Question

Of 100 employees of a store located in downtown Boston, 36 people take the subway to work, 24 take the bus, and 14 people take both the subway and the bus. How many employees

(a) Take the subway or the bus to work?


(b) Take only the bus to work?


(c) Take either the bus or the subway to work (but not both)?

(d) Get to work by some other means?

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Probability

Other

Related Probability Q&A

Find answers to questions asked by students like you.

Q: For the following population, answer the following:Remember you can copy and "paste special" the tab...

A: Given population size is 12.

Q: Rework problem 1 of section 4.3 of your textbook, but assume that the probability density function f...

A: Given : probability density function for the random variable X Value of X Probability 1 0.1 5...

Q: The Final exam average for an Biology class is normally distributed with a mean of 58% and a standar...

A: From the provided information, Population size (N) = 2051 students Mean (µ) = 58% Standard deviation...

Q: A die is rolled 1200 times. Let X be the number of sixes rolled. Estimate P (190 <X<220).

A: From the provided information, A die is rolled 1200 times that is (n) = 1200 The probability of roll...

Q: Show how you solved the problems first with un-simplified fractions then convert to decimals roundin...

A: Solution to a) P(First candy is blue and second is yellow)=P(First candy is blue)×P(Second candy is ...

Q: A machine dispenses juice into bottles and the fill levels are normally distributed with a mean of 1...

A: Click to see the answer

Q: A machine produces 1000 steel O-rings per day. Each ring has probability 0.9 of meeting athickness s...

A: a. The random variable x is defined as the number of rings meeting specification which follows binom...

Q: This problem will take you through calculating the mean for grouped data by hand.The reason that the...

A: Part A: Lower Class Limit Upper Class Limit Frequency Class midpoint Frequency times midpoint 6...

Q: The number of customers arriving per hour at a certain automobile service facility is assumed tofoll...

A: Let random variable X represents the number of mice to be inoculated to get mice contacting the dise...

Q: A particular test has a 72% pass rate. A teacher decides to grade tests until 15 people have passed ...

A: The binomial distribution function is: PX=x=Cxnpx1-pn-xwhere,p=probability of success,x=number of su...

Q: A horse race has 12 horses. i ) How many dierent ways can the podium be arranged? (The podium has a ...

A: (i). Find the number of different ways in which the podium can be arranged: Total number of horses i...

Q: the computation of probabilities for Bernoulli trials. Use the following values instead of those fou...

A: (1) 2 successes in 5 trials with p = 0.7 Given that n=5, r=2, p=0.7  Using the binomial distribution...

Q: Suppose you are allowed to flip a coin until the first head appears. Let X be the total number of fl...

A: 1.

Q: Probability Question

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...

Q: At a fair a vendor has 25 helium balloons on strings: 10 balloons are yellow, 8 are red, and 7 are g...

A: Given: There are total 25 helium balloons: 10 balloons are yellow, 8 are red, and 7 are green.  

Q: Date Block 1Non Calculator (must show work for all calculations) 1. Given U={1, 2, 3, 4, 5, 6, 7, 8,...

A: It is given that the  U={1,2,3,4,5,6,7,8,9}  A={2,4,6,8} and B={1,2,3,4} The required Union and inte...

Q: Probability Question

A: Given: The store manager assures that 17 of the 65 boxes on the shelf have the secret decoder ring. ...

Q: Rework problem 25 from section 4.3 of your text, involving a true/false and multiple choice test. As...

A: The test has 4 true/false question. The probability of success for one true/false question is 12. Th...

Q: How many 9 letters words can be form using the letters of the word “Wisconsin”? Does the order matte...

A: Click to see the answer

Q: A bus arrives every 10 minutes at a bus stop. It is assumed that the waiting time for a particularin...

A: From the provided information, Let X be a random variable which follows uniform distribution. The pr...

Q: The average number of calls received by a switchboard in a 30-minute period is 18.What is the probab...

A: It is given that the average number of call received by a switchboard in a 30 minutes periods is 18....

