Of all the registered automobiles in a certain state, 10% violate the state emissions standard. Twelve automobiles are selected at random to undergo an emissions test. a) Find the probability that exactly three of them violate the standard. b) Find the probability that fewer than three of them violate the standard. c) Find the probability that none of them violate the standard.

Q: The probability of drawing three non-face cards in a row from a standard deck of cards when the…

A: In a deck of cards, there are 52 cards. There are 12 face cards among those 52 cards.  So (52-12)=40…

Q: According to a study by Oxford University, 75% of all Brits can do routine computations. If an…

A: p = 0.75 n = 11

Q: Out of 30 computer chips, 9 are defective. A- In how many ways can 4 chips be chosen randomly…

A: (A)   Determine the number of ways that 4 chips can be chosen randomly without replacement from…

Q: Assume that when adults with smartphones are randomly selected, 37% use them in meetings or classes.…

A: It is given that the When adults with smartphones are randomly selected, 37% use them in meetings or…

Q: Assume that when adults with smartphones are randomly selected, 45% use them in meetings or classes.…

A: According to the provided information, we have P(Adults with smartphones use them in meetings or…

Q: A cookie is selected at random from a basket containing 27 peanut butter ​cookies, 16 caramel…

A: Given info: The basket contains 27 peanut butter ​cookies, 16 caramel ​cookies, 11 sugar ​cookies,…

Q: Assume that when adults with smartphones are randomly selected, 55% use them in meetings or classes.…

A: Given p=0.55 and n=25 Let X be the adults using smartphones in meetings and classes X ~ B(n, p)…

Q: A public survey reported that 5% of the people now in the community are afraid of walking alone in…

A:

Q: Find the probability of obtaining two heads in the toss of two unbiased coins when (a) at least one…

A:

Q: Assume that when adults with smartphones are randomly​ selected, 51​% use them in meetings or…

A: Let X be the adults with smartphone X~B(n=10, p=0.51) P(X>=5)= ?

Q: What is the probability of finding exactly 5 green M&Ms in any one given bag?

A: Given: n= 40 P( green) = 0.15

Q: An ENGDATA class for engineers consists of 5 industrial, 10 electronics, 12 mechanical, 10…

A: There are total (5+10+12+10+8)=45 students.  Among them (12+10)=22 are mechanical or electrical…

Q: Consider an insurer that offers 2 types of policy: home insurance and car insurance. 87% of all…

A: Solution: Let A be the event that all customers have a home insurance policy. The probability of…

Q: At a college, 24% of all students are taking a course in solar design, 38% are taking a course in…

A:

Q: According to one study conducted at the University of Texas, 70% of all Americans can do routine…

A: p = 0.7 n = 8

Q: The employees of a company were surveyed on questions regarding their education background (college…

A: From given data,   College Degree No College Degree Total Single 120 80 200 Married 180 120…

Q: Of the nine members of the board of trustees of a college, five agree with the president on a…

A: Note: As per Bartleby’s guideline for more than one questions only first is to be answered please…

Q: One- fourth of the freshmen entering UC are out of CAR students. If the students are assigned at…

A:

Q: Suppose that a certain precinct contains 12 voters, of which 7 are Democrats and 5 are Republicans.…

A: From the given information, there are 7 Democrats and 5 are Republicans. The total number of voters…

Q: At a college, 24% of all students are taking a course in solar design, 41% are taking a course in…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Of the nine members of the board of trustees of a college, five agree with the president on a…

A: Let  X be the number of agree with him  P(X>=2)= ?

Q: There are 50 representatives of a certain state at a national political convention, of which 40…

A: There are total 50 representatives. Among them 40 support candidate A and 10 support candidate B.…

Q: Of 120 students, 60 aré studying French, 50 are studying Spanish and 20 are studying French and…

A: Given that  Total students=T=120 French studying=F=60 Spanish studying=S=50 Both studying French and…

Q: Assume that when adults with smartphones are randomly​ selected, 43​% use them in meetings or…

A: According to the provided information, p=0.43 n=10

Q: A presidential candidate plans to begin her campaign by visiting the capitals in 4 of 42 states.…

A: From thegiven  information  A presidential candidate plans to begin her campaign by visiting the…

Q: A poll is given, showing 25% are in favor of a new building project. If 9 people are chosen at…

A: Given data, p=25%=0.25 n=9 P(X=8)=?

Q: A poll is given, showing 60% are in favor of a new building project. If 9 people are chosen at…

A: Sample sizze, n = 9 The probability that exactly one of them are in favour Here the random variable…

Q: Based on a poll, 40% of adults believe in reincarnation. Assume that 5 adults are randomly selected,…

A: Let "X" be the adults who believe in reincarnation.

Q: Suppose that 30% of people own dogs. If you pick two people at random, what is the probability that…

A: Let X be the number of dogs from binomial distribution with probability (p) = 30% = 0.30 and sample…

Q: Assume that when adults with smartphones are randomly​ selected, 52​% use them in meetings or…

A: We have to  find the probability that at least 6 of them use their smartphones in meetings or…

Q: In one lottery, a player wins the jackpot by matching all five distinct numbers drawn in any order…

A:

Q: In a group of 150 men, 70 have played pool at least once. Suppose one of these 150 men is randomly…

A: Given that there are total 150 men.  Out of 150 men, 70 have played pool at least once.

Q: Assume that 158 voters aged 18-24 are randomly selected, suppose 22% of them voted. The probability…

A:

Q: 5. Out of all registered vehicles in California, 95% of them pass the State Emissions Test. If ten…

A: Given information Probability of passing the emission test p = 0.95 10 vehicles are selected X…

Q: Of the entering class at a college, 75% attended public high school, 16% attended private high…

A: The following information has been given: Let A be the event that student is in the Dean's list. Let…

Q: c. A computer system requires that passwords contain at least one digit. If seven characters are…

A: It is given that, If seven characters are generated at random, and each is equally likely to be any…

Q: Assume that when adults with smartphones are randomly selected, 54% use them in meetings or classes.…

A: Given: To find the probability that at least five people use thier smartphones in meeting and…

Q: In a group of 500 women, 120 have played golf at least once. Suppose one of these 500 women is…

A:

Q: Assume that when adults with smartphones are randomly​ selected, 49​% use them in meetings or…

A:

Q: Of the nine members of the board of trustees of a college, five agree with the president on a…

A:

Q: Assume that Jim, Bruce, and Valerie are three of the 35 members of the​ class, and that three of the…

A: We have to find out given probability . ..

Q: if three balls are drawn at random, what is the probability that at least one of them is blue?

A: Three balls are randomly drawn from the box.The probability of at least one of them is blue can be…

Q: Assume that when adults with smartphones are randomly​ selected, 52​% use them in meetings or…

A: Given, out of randomly selected adults with smartphones, 52% use them in meetings or classes. So, X…

Q: In a school of 320 students, 85 students are in the band, 200 students are on sports teams, and 60…

A:

Q: In a school of 320 students, 85 students are in the band, 200 students are on sports teams, and 60…

A: The probability of union of two events A and B is given by, Where Union of event A and B is denoted…

Q: In a class of 267 seniors, 94 study Spanish, 95 study Chemistry, 165 study Mathematics, 18 study…

A:

Q: Of the 28 restaurants in an area, 4 serve one type of cuisine, 9 serve two different types of…

A: We have to find given probability.

Q: Suppose that 40% of Tulane undergraduates intend to continue on to graduate school after completing…

A: Given that 40% of Tulane undergraduates intend to continue on to graduate school after completing…

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.