Exp.(7): A factory products concrete tiles with average length of 60 cm and standard deviation of 2.5 mm, find the probability of the rejected tiles if : 1- The excepted limited length is (59.5-60.5) cm. 2- The excepted limited length is to not more than 60.4 cm.

Q: et  χ2 = Z12 + Z22 + … Zdf2 is chi-square distribution random variable, where df = 4. What is the…

A: Given that X2=Z12 +Z22+.....+Zdf2 is chi-square distribution random variable Where, df=4

Q: Assume that women's weights are normally distributed with a mean given by u = 143 Ib and a standard…

A: The provided information are: Population mean (µ) =143 Population standard deviation (σ) = 29…

Q: Assume that the readings at freezing on a bundle of thermometers are normally distributed with a…

A:

Q: d. FIND t a n = 10 for the 90% confidence interval for the mean. %3D

A: d. Given: n=10 α=0.1 The degrees of freedom is obtained as below: df=n-1=10-1=9 Critical value: The…

Q: 7. Derive the Wigner distribution of the signal s(t) = e+junt

A: we will use the formula of wigner distribution of any signal St  Wx,t=∫-∞∞xt+τ2×x*t-τ2×e-i2πτfdτ…

Q: A nutritionist claims that the mean tuna consumption by a person is 3.2 pounds per year, A sample of…

A: Given information Sample mean x̅ = 3.1 Population mean µ = 3.2 Sample size = 50 Standard deviation σ…

Q: From the Gaussian error curve, what is the probability that a result from population lies between -o…

A: We want to find P(mu-sigma<X<mu-3sigma)= ?

Q: X is a Gaussian random variable with the mean value of 10a and the standard deviation of 4a. a) P(a…

A:

Q: Assume that women's heights are normally distributed with a mean given by u = 64. 1 in. , and a…

A:

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

A:

Q: A soft-drink machine at a steak house is regulated so that the amount of drink dispensed is…

A: Let X be the amount of drink dispensed that follows Normal distribution with μ=220 milliliters and…

Q: Suppose that f (x) = e-* for 0 < x Determine the mean and variance of the random variable.

A: Given problem Given that   Suppose that  f(x) = e-x for 0 &lt; x  The mean and variance of the…

Q: Assume that the readings at freezing on a bundle of thermometers are normally distributed with a…

A: Given data: Mean = 0 ° C Standard deviation  = 1.00 ° C i.e , X ~ N ( 0 , 1) So we can use Z score.…

Q: If the average low temperature of a winter month in Kansas is 19∘ and the standard deviation is…

A: Given  Mean=μ=19, σ=3.9, P(14.71&lt;X&lt;23.29)=?

Q: Suppose that, on average, electricians earn approximately u $54,000 per year in the United States.…

A: GivenMean(μ)=54000standard deviation(σ)=12000sample size(n)=4

Q: Assume that females have pulse rates that are normally distributed with a mean of u= 73.0 and a…

A: Let X be the pulse rate of the females. Then X follows normal distribution with mean µ=73.0 and…

Q: Q4 The weight of McMaster students is Gaussian distributed with mean 86kg and standard deviation…

A: Given that: Mean = 86 kg S. D = 8 kg By using standard normal distribution z score...

Q: A soft-drink machine at a steak house is regulated so that the amount of drink dispensed is…

A: Let X be the quantity of drink dispensed. It is known- X~N150, 172So, X~N150, 17212, sample size is…

Q: Suppose the mean and standard deviation of the GPAs at Loyola are  Xbar = 1.833; and s = 0.044…

A:

Q: Answer both a and b using standard normal probabilities A soft-drink machine at a steak house is…

A: Given, μ=200σ=15n=9Wc={ 191 &lt; x &lt; 209 }

Q: Assume that women's weights are normally distributed with a mean given by u = 143 lb and a standard…

A: Let X be the weight of a randomly selected women. X~N(143 lb, 292lb) (a) P(X&gt;174)…

Q: Assume that the life time of the laptops are normally distributed. They are expected to last an…

A: Answer: ⊙ a. 0.84 The probability that it will need repair before 36000 hours is 0.84.

Q: A sample of university students has an average GPA of 2.78 with a standard deviation of 0.45. If GPA…

A: Solution-: Let, X= The GPAs of university students Given: We find, (a) less than 2.30 (b) more than…

Q: 0<x<1 f (x) = {2-x 1<x<2 18x<2 otherwise

A: Chebyshev’s theorem = P (|x - μ| ≤k2 ) ≥1-1k2

Q: Bob has a bulb factory that produces two types of bulbs: white light (x) and color light (y). It is…

A:

Q: Assume thoat X is a normnally distributed random variable with a mean ofu and a standard deviation…

A: Given that mean is μ. And standard deviation is: σ=0.15 PX≤2=0.0125 According to formula:…

Q: Let x be a continuous random variable that has a normal distribution with a mean of 50 and a…

A:

Q: normally distributed with a mean of $39,269 and a standard deviation of $2,550. The probability…

A:

Q: A man hieght and weight are nomally distributed with mean u= 70 inches and standard deviation a =…

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: Given a normal distribution with u = 75 and o = 15, X random variable is the amount of carbon…

A: Emeperical rule  P(u-3σ &lt;X&lt;u+3σ )=99.7% P(u-2σ &lt;X&lt;u+2σ )=95% P(u-σ &lt;X&lt;u+σ )=65%

Q: find the probabilities from a standard normal distribution that satisfy each of the following…

A: (a) From table z, Shade the appropriate area under the curve as follows:

Q: Suppose that the mean height of Grade 11 male students in a certain school is 170 cm, and that the…

A:

Q: The body temperatures of adults have a mean of 98.6° F and a standard deviation of 0.71° F. If 30…

A: From the provided information, Mean (µ) = 98.6 Standard deviation (σ) = 0.71

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: Assume that the readings at freezing on a bundle of thermometers are normally distributed with a…

A: We have to find given probability..

Q: A radio station claims that the amount of advertising per hour af broadcast time has an average of…

A: Given: n= 1 hours ,x̄=7/60= 0.1167 hour ,σ=2.5/60=0.04167 hours µ=16/60=0.2667 hours

Q: The probability that the percentage of salts in sand from a particular source does not match is 0.1,…

A:

Q: The sample mean and standard deviation from a random sample of 29 observations from a normal…

A:

Q: Assume that the readings at freezing on a bundle of thermometers are normally distributed with a…

A: GivenThe probability of obtaining a reading between -2.828oC and 0.913oC

Q: Assume that blood pressure readings are normally distributed with a mean of 122 and a standard…

A: Note: Please repost other question only i can author only one question as per my policy. Given…

Q: . Assume the heights of students at Champlain College are normally distributed with a mean of 64.0…

A:

Q: A certain brand of automobile tire has a life expectancy that 1e normally dietribute with a mean of…

A: Solution: Let X be the life expectancy of automobile tire has normal distribution with mean…

Q: Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean…

A: Given is a standard normal distribution where the cumulative distribution for all z greater than a…

Q: The profits of a mobile company are normally distributed with Mean of R.O (17x 10) and standard…

A: Standard normal distribution: The standard normal distribution is a special case of normal…

Q: Assume that the readings on the thermometers are normally distributed with a mean of 0∘ and a…

A: Solution: Note: Hello! As you have posted more than 3 sub parts, we are answering the first 3…

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

A:

Q: Suppose that a random variable X has a hypergeometric distribution with parameters n = 36, N = 50,…

A:

Q: 1)Assume that the readings at freezing on a batch of thermometers are normally distributed with a…

A:

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.