Suppose that elementary students' ages are uniformly distributed from 5 to 13 years old. The unshaded rectangle below with area 1 depicts this. The shaded rectangle depicts the probability that a randomly selected elementary student will be between ages 7.96 and 9.68 years old. Round all answers to 4 decimal places (if possible). 7.96 9.68 4 7 10 11 12 13 14 The base of the shaded rectangle is The height of the rectangle is The area of the shaded rectangle is

Q: Suppose a fair die is rolled 19 times. (a) What is the probability p that a 2 will occur any given…

A: We have to find given probability.

Q: A popular soft drink is sold in 1-liter (1,000-milliliter) bottles. Because of variation in the…

A: Consider X be the random variable representing amount of soft drink is filled    X follow normal…

Q: he mean height of women in a country​ (ages 20−​29) is 64.4 inches. A random sample of 70…

A:

Q: A company makes auto batteries. They claim that 81% of their LL70 batteries are good for 70 months…

A: It is given that n =90 and p =0.81.

Q: The mean height of women in a country​ (ages 20-29) is 63.9 inches. A randon sample of 70 women in…

A: Given μ= 63.9 Sample size=n=70 σ=2.87

Q: 3. The time between arrivals of customers at the drive-up window of a bank follows an exponential…

A: GivenMean =10θ=110A random  variable x~Eponential(θ=110)P(X=x)=110e-x10     ; x≥0The cumulative…

Q: Single Americans In a recent year, about 22% of Americans 16 years and older are single. What is the…

A: Given that 22% of Americans 16 years and older are single.  n=sample size=225 p=probability of…

Q: The mean height of women in a country (ages 20 - 29) is 64.1 inches. A random sample of 55 women in…

A:

Q: The amount of weight gained by adults in the winter months is uniformly distributed between 0 and 35…

A: According to our guidelines we can answer only first question and rest can be reposted.

Q: Write the binomial probability and the normal probability for the AP(x) shaded region of the graph.…

A:

Q: The length of life, in hours, of a drill bit in a mechanical operation has a Weibull distribution…

A: The Weibull distribution has the P.D.F given by: fx=βαxαβ-1e-xαβ,x≥0 Substitute the values of α=4…

Q: b. What is the probability that annual dental expenses are between $1,500 and $2,000? (Round z-score…

A:

Q: The amount of coffee that people drink per day is normally distributed with a mean of 16 ounces and…

A: Note: " Since you have posted many sub-parts. we will solve the first three sub-parts for you. To…

Q: c. What is the probability that one randomly selected person learned to walk when the person was…

A: Given Mean μ=13, Population standard deviations σ=2.4

Q: 2. What is the probability of rolling two die and getting a sum of 3? P = + 3) 1/18 %3D 3. What is…

A: Q2) Total number of outcomes = 36 Total number of the outcome of having getting a sum of 3 = 2 The…

Q: The accompanying table shows the results of a survey in which 250 male and 250 female workers ages…

A: The table shows the result of a survey. Total number of participants = 500

Q: Suppose instead you take a sample of 800 consumers. What is the probability that between 23% and 29%…

A:

Q: (c) Determine the probability that a randomly selected multiple birth for women 15-54 years old…

A:

Q: A Snapshot in USA Today indicates that 51% of Americans say the average person is not very…

A: The binomial distribution can be approximated by normal distribution if the expected number of…

Q: E) Determine the probability that a random sample of 40 adults results in a mean time watching…

A: Given Sampe mean =35 Mean =2.35

Q: A company makes auto batteries. They claim that 87% of their LL70 batteries are good for 70 months…

A: The provided information is: Population proportion (or true proportion) p=0.87 Sample size(n)=60

Q: (c) What is the probability a simple random sample of 60 ten-gram portions of the food item results…

A: (c)  P(x_ ≥ 5.3) = 0.1496

Q: At a large university it is known that 30% of the students eat at dinning halls on campus. The…

A: Given : n = 300,  P = 0.3

Q: Give the distribution of X. (Enter exact numbers as integers, fractions, or decimals.) x- B O O Part…

A: Given: Percentage of colleges (p) = 96% = 0.96 Number of selected colleges (n) = 23.

