There are 30 restaurants in a certain town. Assume that four of them have health code violations. A health inspector chooses 10 restaurants at random to visit. a) What is the probability that two of the restaurants with health code violations will be visited? b) What is the probability that none of the restaurants that are visited will have health code violations?

Q: In a study by the Department of Transportation, there were a total of 95 drivers that were pulled…

A: Given information- Total no. of drivers that were pulled over for speeding = 95

Q: Three light bulbs are chosen at random from 15 bulbs, of which five are defective. What is the…

A: Given Information: To find out the probability that at least one is defective.

Q: Assume that 8 people, including the husband and wife pair, apply for 4 sales positions. People are…

A:

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

A: We have given that,  Probability (p) = 37% = 0.37 . n = 9 . And x=2 .

Q: Assume that when adults with smartphones are randomly​ selected, 47​% use them in meetings or…

A:

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

A: The binomial probability distribution is, PX=x=nxpx1-pn-x In the formula, n denotes the number of…

Q: What is the probability that the set selected contains the letter A and does not contain the letter…

A: Here An experiment consists of randomly selecting a set of 5 letters from the 26 letters in the…

Q: A school has 12 good runners of which 5 are girls. If four are chosen at random to represent the…

A: Given that a school has 12 good runners of which 5 are girls.  So (12-5)=7 are boys   We can select…

Q: Assume that when adults with smartphones are randomly​ selected, 44​% use them in meetings or…

A: Probability: Probability is a chance factor that occurs at every outcome of a random experiment.…

Q: Assume that when adults with smartphones are randomly​ selected, 48​% use them in meetings or…

A:

Q: Assume that when adults with smartphones are randomly​ selected, 62​% use them in meetings or…

A: The probability that at least 9 of them use their smartphones in meetings or classes is obtained…

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: Assume that when adults with smartphones are randomly​ selected, 64​% use them in meetings or…

A:

Q: Assume that when adults with smartphones are randomly​ selected, 59​% use them in meetings or…

A:

Q: Activity and Defense (a secret division of the FBI), 10% of people have come in contact with an…

A:

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

A:

Q: Four light bulbs are selected at random from a lot of 25, of which 6 are defective. What is the…

A: Given,   Defective bulbs = 6 Non-defective bulbs = 19   Total = 25   The objective is find the…

Q: Consider a collection of envelopes consisting of 1 red envelope,3 blue envelopes,3 green envelopes,…

A: Given that a collection of envelopes consisting of 1 red envelope,3 blue envelopes,3 green…

Q: One-sixth of the male freshmen entering a large state school are out-of-state students. If the…

A:

Q: Assume that 10 people, including the husband and wife pair, apply for 5 sales positions. People are…

A: According to the given information, There are total 10 people and 5 sales positions. For part (1) It…

Q: Assume that when adults with smartphones are randomly selected, 46% use them in meetings or classes.…

A: Given that  The smart phones are randomly selected. Adults Use them in meetings or classes = 46%…

Q: An urn has 21 balls that are identical except that 8 are white, 8 are red, and 5 are blue. What is…

A: Given that ; An urn has 21 balls.  Total balls (n) = 21 White balls (w) = 8 Red balls (R) = 8 Blue…

Q: There are 30 students in a class, 16 students can speak French,21 students can speak Spanish. What…

A: Let , F= french , S= Spanish  Given ,  Using the union property of probability we get  So, 7…

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

A: Given,n=6p=0.54q=1-p=1-0.54=0.46X=No.of adults use their smartphones in meetingsor…

Q: Assume that when adults with smartphones are randomly​ selected, 47​% use them in meetings or…

A: The binomial distribution function is: PX=x=Cxnpx1-pn-xwhere,n=number of trials,x=number of success,…

Q: Assume that when adults with smartphones are randomly​ selected, 41​% use them in meetings or…

A: Consider X be a random variable which follows binomial distribution indicates the smartphone users…

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: Assume that when adults with smartphones are randomly​ selected, 61​% use them in meetings or…

A: A binomial experiment is a discrete probability experiment. To use the binomial model,…

Q: Assume that when adults with smartphones are randomly​ selected, 57​%use them in meetings or…

A:

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,57​% use them in meetings or…

A: The probability that at least 7 of them use their smartphones in meetings or classes is obtained…

Q: Nine new employees, two of whom are married to each other, are to be assigned nine desks that are…

A: There are total 9 employees. We can arrange them in 1 row in 9!=362880 ways If the couple have…

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: Assume that when adults with smartphones are randomly​ selected, 53​% use them in meetings or…

A:

Q: Suppose that 8 cards, of which four are red, two are green and two are blue, are placed at random in…

A: We have given that 8 cards, of which 4 are Red, 2 are Green and 2 are Blue, are placed at random in…

Q: There is a television in 75% of the houses in a city. What is the probability of having a television…

A: We have to find given probability.

Q: Assume that when adults with smartphones are randomly​ selected, 39​% use them in meetings or…

A: Define the random variable x as the number of adults using smartphones in meetings or classes. Here,…

Q: Assume that there are 6 different issues of Time magazine, 7 different issues of Sports illustrated,…

A: From the provided information, There are 6 different issues of Time magazine, 7 different issues of…

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

A: Given n = 13, p = 0.52, x = 5 X be the random variable of adults using smartphones in meetings or…

Q: Consider a collection of envelopes consisting of one red envelope, three blue envelopes, two green…

A: We have given that a collection of envelopes consisting of one red envelope, three blue envelopes,…

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: Suppose that n balls are put into n numbered boxes. Assume each possible outcome is equally likely.…

A: a) The formula for combination is nCr = n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)]/r!.…

Q: In a class of 80 students, 48 are girls and, of these, 22 are going to college. Of the 32 boys in…

A: The solution of the problem is given in the next step.

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

A:

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

A:

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

A: Define the random variable x as the number of adults using smartphones in meetings or classes. Here,…

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: and 7 fed Dals, the second urn has 2 blue balls and 8 red balls, and the third urn has 5 blue balls…

A: Answer: If we draw a red from the first urn then it is sure that we will draw at least 2 balls…

Q: Assume that 2 cards are drawn without a replacemnt from a standard 52 card deck. What is the…

A: Given that 2 cards are drawn without a replacement from a standard 52 card deck.  Total number of…

Q: Assume that when adults with smartphones are randomly​ selected, 44​% use them in meetings or…

A: Probability that adult use their smartphones in meetings or classes = 0.44 Sample size, n = 9

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.