Math

ProbabilityQ&A LibrarySuppose a movie starts at 5:00 p.m. and Lindsay, a customer who is always late, arrives at the movie theater at a random time between 5:10 p.m. and 5:55 p.m. Lindsay's late arrival time, in minutes, represented by ?X, models a uniform distribution between 10 and 55 min. Determine the height of the uniform density curve. Provide your answer with precision to three decimal places. Height = Calculate the probability that Lindsay is late by 30 min or less, ?(?≤30)P(X≤30). Provide your answer with precision to three decimal places. ?(?≤30) =Start your trial now! First week only $4.99!*arrow_forward*

Question

Suppose a movie starts at 5:00 p.m. and Lindsay, a customer who is always late, arrives at the movie theater at a random time between 5:10 p.m. and 5:55 p.m. Lindsay's late arrival time, in minutes, represented by ?X, models a uniform distribution between 10 and 55 min. Determine the height of the uniform density curve. Provide your answer with precision to three decimal places.

Height =

Calculate the probability that Lindsay is late by 30 min or less, ?(?≤30)P(X≤30). Provide your answer with precision to three decimal places.

?(?≤30) =

Tagged in

Math

Probability

Find answers to questions asked by students like you.

Q: The following table shows the number of people that are either 18, 19, 20 or 21 years old, from a sa...

A: Click to see the answer

Q: Rework problem 28 from section 3.4 of your text, involving the drawing of two balls from a box of co...

A: Calculate the probability that second ball is red:

Q: 32. A jar contains 4 red marbles numbered 1 to 4 and 10 blue marbles numbered 1 to 10. Amarble is dr...

A: For any two events A and B, it is known that P(A or B) = P(A) + P(B) – P(A and B).

Q: In 2018, the Pew Internet & American Life Project asked 743 teens aged 13 to 17 several question...

A: (a) Obtain the point estimate of the proportion of teens aged 13 to 17 who say social media makes th...

Q: a) Market research has shown that 60% of persons who are introduced to a certain productactually buy...

A: Given, sample size n = 15 Probability of buying p = 60% = 0.60 q = 1-p = 0.40

Q: How do you solve this homework problem?

A: Click to see the answer

Q: A factory received a shipment of 15 capacitors, and the vendor who sold the items knows there are 8 ...

A: Given, A factory received total 15 capacitors In that there are 8 capacitors are defective

Q: At a particular college 12 percent of the students major in Business. All Business majors are requir...

A: The probability for selecting the Business major is: P(B)=0.12 The probability of selecting a static...

Q: Determine the probability of exactly one tail if two fair coins are tossed

A: The total possible outcome after tossing two fair coins = 22 = 4 The sample space is as follow: {HH,...

Q: From a large number of actuarial exam scores, a random sample of 275 scores is selected, and it is f...

A: Total number of scores = n = 275, Number of passing scores = x = 206. Here, significance level is 0....

Q: 5 cards are drawn simultaneously and at random from a standard deck of 52 playing cards. Using only ...

A: A standard deck consists of 52 cards and 4 suits (Diamonds-D, Hearts-H, Spades-S, and Clubs-C); each...

Q: The Higher Education Research Institute at UCLA collected data from 203,967 incoming first-time, ful...

A: Given: n = 7 and p = 0.718 The standard deviation of a binomial distribution is given by, σ=np(1-p)

Q: Use a calculator to solve the following problems. (a) Consider a t distribution with 7 degrees of f...

A: (a) The t degrees of freedom is 7. The value of P-1.54<t<1.54 is, P-1.54<t<1.54=Pt<1....

Q: Innocent until proven guilty? In Japanese criminal trials, about 95% of the defendants are found gui...

A: a) From the given information, The percent of defendants are found guilty in Japanese criminal tra...

Q: Iron man before meeting Thanos did an attempt to create Iron avengers (bots which look and has same ...

A: GivenThe bot has 100 arrows and the first arrow hit and second arrow miss.The total number of target...

Q: American Airlines' flights from Chicago to Atlanta are on time 90 % of the time. Suppose 9 flights a...

A: Given information- We have given a problem of binomial distribution. We have given that American Air...

Q: A study was conducted to determine whether there were significant differences between medical studen...

A: Let the R.V X denotes the number of medical students admitted through special programs and it follow...

Q: A certain type of hen lays eggs whose weights are normally distributed with a mean of 66 grams and a...

A: Click to see the answer

Q: Travis County has a population of 1.274 million. The total number of covid 19 cases in travis County...

A: Given that there are 1.274 million, total number of covid 19 cases in travis county is 26,633. Activ...

Q: Consider the following. (Give your answers correct to four decimal places.) (a) Find P(-2.14 < z ...

