) 24. Natural unemployment rate is related to cyclical unemployment rate. ( ) 25. The spending GDP is the income GDP in its scope. ( ) 26. GDP deflator measures the price changes from the base...

A student takes random guesses at each problem on a 15-problem quiz. Each problem is a...

A student takes random guesses at each problem on a 15-problem quiz. Each problem is a multiple choice question with 5 possible solutions. What is the probability that the student gets a B (80.0% - 89.5%) on the quiz?

A student hasn’t studied at all and therefore guesses each answer uniformly at random, independently of all the other answers. Define the following random variables:

A student hasn’t studied at all and therefore guesses each answer uniformly at random, independently of all the other answers. Define the following random variables: • R: the number of answers the student gets right • W: the number of answers the student does not get right • S: the student’s score on the test Q1a: What is the distribution of R? Either state the possible values and provide a formula for the probabilities, or provide the name and...

Question