Candy sticks. A student has 23 candy sticks in a bag, with lengths that are Normally distributed. Each stick is, on average 1.8 cm long, with standard deviation 0.5 cm. What is the probability that the total length of the candy is less than 40 cm?

Q: A group of people tried joining a gym to see if it would help them to lose weight. This table shows ...

A: In this case Weeks (x) is the independent variable and Pounds Lost (y) is the dependent variable.

Q: In a new version of the Bachelorette, Zoe meets 25 hopeful gentlemen. After an initial meeting with ...

A: There are 10 chances to pick up the men as the number of doors are 10. Therefore n=10. let the numbe...

Q: The tar content in samples of cigar tobacco follows: 1.499 1.542 1.585 1.532 1.466 1.611 1.622 1.466...

A: Step-by-step procedure to obtain the mean and the standard deviation using Excel is given below: In...

Q: A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of...

A: Where,

Q: There are 12 students running for three student council positions: president, vice president, and se...

A: There are total 12 students. And 3 different positions.  Since the positions are different, so the a...

Q: A group of scientists studied the adhesion of various biofilms to solid surfaces for possible use in...

A: The width is given to be 0.55.    At 98% confidence level, the value of z is 2.326.It is known that ...

Q: A survey of online shoppers showed that 2% of shoppers visited toolsRus.com during a one month perio...

A: Note: Hi there! Thank you for posting the question. As your question has more than 3 parts, we have ...

Q: Problem 3: Let X be a random variable with CDF 0, 0.2(r+ 1)², -1<1< 0, 0.5(r + 1), 0<1< 1, I<-1, Fx(...

A: Since you have posted a question with multiple subparts, we will answer first 3 sub parts for you. I...

Q: 4. Consider a bag containing four red marbles, two green ones, one transparent one, three yellow one...

A: Given that there are 4 red marbles, 2 green,1 transparent, 3 yellow, and 2 orange marbles. So there ...

Q: Two crossing, non-parallel lines in a graph pertaining to separate factors (i.e., A &amp; B) in a tw...

A: The interaction effect means that the effect of one factor depends on the other factor is indicated ...

Q: In the Numbers Game, a state lottery, four numbers are drawn with replacement from an urn containing...

A: Given data:   The total numbers of digits are n=10.   The expression for the probability that a tick...

Q: The thermal conductivity  (R-Value) of   23 samples of newly developed inulating material follows:  ...

A: Let X be the thermal conductivity. From the given information, the confidence level is 0.95 and n=23...

Q: Suppose there are two boxes, A and B with the following contents: Box A has three red balls and twow...

A: Number of red balls in Box A is 3. Number of white balls in Box A is 2. Number of red balls in Box B...

Q: If a researcher reports a t-statistic with df = 18, how many individual subjects participated in the...

A: Given: Df = 18

Q: Jim put a fence around a rectangular area. A scale drawing of the area has a length of 3.5 inches an...

A: Given that 1 inch = 5 feetSo, length=3.5 inches=3.5×5=17.5 feetWidth=2.5 inches=2.5×5=12.5 feet  

Q: Suppose that a particular type of cancer affects 1% of the population. There is a test for this canc...

A: Let C be the event that the person has cancer and P denote the event that the test gives a positive ...

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

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

Q: In a recent survey, 70% of the community favored building a health center in their neighborhood. If ...

A: Let "X" be the community favored by building a health center in their neighborhood.

Q: The game of craps is played as follows: a player rolls two dice. If the sum is 2, 3, or 12, the play...

A: If Ei is the event that the initial outcome is i and the player wins, then the probability of winnin...

Q: You want to obtain a sample to estimate a percentage of Statistics students at ACM that get a grade ...

A: As per our honor code, we will provide the answer for first three parts only. Given information: Con...

Q: solve without using excel and write down all calculations and formular used.

A: Given data:   The given demand for September is DS=56. The given demand for October is DO=52. The gi...

