The average yearly consumption of water per person in Lebanon is 150 liters with a standard deviation a. Suppose that the yearly consumption of water follow a normal distribution. Find a if the probability that the Lebanese people need more than 200 liters per year is equal to 0.2843. O 64.9 O 108.1 87.72 O None of these

Q: e. Find the standard deviation of the random variable X.

A: A random Sample of 200 residents; n=200 p=0.254

Q: Given a normal population distribution of adult weights, with a mean of 150, and a standard…

A:

Q: Assume that ? is a random variable has a gamma distribution with (alpha) = 3 and (beta) = 10. A)…

A: Here alpha = 3 , beta = 10 Mean = 3×10 = 30 Standard deviation = 10 √3 = 17.32

Q: Given a distribution that has a mean of 37 and a standard deviation of 12, calculate the probability…

A: Solution: From the given information, µ=37, σ=12 and n=64.

Q: The owner of a local movie theater keeps track of the number of tickets sold in each purchase and…

A:

Q: Determine the standard deviation of the probability distribution: 1 3 P(x) 0.48 0.27 0.19 06 Round…

A: Given,   What is standard deviation?

Q: Find the standard deviation for the binomial distribution which has the stated values of n and p.…

A: Given that n=1622; p=0.57 The standard deviation formula of a binomial distribution is:

Q: A) has a mean öI 100 and a standar deviation of 10. What is the probability that X will be smaller…

A: We have given that.   X~N( μ , ?^2 )   μ =100 , ? =10   Z-score =( x - μ )/?

Q: Given a random variable X follows a Normal distribution with mean 10 and standard deviation 5, what…

A: Given that, Mean = 10 Standard deviation = 5

Q: Find the following probabilities for test scores X, for which the mean is 400 and the standard…

A: It is given that X follows N(mean = 400, SD = 90), then Z = (X - mean)/SD follows N(0,1) Note :…

Q: Based on historical daily stock prices for the first year after an IPO, the typical rate of return…

A: Note: Hi! Thank you for the question. As you have posted multiple sub-parts, according to our…

Q: The lengths of human pregnancies are normally distributed with a mean of 268 days and a standard…

A: Solution: Let X be the length of human pregnancy. From the given information, X follows normal…

Q: Given that X is a normally distributed random variable with mean of 50 and standard deviation of 2,…

A: According to the given information, we have Mean = 50 and Standard deviation = 2

Q: Provide an appropriate response. Round to the nearest hundredth. Find the standard deviation for…

A:

Q: Assume that the time used by a baker preparing a birthday cake follows a normal distribution with a…

A: Assume that the time used by a baker preparing a birthday cake follows a normal distribution with a…

Q: A cab company has computed its mean fare to be $34.00, with a standard deviation of $5.10. Suppose…

A: GivenMean(μ)=34.00standard deviation(σ)=5.10Empirical rule is also known as 65-95-99.7 rule68%…

Q: Find the mean of the following discrete probability distribution. And its what is the value of…

A: Reviewing the information Given,

Q: A test has a mean score of 150 and a standard deviation of 12. Scores are normally distributed. What…

A: Let X denote the test score and follows normal distribution with mean of μ=150 and standard…

Q: As determined from long experience, the number of automobiles rented per hour X, at the Rent a Car…

A: a. Define the probability distribution p(x) for random variable x. The probability distribution p(x)…

Q: A random variable X follows a Normal distribution with meanu = 38.9 and standard deviation o = 3.1.…

A: GivenMean(μ)=38.9standard deviation(σ)=3.1

Q: The owner of a fish market has an assistant who has determined that the weights of catfish are…

A: We have to find out given probability..

Q: Find the indicated probability. IQ scores are known to be normally distributed with a mean of 100…

A: Given, Mean = 100 Standard deviation = 15   The objective is to find the probability that a randomly…

Q: The number of dogs per household in a neighborhood is given in the probability distribution. Find…

A: The table shows the number of dogs per household in a neighborhood.

Q: Suppose you have the following discrete probability distribution. What is the mean of XP What is the…

A:

Q: In a certain state, the daily amounts of industrial waste are normally distributed with a mean of…

A: Let us denote X=the daily amounts of industrial wasteGiven that X is normally distributed with…

Q: A salaries at the corporation are normally distributed with an average salary of $25,000 and a…

A: Given that  The salaries at the corporation is normally distributed. Average salary (μ) =$25,000…

Q: In a certain normal distribution, find the standard deviation o when u = 50 and 10.56% of the area…

A:

Q: . A commuter must pass through 4 different traffic lights on her way to work and will have to stop…

A: The table shows the probability model for the number of red lights hit by commuter.

Q: Let ?̅ be the mean of a random sample of size 65 drawn from a population with a mean of 75 and a…

A: Solution-: Let, X= be the random variable Given: μ=75,σ=19,n=65 We find, (a) Mean of  X¯=? and…

Q: find the following probability. P(25<x<32)

A: Given that X follows N(mean = 25, SD = 4), then Z = (X - mean)/SD follows N(0,1)

Q: The lottery commission has designed a new instant lottery game. Players pay $1.00 to scratch a…

A: given data is X P(X) 0 0.95 20 0.049 100 0.001 we have to find standard deviation of the…

Q: Q8/ If the average height of 500 students in a secondary school is 151 cm, with a standard deviation…

A: The following information has been given: The sample size is n=500. The population mean is μ=151.…

Q: Assume that thermometer readings are normally distributed with a mean of 0°C and a standard…

A: Given: Thermometer readings follows standard normal distribution.

Q: Find the indicated probability. The incomes of trainees at a local mill are normally distributed…

A: We have given that,  X be the random variable from normal distribution with mean (μ) = 1100,…

Q: A population has a mean of 180 and a standard deviation of 24. A sample of 64 observations will be…

A: Given Data: Let X represent the random variable Mean=180 SD=24 n=64

Q: Find the mean and standard deviation for the following probability distribution. P(x) 0.21 1 0.2 2…

A: Introduction: The random variable X has probability distribution function P (x), such that, P (x) =…

Q: Employees in a business have a standard normal distribution with an average monthly salary of 1700Ł…

A:

Q: A normal distribution has a mean of 33 and a standard deviation of 4. Find the probability that a…

A:

Q: Provide an appropriate response. Round to the nearest 8) Find the standard deviation for the given…

A: # Given: probability distribution of discrete random variable x is given then to find standard…

Q: The average life of a smartphone is 7 years with a standard deviation of 1 year. Assuming that the…

A:

Q: 1. The test scores of an Engineering Mechanics class with 800 students are distributed normally with…

A: Given,sample size(n)=800mean(μ)=75standard deviation(σ)=7

Q: Assume you have a normal distribution representing the likelihood of project completion times. The…

A: Let "X" be the likelihood of project completion times in days.

Q: If the temperature at which a certain compound melts is a random variable with mean value 115°C and…

A: It is given that  Mean = 1150C Standard deviation = 40C 0F = 1.80C + 32

Q: The average amount of Vitamin C in a capsule of a multivitamin is 500 mg and the standard deviation…

A:

Q: Find the indicated probability. IQ scores are known to be normally distributed with a mean of 100…

A: From the provided information, Mean (µ) = 100 Standard deviation (σ) = 15 X~N (100, 15) Here X be a…

Q: The salaries ofelementary school teachers are normally distributed with a mean of $32,000 and a…

A:

Q: Assuming the normal heart rate (H.R) in normal healthy individuals is normally distributed with Mean…

A:

Q: A population has a standard deviation of 16. If a sample of size 64 is selected from this…

A: Correct answer is (B) 0.6826

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.