Q: 4. Suppose is a discrete rv with E(9X + 2) = 20 and E(X²) = 13. (a) Find E (X) (b) Find V (X)

A: a) We will use the formula E(aX+b)=aE(X)+b E(9X+2)=20E(9X)+E(2)=209E(X)+2=209E(X)=18E(X)=2   Answer:...

Q: Giving a test to a group of students, the grades and gender are summarized below Grades and Gender А...

A: The given data is,   Grade   Gender A B C Total Male 13 19 16 48 Fem...

Q: In a simple random sample of 144 households in a county in Virginia, the average number of children ...

A: Click to see the answer

Q: There are five numbers in a data set. They are 3, 1, 16, 20 and x, where x is one of the largest two...

A: The value of x is one of the largest two number of the five. that is, the x value must be greater th...

Q: If a sample has a mean of 100 and a standard deviation of 6, what is the value in the data set that ...

A: Click to see the answer

Q: decimal places. Grades and Gender A B C Total Male 13 17 6 36 Female 19 9. 33 Total 32 22 15 69 If o...

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for yo...

Q: Given a standard deck of 52 cards, assume that one card is drawn from the deck, find the following p...

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

Q: Let X indicates the number of defective engine in a random sample of 25 engines. Probability of gett...

A: (a) Obtain the expected value of X.   The expected value of X is obtained below:   Let X denotes the...

Q: How to solve this question?

A: Hey, since there are multiple subparts posted, we will answer first three subparts. If you want any ...

Q: How to solve these questions?

A: Click to see the answer

Q: A house is on an 80,000 sq. ft lot. About how many acres is the lot? There are 43,560 square feet in...

A: Given that : 1 acre= 43,560 square feetSo, 143,560 acre= 1 square feet  

Q: Giving a test to a group of students, the grades and gender are summarized below Grades vs. Gender B...

A: From the provided information, Total students = 20 + 4 + 19 + 5 + 16 + 2 = 66 Total female = 5 + 16 ...

Q: In a bag there are 3 red balls, 2 blue balls, and 4 yellow balls. The experiment consist of drawing ...

A: (a). Check whether the order of selection matters or not: The number of red balls is n(R) = 3. The n...

Q: Stan Musial retired from baseball with a lifetime batting average of 0.331. On the average, how many...

A: Given data: *The life batting average of Stan Musial is Average=0.331 *The number of game for the pe...

Q: Find the probability that a mole of perfume molecules expand from their open 100 ml diffuser into an...

A: Given, Volume of molecule initially = 100 ml Volume of molecule after expansion = 1L = 1000 ml Numbe...

Q: Show how you solved the problems first with un-simplified fractions then convert to decimals roundin...

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for yo...

Q: You and your friend are debating which type of candy is the best. You find data on the average ratin...

A: The hypothesis to be tested here is- H0: µ1=µ2=µ3 H1: Means are not all equal. Given, n=30 SSB=16.18...

Q: Let joint Probability distribution function of random variables X and Y be (1/3 if (x, y) = (1, 1) |...

A: The joint probability distribution function for X and Y is, P(x,y)=13, if(x,y)=(1,1)13, if (x,y)=(2,...

Q: Probability Question

A: Note: Hey, since there are multiple questions posted, we will answer first question. If you want any...

Q: Box I contains 4 red and 8 blue marbles while box II contains 5 red and 3 blue marbles. An unfair co...

A: Given: Number of red marbles in box 1 and box 2 are 4 and 5 respectively. Number of blue marbles in ...

Q: Rework problem 4 from section 4.3 of your text, involving the expected value of a given probability ...

A: Click to see the answer

Q: Below are the last five lines of Shelley's poem, Ozymandias: "My name is Ozymandias, king of kings: ...

A: Given: As per the five lines,  Words (X) Frequency 2 7 3 6 4 7 5 6 6 3 7 4 8 1 9 ...

Q: Some college graduates employed full-time work more than 40 hours per week, and some work fewer than...

A: Given information- Population mean, μ = 40 hours Sample mean, x-bar = 36 hours Standard deviation, s...