6- The variance of the sum of the random variables equals the sum of the variances if the random variables are uncorrelated.

Q: Classify the following statement as an example of classical probability, empirical probability, or…

A: The provided example is  The probability of choosing 6 numbers from 1 to 38 that match 6 numbers…

Q: that there was no infection by that disease :in a town of 100,000 population is

A: Here given, Percentage infection of disease in country was 0.005 So  p = 0.00005  q = 1- p = 0.99995…

Q: Calculate the means and standard deviations of:37, 26, 19, 21, 19, 25, 17 6.9;3 .a O 2.414 :3 .b O…

A: Mean and sd are calculated using respective formulas.

Q: In how many ways can we arrange seven letters of the word SWITZERLAND that starts with letter S and…

A:

Q: A study claimed that the competence of Engineers is described as moderately competent having an…

A: Given information: μ=4.02x=3.35n=55N=110s=0.3519α=0.01

Q: The pass completion percentages of 10 college football quarterbacks for their freshman and sophomore…

A: The t test are used to test the mean significance between the two sample. It used to test the paired…

Q: Do college students enjoy playing sports more than watching sports? A researcher randomly selected…

A: From the provided information, Sample size (n) = 10 Level of significance (α) = 0.01

Q: Assume that in a certain company of Muscat the probability of a certain item being defective is…

A:

Q: f(x,y) x=0x=1 y=0 0.4 0.1 0.1 0.4 An error occurs when X Y. An 8-bit long message is sent over this…

A:

Q: If the probability distribution of a continuous random variable that has values between y = 1 and 3…

A:

Q: If (x₁y). y || 3 X 2 4 • 10-10 0.15 0.20 0.30 5 0·10 0·15 a. Determine b. Determine the marginal…

A: The given data is  f(x,y) x 2 4 Total y 1 0.10 0.15 0.25 3 0.20 0.30 0.50 5 0.10 0.15…

Q: M&M sweets are of varying colours and the different colours occur in different proportions. The…

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Q: Q4/ The average on a statistics test was 78 with a standard deviation of 8. If the test scores are…

A:

Q: A set of measurements {x₁, x₂, x3,...,x,} has a mean of and a standard deviation of s. What are the…

A:

Q: In how many ways could 5 chocolate bars be choosen from a display of 10 chocolate bars? a. 50 b.…

A: Given No.of chocolate bars in display(n)=10No.of chocolate bars to be choosen(r)=5

Q: If the probability of rain tomorrow is 65%, what is the probability that it will not rain tomorrow?…

A: given;Pr(it will rain tomorrow)=65%=0.65

Q: One calculates if the average number of Voodents of a cotton Farm is to da nams, it is Particular…

A: From the provided information, x f (x) -1 c 3 0.15 4 0.45

Q: Find the entropy of the source producing the following messages: Px1 = 0.25, Px2 = 0.1, Px3 = 0.15,…

A: Decision tree used entropy for different sample size. It used to compute the similarity between the…

Q: A random variable, z, has p.d.f. f(z) = e ², 0 =< z < 1. Calculate the expected value of z. a. 1 b.…

A: From the provided information, The pdf of z is f (z) = e-z, 0 ≤ z &lt;1

Q: . An electronic assembly consists of two subsystems A and B. The following probabilities are known.…

A: Given: P(A fails)=0.25P(A and B fails)=0.14P(B fails alone)=0.15

Q: The population of 15 individuals who participated in the study reported a mean of 5.8667 glasses of…

A:

Q: The average number of cycles of charging of rechargeable batteries manufactures in a certain factory…

A: Given that mean = 485 Standard deviation = 32 P ( 450 &lt; x &lt; 550 ) = ?

Q: An un contains cards numbered 1.2 ... 100 . Let X be the least number on the 50 cards drawn randomly…

A:

Q: If A and B are any two events with P(A) = .3 and P(BIA) = .5, then the joint probability of A and B…

A: Solution-: Given: P(A)=0.3, P(B/A)=0.5  We want to find P(A and B)=?