A: Required shaded area under the normal curve. Refer Standard normal table/Z-table OR use excel for...

Q: The full height of a certain species of tree has a normal probability distribution with a mean of 19...

A: State the random variable.

Q: 27. A math class consists of 25 students, 14 female and 11 male. Two students are selected at random...

A: Note- As per our policy we can answer only the first 3 sub-parts of a question. If you want solution...

Q: rework problem 24 from section 3.2 of your text, involving the subcommittee. For this problem, assum...

A: Given, the committee contains 7 men and 6 women and that three are selected at random for a subcommi...

Q: In the following distribution table, the probability of the random variable Y taking the values show...

A: Click to see the answer

Q: Pease show me the equition and the answer for the attachment.

A: It is given that there is 7 space for numerals or letters or one of the following four symbols. Cons...

Q: In a test of the effectiveness of garlic for lowering cholesterol, 48 subjects were treated with gar...

A: According to the provided information,

Q: A new company president is said to have caused the company "to do a 180." Before the new president, ...

A: According to the provided information, A new company president is said to have caused the company "t...

Q: Problem 2: The random variable N has PMF n = {1,2,3, ...} 3 Px(n) 0, otherwise. (a) What is the valu...

A: The random variable has PMF, PN(n)=c23n ,n={1,2,3,...}0 ,otherwise. a. We know that, the s...

Q: A jar contains 6 pennies, 5 nickels and 4 dimes. A child selects 2 coins at random without replaceme...

A: Click to see the answer

Q: Work this problem involving rental cars with navigation systems. Assume that the car lot contains 55...

A: Click to see the answer

Q: The College Board reports that 2% of the 2 million highschool students who take the SAT each year re...

A: Let X be the number of students in the sample needing accommodations Hence, X~Bin(25,0.02) The binom...

Q: A factory received a shipment of 15 capacitors, and the vendor who sold the items knows there are 8 ...

A: b) He can choose any 6 capacitors from 15 capacitors in 15C6=5005 ways He can choose 4 defective ...

Q: An oil exploration company currently has two activeprojects, one in Asia and the other in Europe. Le...

A:

Q: The probability that you will win a game is 0.690.69.a) If you play the game 165 times, what is the ...

A: Click to see the answer

Q: If you choose an anser to this question at random, what is the chance you will be correct? Also note...

A: As there are four options here, The probability of selecting a correct option is 1/4 = 25%

Q: What is Redundant constraint?

A: Redundant constraint: A set of linear constraints is used to generate a feasible area but doesn’t af...

Q: Arnold Palmer Hospital is studying the number of emergency surgery kits that it uses on weekends. Ov...

A: Let's tabulate the data first and find the relative frequency and cumulative relative frequency.

Q: A robot is stuck in a circle. The circle had numbers from 0 to n-1 arranged on it. The robot starts ...

A: Given, A robot is stuck in a circle. The circle had numbers from 0 to n-1 arranged on it. The robot ...

Q: A wall is 500 sq. feet. A gallon of paint covers 160 sq. feet. What is an appropriate conversion fac...

A: From the provided information, A gallon covers 160 sq. feet. So, 1 sq. feet = 1/160 gallon

Q: Kevin is creating lollipop bouquets using 15 cherry lollipops and 18 orange lollipops. He wants eah ...

A: Kevin has 15 cherry lollipops and 18 orange lollipops.

Q: Use the Venn diagram and the given probabilities to find: (a) P(A) = (b) P(AN B) = (c) P(An B) = !! ...

A: From provided information, P (1) = 0.05, P (2) = 0.05, P (3) = 0.05, P (7) = 0.05; P (4) = 0.1...

Q: Rework problem 7 from section 4.1 of your text involving the computation of probabilities for a Bern...

A: Let us consider X denote the no. of success. So, X~bin(n=12,p=2/10) We have, P(X=x) = ncx*px*(1-p)n-...

Q: A dataset of 23 values on a variable has a mean of 10.8 and a standard deviation of 3.2. The third d...

A: Click to see the answer

Q: One rule of thumb in the fast-food restaurant business is a "4 times markup": The price of a food it...

A: According to given condition, the price of a food item should be four times the price of the ingredi...

Q: I believe I did these problems right but I just need someone to check with.

A: Own a dog Do not own a dog Total Own a cat 25 16 41 Do not own a cat 17 9 26 Total 42 2...

Q: Assume that the business makes a profit with probability 0.4 in the first year. For each year therea...

A: According to the given information: Probability that the business makes a profit in first year=0.4 P...

Q: A certain shop repairs both audio and video components.Let A denote the event that the next componen...

A: Given that, A certain shop repairs both audio and video components. Let A denote the event that the ...