Q: A student is told to work any 8 out of 15 questions on an exam. In how   many different ways can he ...

A: He will pick a group of questions. The arrangement will not matter, so we will use the combination m...

Q: An experiment consists of randomly selecting one of three coins, tossing it, and observing the outco...

A: Let E1, E2, and E3 are the respective events of choosing a two headed coin, a biased coin, and an un...

Q: Probability Question

A: According to the empirical rule of normal distribution, 68% of a data that is normally distributed w...

Q: If the ratio of difficult math problems to easy math problems in a book is 4 to 3, how many easy pro...

A: Let the number of difficult problem be x and easy problem be y From question it is given that , xy=4...

Q: Let X denote the random variable that gives the sum of the faces that fall uppermost when two fair d...

A: In general, there are 36 possible outcomes when rolled a pair of balanced dice.

Q: The victims of a certain disease being treated at Wake Medical Center are classified annually as fol...

A:   curd Remission sick dead cured 1 0 0 0 remission 0.18 0.6 0.17 0.05 sick 0.05 0.4 0.35 0.2

Q: A population of values has a normal distribution with μ=73.1μ=73.1 and σ=28.1σ=28.1. You intend to d...

A: Let us denote X= population values Given that X follows a normal distribution with mean=μ=73.1 and s...

Q: The random variable X is normally distributed with a mean of 80 and a standard deviation of 10, P(85...

A: X is normally distributed with mean 80 and standard deviation 10, The P85≤X≤90 is obtained as below ...

Q: 2. Use a Venn diagram to illustrate the following identity: (A U B) UC = A U (B U C).

A: Given: (A U B) U C = A U (B U C) Associative Laws: For any three finite sets A, B and C; (A U B) U C...

Q: There are 8 acts in a talent show.   An acrobat, a comedian, a dancer, a juggler, a magician, a pian...

A: The given data is: Number of acts =8 A= Event of selecting the juggler as first , the acrobat as sec...

Q: Let A, B and C be three independent events such that P(A)=P(B)=0.3 and P(C)=0.5. Find the probabilit...

A: It is given that the, P(A) = P(B) = 0.3 and  P(C) =0.5 and since these 3 events are independent.   

Q: One hundred people were asked, "Do you prefer remote classes?". Of the 63 that answered "yes" to the...

A: It is an important part in statistics . It forms the basics of probability .   Male Female Total ...

Q: If P(A)=1/5 P(B)=2/5, A and B are independent find P(AorB) 11

A: Given that A and B are independent.  This means: P(A and B)=P(A)×P(B)=15×25=225

Q: A group of people were asked if life exists elsewhere in the galaxy. 336 responded "Yes", and 400 re...

A: The number of people believe in existence of life elsewhere in the galaxy is 336. The number of peop...

Q: Suppose we have two independent events A and B. From the past experience, the rate of occurrence Eve...

A: Given; P(A)=0.25 P(Ac∩Bc)=12×P(A∩B)P[(A∪B)c]=12×P(A∩B)1-P(A∪B)=12×P(A∩B)1-P(A)-P(B)+P(A∩B)=12×P(A∩B)...

Q: The salaries at a corporation are normally distributed with an average salary of $19000 and standard...

A: 5.1 The random variable X is defined as the salaries at a corporation which follows normal distribut...

Q: The table shows the result of a restaurant survey. Meals Service good Service poor Total Lunch 31 39...

A: The given table shows the result of restaurant survey  From the table, The probability that the mea...

Q: Alonzo is in charge of planning a reception for 3600 people. He is trying to decide which snacks to ...

A: Given data:   The total numbers of people planning for the reception are T=3600. The numbers of peop...

Q: Scores for men on the verbal portion of the SAT-I test are normally distributed with a mean of 509 a...

A: Let "X" be the scores for men on the verbal portion of the SAT-I test. Draw the normal curve and...

Q: Assume that each of the n trials is independent and that p is the probability of success on a given ...

A: It is an application of binomial distribution . It is highly useful in statistics .

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.