Find the probability that the student is enrolled in math

Assignment Help Basic Statistics

Reference no: EM13642573

1. A quiz has 5 multiple-choice questions where each question has 4 possible answers but only 1 is the correct answer.

a. How many ways can the quiz be completed by selecting one and only one answer per question?

b. How many ways can the quiz be completed by selecting one and only one answer per question so that every answer is incorrect?

c. If a student selects the answer to each question at random, what is the probability that every answer is incorrect?

d. If a student selects the answer to each question at random, what is the probability that at least one answer is correct?

2. Suppose a family has 8 babies where 3 are boys and 5 are girls.

a. How many ways can the 8 babies be assigned to 8 different cribs (1 per crib)?

b. How many ways can 4 babies be selected from the 8 for a visit to the pediatrician?

c. How many ways can 4 babies be selected for a visit to the pediatrician if 1 is a boy and 3 are girls?

3. An undergraduate student will be randomly selected from the student body of a large state university. Let event A = "the student is enrolled in a math class" and let event B = "the student is enrolled in an English class". Suppose that 55% of students are enrolled in math, 35% are enrolled in math but not English and that 5% are enrolled in neither math nor English.

a. Express the percentages described above as probability statements in terms of events A and B.

b. Find the probability that the student is not enrolled in English. Use proper probability notation.

c. Find the probability that the student is enrolled in math or English (or both). Use proper probability notation.

d. Find the probability that the student is enrolled in both math and English. Use proper probability notation.

e. Determine whether the events A and B are independent using a mathematical definition of independence. Hint: Are A and B' independent?

Reference no: EM13642573

Questions Cloud

One marble is drawn at a time without replacement from an : one marble is drawn at a time without replacement from an urn that initially contains 6 white and 4 black marbles. find

What is the probability that the part is from supplier 3 : a company buys components from three suppliers. they get 50 from supplier 1 20 from supplier 2 and the rest from

Given that what would his strategy be in order to minimize : an athlete in a competition needs to get from point a to another point b directly across from a river. he can swim in

The mean brain volume for a group of healthy adults is : the mean brain volume for a group of healthy adults is collected and the mean brain volume of adults diagnosed with

Find the probability that the student is enrolled in math : 1. a quiz has 5 multiple-choice questions where each question has 4 possible answers but only 1 is the correct

A capacitor has parallel plates that have an area of 103 : a capacitor has parallel plates that have an area of 1.03 cm2 and are 1.04mm apart. there is a vacuum between the

Tasks are sent to a supercomputer at an average rate of 6 : tasks are sent to a supercomputer at an average rate of 6 tasks per minute. their arrivals are modeled by a binomial

Suppose that a random variable x has the probability : suppose that a random variable x has the probability distributionfxx 0 if x lt 0x214 if 0 greaterthanorequalto x lt

The acceleration of gravity is 981 ms2 find the magnitude : a 2.4 kg block rests on a frictionless wedge that has an inclination of 40 and an acceleration to the left such that

User Account

All Pages