A line segment of length l is divided by a point selected at random within the segment. What is the prob-ability that it will divide the line segment in a ratio greater than 1:2? What is the probability that it will divide thesegment exactly in half?

Q: A die is thrown twice. What is the probability that the sum of the number of dots shown is 3 or 11?

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Q: What is the probability the competitor takes more than 12 minutes to finish the course? Give your…

A: here given, time taken for complete the uniform obstacle course in the statistics games is uniformly…

Q: A regular hexagonal shaped target with sides of length 14 cm has a circular bull’s  eye with a…

A: NOTE-By bartleby rules, only first question has been answered. As per given by the question, A…

Q: A bar of length l is broken into three pieces at two random spots. What is the probability that the…

A:

Q: In the manufacturing of a commercial carpet, small faults occur at random in the carpet at an…

A: Given : Small faults occur at random at an average of , λ20 = 0.8 Let X denotes the number of small…

Q: It's estimated that only abe probability that only 10 pe

A: Introduction: The formula for the binomial distribution formula: P(x)=nxpxq(n-x)

Q: For the experiment of rolling a single fair​ die, find the probability of obtaining not less than 4.…

A: When a die is rolled the outcomes are S={1,2,3,4,5,6} n(S)=6 find the probability of obtaining not…

Q: Q2) A straight segment ( ial) of length one unit is randomly divided into three parts ,what is the…

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Q: Divide a line segment into two parts by selecting a point at random. Use your intuition to assign a…

A: Given: Line segment divided into two parts by selecting a point at random. The longer is segment is…

Q: A machine can produce copper wires of length between 8 cm to 10 cm. What is the probability that the…

A: wire length  between,    8cm  to 10cm. ∴X~∪8,10      fx=110-8=12

Q: A single die is rolled three times. What is the probability that a 1 will show on the upward face at…

A: A single die is rolled 3 times Total Sample Space = 63 = 216 Probability of not showing 1 = 56…

Q: Based on the first table, enter the value of b, the expected number of widowed women who live in the…

A: Given:       Widowed Divorced Separated No longer in a visiting relationship Total Location…

Q: What is the probability that a randomly selected American adult has never been tested? Show work.…

A: From the given information, N(NT)=134,767 and N(T)=77,789.

Q: What is the probability of zero motor accident during any 2- mile interval along Buntun highway?

A: Here Given  36 accidents in 20 miles

Q: Consider a circle with random radius R ∼ Uniform(0,5). What is the probability that the area of the…

A: The probability that the area of the circle is greater than the circumference is given as: Area of…

Q: A target is constructed of a 10 ft diameter circular piece of plywood, on which a 2 ft diameter…

A:

Q: A die is rolled five times and the number of fours that come up is tallied. find the probability of…

A: Let X= number of times four comes This is a binomial distribution because it has two outcomes…

Q: Suppose the commuting time from North Bay to Barrie varies uniformly from 135 min to 180 min. What…

A: GivenA random variable x~Uniform(135,180)f(x)=1180-135f(x)=145     ; 135≤x≤180and cumulative…

Q: The mean number of technical failure in ABC Solutions is 10 per batch. Find the probability that in…

A:

Q: Suppose the time it takes for Sandy to run one kilometer is uniformly distributed from 360 seconds…

A: Let X be the time it takes for Sandy to run one kilometer is uniformly distributed from 360 seconds…

Q: od for finding probability to determine the probability of : rolling a single dice and getting a…

A: The sample space for rolling a die is shown below: {1, 2, 3, 4, 5, 6} There are 6 possible outcomes…

Q: A line segment of length 1 is cut once at random. What is the probability that the longer piece is…

A: It is given that a line segment of length 1 is cut at random. The process fits a uniform random…

Q: Suppose the commuting time from north bay to Barrie varies uniformly from 135 min to 180min what is…

A:

Q: A die is rolled 20 times and the number of twos that come up is tallied. Find the probability of…

A: Given problem is : A die is rolled 20 times and the number of twos that come up is tallied. Find…

Q: What is the probability that the diameter of a dot is less 0.0026 inch? What is the probability that…

A: Here use normal distribution table for probability from calculated z score

Q: A regular hexagonal shaped target with sides of length 14 cm has a circular bull’s eye with a…

A: Probability = number of outcomes/ total outcomes

Q: nd the probability that the average length of a randomly selected bundle of steel rods is less than…

A: Given, μ=112.8σ=1.2 n=25

Q: There are 5 E's among the 12 tiles in Scrabble. What is the probability of selecting all 3 E's when…

A: using definition of probability.

Q: The mean number of customers arriving at a bank during a 15-minute period is 10. Find the…

A: Suppose random variable X defines the number of customers arriving at a bank during a 15-minute…

Q: Find the probability that the average length of a randomly selected bundle of steel rods is less…

A: Let X denote the lengths of steel rods. Given that X follows N(mean = 163.4, SD = 1.1)

Q: In the manufacturing of a commercial carpet, small faults occur at random in the carpet at an…

A: Given: λ=0.8 per 20m2 We have selected 100m2. Thus the value of λ will be as follows: λ=0.8*5  =4…

Q: A die is rolled 20 times and the number of twos that come up is tallied. Find the probability of…

A: Given that, A die is rolled 20 times and the number of twos that come up is tallied.

Q: If a parachutist lands at a random point on a line between markers A and B, find the probability…

A: Let the distance from the point A to B be L unit. The, let the variable X denote     X = distance…

Q: A circle with 2-m radius is inscribed in a square. Find the probability that a dart that hits the…

A:

Q: An emergency center receives an average of 4 emergency calls in 10 minute intervals. How much the…

A:

Q: A cloth manufacturer knows that faults occur randomly in the production process at a rate of 3.8…

A:

Q: A horizontal plane is ruled with parallel lines 2 inches apart. If a 2-inch needle is tossed…

A: Given

Q: Find the probability that a point chosen randomly inside the figure, is in the shaded region. 4. 8

A: Given that:

Q: of 20%, what is the probability that the cost will be within the estimate?

A: here given  mean =  3  coefficient of variation  =  0.20

Q: The width of a widget is evenly distributed between 5 cm and 15 cm . If the width of widget is less…

A:

Q: Find the probability. A 6-sided die is rolled. What is the probability of rolling a number greater…

A:

Q: Suppose that a point is randomly chosen from a segment with a length of 12 units. What is the…

A: Given a point is randomly chosen from a segment with a length of 12 units. We should find the…

Q: Find the probability rat a sevected braking Cndamly SeIECted brakeing distance is less than 49…

A: Let X be a random variable that represents a braking distance which follows normal distribution with…

Q: Suppose the times required for a cable company to fix cable problems in its customers' homes are…

A: It is given that a is 14 and b is 20.

Q: A spinner that has 15 equal-sized sections numbered 1 to 15 is spun twice. What is the probability…

A: We have given that  A spinner that has 15equal sized numbered 1 to 15 .

Q: pccur? probability that less than three network errors will occur is. und to four decimal places as…

A:

Q: A standard six-sided die is rolled. What is the probability of rolling a number equal to 5?

A: Probability:   The ratio of the number of favorable outcomes to certain event and total number of…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.