Q: Suppose that a particular candidate for public office is in fact favored by 47% of all registered…

A: Given that  p = 47% = 0.47 , q = 1 - p = 1 - 0.47 = 0.53 , n = 300 Find P( p^ > 0.5 )

Q: Assume that police estimate that 73% of drivers now wear their seatbelts. They set up a safety…

A:

Q: It has been estimated that only about 32% of residents in Ventura County have adequate earthquake…

A: Binomial distribution: A discrete r.v. X taking values 0,1,2,3, …., n is said to follow a binomial…

Q: According to a study done by Nick Wilson of Otago University Wellington, the probability a randomly…

A: It is given that n=16 and p=0.267.

Q: Single Americans In a recent year, about 22% of Americans 17 years and older are single. What is the…

A: # x be the nonof Americans 17 year and older are single follow binomial distribution (n=220, p=0.22)…

Q: (a) The drug is administered to one patient selected at random. Wwhat is the probability that the…

A: (a) Let X be the time lapse between administration of the drug and beginning effects of the drug…

Q: The amount of weight gained by adults in the winter months is uniformly distributed between 0 and 35…

A: The length of the rectangle is= 35-0=35The area of the rectangle=1So the height = arealength=135

Q: The amount of coffee that people drink per day is normally distributed with a mean of 15 ounces and…

A: Note: If the question contains multiple  parts only allow to do first four subparts as per the…

Q: Suppose a fair die is rolled 20 times. (a) What is the probability p that a 4 will occur any given…

A:

Q: A statistics professor plans classes so carefully that the lengths of her classes are uniformly…

A:

Q: A survey of all medium- and large-sized corporations showed that 60% of them offer retirement plans…

A: Obtain the probability that the sample proportion will be between 0.49 and 0.58.   The probability…

Q: Find the probability that the mean weight of a sample of 25 bookbags will exceed 7 pounds.

A: Here use central limit theorem and standard normal distribution table for probability from z score

Q: Suppose a fair die is rolled 15 times. (a) What is the probability p that a 3 will occur any given…

A:

Q: A particular game is played with balls thrown against a wall as shown below. The balls need to land…

A: First, we have to find the area of both green and grey rectangles. We know that area of a rectangle…

Q: Suppose that the test score of a student taking the final of a probability course is a random…

A: Given :  Suppose that the test score of a student taking the final of a probability course is a…

Q: In a family with 2 children, the probability that all the children are girls is approximately 0.25.…

A: Givenp=0.25sample size(n)=1000x~Binomial(n=1000,p=0.25)P(X=x)=(nx)×px×(1-p)n-x   ; x=0,1,...,n

Q: Suppose a fair die is rolled 18 times. (a) What is the probability p that a 2 will occur any given…

A: Given, Fair die is rolled 18 times. Each trail is independent. And probability of getting 2 is 1/6…

Q: Using the Binomial distribution, If n=9 and p=0.2, find P(X=5). Round your answer to 4 decimals.…

A:

Q: Based on historical data, your manager believes that 27% of the company's orders come from first-…

A:

Q: The amount of weight gained by adults in the winter months is uniformly distributed between 0 and 35…

A: Uniform distribution : If X follows Uniform distribution over interval [ a , b ] then probability…

Q: The time between arrivals of vehicles at a particular intersection follows an exponential…

A: Suppose, X be the time between arrivals of vehicles at a particular intersection. Given that, X…

Q: A psychologist developed a standardized test for selecting “gifted” children. In the population,…

A: Given that: X is normally Distributed with mean µ = 75.0 and standard deviation σ = 10.0 By using…

Q: (d) What is the probability that a random sample of 40 pregnancies has a mean gestation period of…

A:

Q: A company makes auto batteries. They claim that 86% of their LL70 batteries are good for 70 months…

A: Given- p=0.86n=90p^~ Bin(90,0.86)

Q: In a recent year (365 days), a hospital had 5642 births. a. Find the mean number of births per day.…

A:

Q: Today, the waves are crashing onto the beach every 4.7 seconds. The times from when a person arrives…

A: Solution

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.