Q: d. Determine e. Determine f. Determine value of (XY value of x² Y² уг the expected the expected the…

A:

Q: 3. Given the cumulative distribution function of a continuous variable X, x < 0 0<x< 1. Please solve…

A:

Q: A group of volleyball players consists of four grade-11 students and six grade-12 students. If six…

A:

Q: The probability a chip is manufactured to an acceptable standard is 0.87. A sample of six chips is…

A: GivenThe probability a chip is manufactured to an acceptable standard(p)=0.87sample size(n)=6Let "x…

Q: 1. At the horse races, the chances of a horse winning is expressed as odds against. In the first…

A: Dear student according to the guidelines we solve only first question when multiple unrelated…

Q: A milk display case at a grocery store is stocked with cartons of regular milk and soy milk, in both…

A:

Q: A laundry shop averages 9 customers per hour. Assume that the number of customers is a Poisson…

A:

Q: In a batch of 26 pedometers, 3 are believed to be defective. A quality-control engineer randomly…

A: Given data f(x)= (0, 0.59231),(1, 0.35538),(2, 0.05077),(3, 0.00154)

Q: A survey conducted for the Northwestern National Life Insurance Company revealed that 70% of…

A: It is given that n = 20 and p = 0.70.

Q: 3) a) What do this know about bootstrap ? b) when do we use an example you method (explain…

A: Bootstrap Method

Q: Consider the sample space S= {(-2, 4), (-1, 1), (0, 0), (1, 1), (2,4)}, where each point is assumed…

A: I find the the value of cov(X,Y) using r-software.   R-code:- x = c(-2,-1,0,1,2) y = c(4,1,0,1,4)…

Q: Find the probability distribution of the random variable y, which represents the number of times…

A: Given, Y 1 2 3 f(y) 130 430 930

Q: 34. A college offers tutoring in Math, English, and Chemistry. The number of students enrolled in…

A:

Q: Q3/ The probability that a consumer will rate a new antipollution device for cars What are the…

A: Given: Rate very poor poor fair good very good Excellent Probability 0.07 0.12 0.17 0.32 0.21…

Q: The U.S. national average door-to-doctor wait time for patients to se doctor is now 21.3 minutes.…

A: It is given that the mean is 21.3 and standard deviation is 6.7.

Q: From a group of 50 students at a university (10 students per year) a coordinating committee of 4…

A: Answer : - Given,   a group of 50 students at a university (10 students per year).…

Q: EXERCISE 2 (DISCRETE MATHS: DISCRETE PROBABILITY) What is the probability that Danny, Sam and Rose…

A: Given  the probability that Danny, Sam and Rose win the first, second, and third prizes,…

Q: Which is the expectation for a binomial distribution? O a) 3/ о b) np

A: Given problem is :

Q: Suppose that the probability that iraqi man has a high blood pressure is 0.15. If we randomly select…

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

Q: 4. The number of kilograms of bananas sold by a certain fruit vendor over a year follows a Poisson…

A: Given that, Average, λ = 52

Q: Q4/ The average on a statistics test was 78 with a standard deviation of 8. If the test scores are…

A:

Q: Banach space and T E B(X) an operator with 1+ ||T||

A: To prove, id+T=1+T

Q: Determine whether the claim stated below represents the null hypothesis or the alternative…

A: Given : Claim : the standard deviation for the gas mileage of one of the vehicles it manufactures is…

Q: 4. Assume that the life of laptop brand X is normally distributed. It was found that the average…

A: As per company guidelines i solved only first question .thank you  Given X~μμ,σAverage μ= 5 year…

Q: Giving a test to a group of students, the grades and gender are summarized below A B C Total Male 3…

A: Required probability is P(Female AND got a 'B')

Q: The Philippine Red Cross says that about 11% of PH population has Type B blood. A blood drive is…

A: