Question

In: Statistics and Probability

What is the probability that every student in a class of 20 will pass the quiz?

Expert Solution

Assume that the probability for a student to pass and fail in the quiz are equal (equal chance to pass and fail).

Therefor probability for a student to pass the quiz = probability for a student to fail the quiz = 1/2 = 0.5

Let X = number of students who pass the quiz.

n = total number of students = 20

p = probability of a student to pass the quiz = 0.5

q = 1-p = 0.5

Here X follows Binomial distribution with probability mass function,

probability that every student will pass the quiz =

OR

probability that every student in a class of 20 will pass the quiz

___________________________________________________________________________________________________

orchestra answered 1 year ago

An underprepared student takes a 8 question multiple choice quiz by guessing every answer. There are...

An underprepared student takes a 8 question multiple choice quiz by guessing every answer. There are 5 choices (a,b,c,d,e). answer the following... what is p1, p2 and n (a). the average number of correct questions. (b). the standard deviation in correct question. (c) the probability of no questions correct. (e) the probability of getting at least 1 correct. (f) the probability of getting fewer than 3 questions correct. (g) the probability of getting exactly half correct.

The probability that a person has 20-20 vision is 0.13 The class is 40 students. What...

The probability that a person has 20-20 vision is 0.13 The class is 40 students. What is the mean and the Standard deviation of the number with 20-20 vision in the class.

Student scores on a chapter quiz are:

Student scores on a chapter quiz are: 6 3 4 9 7 5 5 2 10 9 8 4 4 7 6 3 2 10 9 5 a) Find the mean, median, mode and midrange for this data. b) Find the range, standard deviation and variance for this data. c) Find the z-score for the value 7 and the cutoffs for the data set that are considered unusual.

The probability that a bridge won't pass a wellness check is 0.09. What is the probability...

The probability that a bridge won't pass a wellness check is 0.09. What is the probability that in a sample of 12 bridges, 2 or more will not pass? *The bridges are independent,

Calculating the probability that in a class of 20 students, there are at least two with...

Calculating the probability that in a class of 20 students, there are at least two with the same birthday. (a) First, calculate the probability that each student has a different birthday as follows (round to four decimal places) b) Explain briefly why the above probability is calculated that way. (c) Now note that the probability that there are at least two with the same birthday is the complement of the above probability. What is the probability that there are at...

As a student you have probably noticed a curious phenomenon. In every class, there are some...

As a student you have probably noticed a curious phenomenon. In every class, there are some students who zip through exams and turn their papers in while everyone else is still working. Other students continue working until the very last minute. Have you ever wondered what grades these students get? Are the students who finish first the best in the class or are they simply conceding failure? To answer this question, we carefully observed a recent exam and recorded the...

4.81e+20 electrons pass through a point in an electrical circuit every 4.96 seconds. (a) 2080 C...

4.81e+20 electrons pass through a point in an electrical circuit every 4.96 seconds. (a) 2080 C of charge pass through that point in how many minutes? (b) The current though that point is ______ A. (c) If the resistance of the circuit is 29.3 ? across this leg of the circuit, the voltage across this leg of the circuit is _______ V.

In Mr ERIZ’s class, the probability of student who likes Mathematics subject is 0.5 and the...

In Mr ERIZ’s class, the probability of student who likes Mathematics subject is 0.5 and the probability who likes both Mathematics and Statistics subjects is 0.25. If one student is chosen at random, what is the probability that this student likes Statistics given that he/she also like Mathematics subject? If the probability of students who like Statistics is 0.45, are the events ‘like Mathematics subject’ and ‘like Statistics subject’ independent? Justify your answer. (4 marks) Are...

What is the probability that a randomly selected CMSU student will be male? The Student News...

What is the probability that a randomly selected CMSU student will be male? The Student News Service at Clear Mountain State University (CMSU) has decided to gather data about the undergraduate students that attend CMSU. CMSU creates and distributes a survey of 14 questions and receives responses from 62 undergraduates What is the probability that a randomly selected CMSU student will be female? Find the conditional probability of different majors among the male students in CMSU. Find the conditional probability...

For this assignment, write a program that will calculate the quiz average for a student in...

For this assignment, write a program that will calculate the quiz average for a student in the CSCI 240 course. The student's quiz information will be needed for later processing, so it will be stored in an array. For the assignment, declare one array that will hold a maximum of 12 integer elements (ie. the quiz scores). It is recommended that this program be written in two versions. The first version of the program will read a set of quiz...