(a) Given a random varniable X which is normally distributed with mean 15 and standard deviation 10, find: i. P(X< 20) ii. P(X>12) ii. P(12

Q: Let the weights of 1 kg tea boxes filled with an automatic machine have a normal distribution with a…

A: Given data,Mean(μ)=1.03sd(σ)=0.02

Q: The daily exchange rates for the five-year period 2003 to 2008 between currency A and currency B are…

A: Empirical rule: The probability that the observation under the normal curve lies within 1 standard…

Q: Let X indicates the number of defective engine in a random sample of 25 engines. Probability of…

A: (a) Obtain the expected value of X.   The expected value of X is obtained below:   Let X denotes the…

Q: For random samples of size n- 25 selected from a normal distribution with a mean of u- 50 and a…

A: Define the Random Variable, Xi : Value of the i th random variable mean, µ = 50, standard deviation…

Q: In the estimation of a parameter using the t-distribution, is it possible to replace the population…

A: We have to find correct statement.

Q: 5) If X has a normal distribution with mean 1 and variance 4, the P(X²-2X<8)=?

A: Given data: If X has a normal distribution  mean=  1 and variance = 4 To find; P(X²-2X&lt;8)=?

Q: 2 If x is normally distributed with a mean of 5 and standard deviation of 2, find the P(x>8).

A: Given X is normal distribution Mean = 5 Standard deviation = 2

Q: Suppose heights of seasonal pine saplings have an unknown distribution with mean 265 and standard…

A: Given data,μ=265σ=18n=41P(X&lt;262.9)=?

Q: Compute the variance square and Standard Deviation for the  POISSON Distribution of:   Find P(3)?…

A:

Q: Let 0&lt; α&lt; 1. For a normally distributed variable, show that 100(1 − α)% of all possible…

A:

Q: 1. Let X denote the mean of a random sample of size 100 from a distribution that is x?(50). Compute…

A: Given, Let X¯  denote the mean of a random sample of size n = 100 from  χ2 (50) That is X ~ χ2 (50)…

Q: The College Boards, which are administered each year to many thousands ofhigh school students, are…

A: Hey, since there is multiple subpart questions posted, we will answer first three subparts. If you…

Q: Question #1 chpt 10 hypothesis test and H0 and Ha

A: Question #1:Denote μ1, μ2 as the true population mean salaries of Companies X and Y respectively,…

Q: A random normal variable X has a mean of 15500 and a standard deviation of 1500. Find a value of x…

A: I am sorry, I can not provide a solution on paper. We are strictly instructed to provide a typed…

Q: A researcher wants to determine if Americans are sleeping less than the recommended 7 hours of sleep…

A: 25) Solution: Given information: n= 150 Sample size x = 6.7  Sample mean μ=7 Population mean σ=…

Q: Given a normal distribution (X) with mean = 100 and standard deviation (σ) = 10,  w hat is the…

A: X follows a Normal distribution with mean = 100 and S.D = 10 Then z=(x-mean)/SD = (x-100)/10…

Q: A random sample of size, nA = 3 is selected from population A, which has a standard deviation of 6.…

A: Solution: From the given information, nA=3, nB=17, standard deviation of A is 6 and standard…

Q: In a population of children at a local elementary school, the average number of sick days taken per…

A: a) Let X be the number of days child would be sick, So, we have mean (µ) = 6 Standard deviation (σ)…

Q: find the minimum and maximum price of the houses that a contractor will build to satisfy the middle…

A:

Q: Let X has a random variable that represents the hemoglobin count in human blood in grams per…

A: Given that, Sample size n=10 Sample HC x¯=15.2 Population standard deviation σ=2.4

Q: Given that it is normally distributed with a standard deviation of 8.025 cm. If a tube is selected…

A: Let us assume the mean=μ Using the area below 59.8, which is 0.05, we get:…

Q: et x denote the time it takes to run a road race. Supposex is approximately normally distributed…

A:

Q: 3. Suppose that X has a Poisson distribution with h = 80. Find the probability PCX< 70) based on the…

A: Given: X has a Poisson distribution with h = 80.

