Suppose we have three events A, B, and C. If P(A) > 0, P(B) > 0 and P(C) < 1, and we know that if both A and B occur, then C must occur. Show that A, B and C are not mutually independent.

Q: Supercavitation is a propulsion technology for undersea vehicles that can greatly increase their…

A:

Q: Q2 : For three events A, B and C we know that • A and B are disjoint • A and C are independent • B…

A:

Q: Treatment| Placebo A study was done using a treatment group and a placebo group. The results are…

A: Thank you for posting the question. Since you have asked multiple question, we will solve the first…

Q: 1. Find Karl Pearson's co-efficient of correlation of the following data. Age of husband (x): 20 22…

A:

Q: Question 5 if y is the dependent variable and SSg-0.4 and SST-5, how much of variability in y is…

A:

Q: A consumer products company is formulating a new shampoo and is interested in foam height (in…

A:

Q: O The random variable X has a binomial distribution B(11, p). If P(X = 8) = P(X = 7) find the value…

A: Note: If the post contains multiple questions only allow to first question as per guidelines of…

Q: 1. Find the areas under the normal curve. A. Right of z = 2.13 B. Left of z = -1.03 C. Right of z…

A:

Q: Consider a market for used bicycles, with high and low quality. Sellers value high quality at $260…

A:

Q: 1. If the joint probability distribution of X and Y is given by f(x,y)= **Y for x=0,1,2,3; y=0,1,2,…

A: XY 0 1 2 3 Total 0 0 130 230 330 630 1 130 230 330 430 1030 2 230 330 430 530 1430…

Q: Q. 7 How do you construct of cost of living index number.

A:

Q: 2. A kindergarten class has 6 boys and 7 girls. At the end of each day, the teacher selects 5…

A: When there is uncertainty, there is probability. In a random experiment, we usually know the all…

Q: 19. Compute for the Crude Death Rate (based on the picture) A. 39.43 B. 42 C. 29.53 D. 37. 68

A: The formula to find the crude death rate is, CDR=Number of deaths during a yearmid year…

Q: A chemical engineer is trying to electroplate copper onto a circuit board. The engineer has found…

A:

Q: The null hypothesis (Ho) in a hypothesis test usually states that: O the probability of error will…

A:

Q: Ex-1 Write down the outcome set or the sample space in the following experiments: (a) A coin is…

A: We need to find the sample space in the following experiments: (a) A coin is tossed 2 times (assume…

Q: If X is uniformly distributed over (0,1), find the density function of Y = ex.

A:

Q: The line of best fit through a set of data is y = - 42.824 – 3.033x According to this equation, what…

A: Solution-: We have following regression equation  Y^=-42.824-3.033*X We want to find the predicted…

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

A: The expected value of X or mean of X is calculated as μ = ∑x. f(x)

Q: A union of restaurant and foodservice workers would like to estimate the mean hourty wage, , of…

A: Given that, a union of restaurant and foodservice workers would like to estimate the mean hourly…

Q: Consider a sample with data values of 10, 20, 16, 12, and 17. Compute the mean and median. mean…

A: Given data value is 10,20,16,12,17sample size(n)=5

Q: two balls are drawn at random from an urn containing six white and nine red balls. Recall, the…

A: 15(balls)=6(white)+9(red)

Q: 28. How many distinguishable permutations are there for the letters of PROBABILITY taken all…

A: here use basic of permutation

Q: Find the number of distinguishable permutations of the given letters "AABCCCDD". Your answer is :…

A: Given letters is "AABCCCDD"No.of times letter "A" repeats(a) = 2No.of times letter "C" repeats(b) =…

Q: Example 2 Locate the mode from the following frequency distribution. Marks: 40 50 60 70 80 90…

A:

Q: Have you ever tried to get out of jury duty? About 27% of those cated wil fnd an ecuse (work, poor…

A: Since we answer up to three subparts in a problem, we'll be answering the first three subparts.…

Q: Fit a normal distribution for the following data using area's method. C.I: 60-65 65-70 70-75 75-80…

A:

Q: If n-360 and p (p-hat) =0.48, find the margin of error at a 95% confidence level Give your answer to…

A: Given data,n=360p=0.48Z-value at 95% CI is Zc=1.96Margin of error E=?

Q: According to a report done by S&J Power, the mean lifetime of the light bulbs it manufactures is 45…

A:

Q: Ex-2 in Ex-1 (b), write down the following events, that is, write down the corresponding subsets of…

A: We have given the following events 3  coins tossed.  Sample space = 8

Q: 1. Find Karl Pearson's co-efficient of correlation of the following data. Age of husband (x): 20 22…

A:

Q: d.) In a random sample of 500 police officers, how many have an annual salary of at least $58,750.

A: Let X denote the annual salaries of police officers. Given that X follows N(mean = 50000, SD =…

Q: Collina's Italian Cafe in Houston, Texas, advertises that carryout orders take about 25 minutes.…

A:

Q: 2. Calculate the mean and median from the following data: Marks No of Students 0-10 10-20 10 20-30…

A:

Q: 71 4 36 5 32 6 26 7 18 8 16 9 14 10 8 11 2  Total 500 What is the probability…

A:

Q: 4. Calculate Karl Pearson's co-efficient of correlation for the following data. Price (in Rs) (x):…

A: We have given that, Price (X) :- 21, 22, 23, 24, 25, 26, 27, 28, 29, 30 Demand(Y):- 18, 19, 19, 16,…

Q: First a coin is tossed and then a four-sided die is rolled. How many possible outcomes are there? O…

A: Sample space of a coin is  toss and a four sided die is rolled.  {H,T} and {1,2,3,4}

Q: of the given x-values, if meaningful. The number of hours 6 students spent for a test and their…

A: Note: According to Bartleby expert guidelines, we can answer only first question with their three…

Q: On a given weekend in the fall, a tire company can buy television and advertising time for a college…

A:

Q: de 11 students, the resu

A: Given: Mean μ=179 Standard deviation σ=17

Q: Here is a bivariate data set. y 37.5 76 33.2 76.1 42.8 79.3 36.4 94.3 52.1 93.3 61.9 106.5 15.2 45.6…

A:

Q: Assume that the traffic to the web site of Smiley's People, Ic., which sells customizec follows a…

A: Given data,Mean μ=6.5sd     σ=3P(X&gt;1.5)=?

Q: We wish to compare average tree counts for 2 groups of 0.1 hectare plots areas that (1) have never…

A:

Q: Fit a normal distribution for the following data by using ordinates method. Class-interval 150-160…

A:

Q: Example 1 index.. You are given the following data relating to aptitude scores and productivity…

A:

Q: and in correlation form all four variables have variance unity and all pairwise correlation…

A:

Q: 5. Consider three events: E1, E2, and F. Assume that P(F) > 0, and that P(E, N E2|F) =…

A: Introduction:  Conditional Probability: Let there are two events , event A and event B. Then the…

Q: If X is an exponential random variable with parameter 1 = 1, compute the probability density…

A: Solution

Q: A cooler at a picnic contains 100 cans of soda covered by ice. There are 40 cans of cola, 32 cans of…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Two fair six-sided dice are rolled. Let A = the event that the dice add to 9, and let C= the event…

A: Solution