Q: VII. Suppose a population of rice grain sacks has a mean of 180 with a standard deviation of 50 kg.…

A:

Q: For a weekly town council meeting in a certain town, the distribution of the duration of the meeting…

A: From the given information, x-bar 1 is represents the average duration town council meetings, and…

Q: A random normal variable X has a mean of 15500 and a standard deviation of 1500. Find a value of x…

A:

Q: Let \(X) be a normally distributed random variable with a mean 550 and a standard deviation of 150.…

A: 4. The provided information is µ=550 σ=150   The z score is  z=x¯-µσz=600-550150z=0.33

Q: (i) Let X, the number of flaws on the surface of a randomly selected pump of a certain  type, have a…

A: "Since you have posted a question with multiple subparts, we will solve first 3 sub-parts for you.…

Q: The random variable x represents the reaction times, in milliseconds, of girls in a driving…

A: Solution: Let X be the reaction time. From the given information, X follows normal distribution with…

Q: For a weekly town council meeting in a certain town, the distribution of the duration of the meeting…

A: Given that the duration of the town council meeting is approximately normal with mean 53 minutes and…

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A:

Q: The Project Manager found that distribution of the amount of gravel (in tons) sold by a particular…

A: a) The probability density function of X is given by, fx=321-x2  0≤x≤10    elsewhere Obtain the…

Q: The approximate probability of 17 bags exceeding this limit is in the range:

A: On a farm, the weight of each bag of soybeans is normally distributed, with a mean of 60 kg and a…

Q: Assume that X is normally distributed with a mean of 12 and a standard deviation of 4. Determine…

A:

Q: Let x be a normal random variable with a mean of 30 and a standard deviation of 4. Determine…

A:

Q: 7. Suppose that X has a discrete uniform distribution on the integers 0 through 5. Determine the…

A: X has a discrete uniform distribution, P(X = x) = 1/N : x = 0,1,2,3,4,5 N = 5

Q: If X is normal with mean 9 and variance o? where P(X >7.5) = 0.7734 Then standard deviation of X is

A: The mean of the data is 9. The probability of event is more than 7.5 is 0.7734

Q: Consider the probability distribution for number of children in local families. x P(x) 0 0.03 1…

A: The table shows the probability distribution for number of children in local families.

Q: Suppose Z follows the standard normal distribution. Use the calculator provided, or this table, to…

A:

Q: Assume X is normally distributed with a mean of 10 and a standard deviation of 2.1. Determine

A:

Q: Suppose that X has a Poisson distribution with h = 80. Find the probability P (X<70) based on the…

A: As per our guidelines, we are allowed to answer first question only. Thanks   1) X has Poisson…

Q: For a continuous random variable x, the population mean and the population standard deviation are 69…

A: Given data For a random variable x The mean is 69 and the standard deviation is 15 sample of 16…

Q: For a weekly town council meeting in a certain town, the distribution of the duration of the meeting…

A:

Q: 3. Suppose that X has a Poisson distribution with h= 80. Find the probability PCX< 70) based on the…

A: Here use normal approximation with continuity correction factor

Q: 4) Suppose an x distribution with u = 12 and standard deviation 6. Consider two i distributions, the…

A: Given data,μ=12σ=6First based on sample size n=36Second based on sample size n=64

Q: 3. Suppose that X has a Poisson distribution with h = 80. Find the probability P(X< 70) based on the…

A: Here when we use normal approximation we add 0.5 as continuity correction factor in X

Q: A given distribution has a population mean, μ, of 148 and a population standard deviation, σ, of 6.…

A: From the provided information, Mean (µ) = 148 Standard deviation (σ) = 6 X ~N (148, 6)

Q: 3. Let the weights of 1 kg tea boxes filled with an automatic machine have a normal distribution…

A: Let X be the random variable representing the weight of tea box. The mean and standard deviation is…

Q: 2- The test score is now normalised to have a mean of 0 and a standard deviation of 1. Using the…

A:

Q: ose the population of all public Universities shows the annual parking fee per student is normally…

A: mean = 110 standard deviation = 18 P(100&lt;x&lt;115) = ?

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.