Fit a normal distribution for the following data by using ordinates method. Class-interval 150-160 160-170| 170-180 180-190 190-200 200-210 210-220 220-230 230-240| 66 72 Frequency 9 24 51 48 21 3

Q: • Let p be the probability of a success in a Bernoulli experiment and Pn de- note the probability…

A: The Bernoulli trials have either success with probability p or failure with probability 1-p. The…

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

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

A: Given: K = 3, N = 26, n = 7 Let X be the number of defective units that are among the 7 units…

Q: A coin is tossed twice. Let E be the event "the first tos shows heads" and F the event "the second…

A: Given that : A coin is tossed.  It has two choices that " Head " And " Tail " Total outcome = 22  =…

Q: Q1/ Suppose a pair of dice is rolled 1- What is the probability that both dice turn up the same ? 2-…

A: We have given two pair of dice rolled.  S={ (1,1) (1,2) (1,3) (1,4) (1,5) (1,6 S={ (1,1) (1,2) (1,3)…

Q: Professor Tough's final examination has 20 true-false questions followed by 3 multiple-choice…

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Q: 5. With height from 150 cm to 200 cm 6. With height less than 172 Formula: | z =

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Q: The probabilities that discipline officers will discover violations of the student handbook in a…

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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,…

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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: II. Create a standard normal curve for each given, find the areas under the normal curve and shade…

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Q: If the probability of a defective article is 1/10, find the Mean, Variance, Momer Coefficient of…

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Q: 6. Calculate co-efficient of correlation using Karl Pearson's method. Advertisement (000 Rs) (x): 39…

A: Given that    X Y X \cdot YX⋅Y X^2X2 Y^2Y2   39 47 1833 1521 2209   65 53 3445 4225 2809…

Q: There are hundreds of apples on the trees, so you randomly choose just 59 apples and get a mean…

A: Given,sample size(n)=59sample mean(x¯)=81.47standard deviation(s)=4.08degrees of…

Q: Given events A and B are events with P(~(A u B)=2/3, we can determine the probability of which other…

A: HERE given, P(~(A  ∪ B ) ) = 2/3

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: 2. p- value approach: Fill in the blanks in the table below. Test Statistic Significance Level |…

A: Given that  Claim on one tailed (right) and two tailed.

Q: For a team with 1318 turnovers in a season, find the expected number of wins in a season.

A: It is given that Regression equation of y on x is y = 102 - 0.05x

Q: What type of Index numbers are usually calculated ?

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Q: On a 6 question multiple-choice test, where each question has 5 answers, what would be the…

A: From the provided information, Number of questions (n) = 6 Each question has 5 answers.

Q: • Prove that if E and F are events in a sample space S (not necessarily finite) such that E C F, and…

A: Solution

Q: You carry seven keys in your pocket, two of which are for the two locks on your front door. You lose…

A: When we are working on probability, we are talking about uncertainty. When a coin is tossed, we do…

Q: Directions: Complete the table below by writing the missing information in the giv Conditions…

A: We have to find given probability using z table.

Q: IV. Associative Laws : If A, B and C are any three sets, then (1) (A U B) U C = AU (BUC) (ii)…

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Q: You may be conducting a study on why high school students choose community college over university.…

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Q: A chord of a circle is a line segment connecting two points on the circle. To pick a point uniformly…

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Q: What are fixed and chain base index numbers.

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Q: Find the equation of the regression line for the given data. Then construct a scatter plot of the…

A: We have given that,  X :- 0, 1, 2, 4, 5, 5 Y:- 40, 45, 51, 49, 62, 67 Then,  We will find the…

Q: You are given that P(A) = 0.5, P(B) = 0.25, and P(A n B) = 0.1. What is the probability that A or B…

A: Given,P(A)=0.5P(B)=0.25P(A∩B)=0.1

Q: Here is a bivariate data set. y 54.7 71.7 56 32.8 82.5 79.6 49.7 25.4 73.2 88.1 71.4 78.7 81.1 85.8…

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Q: Maaz is late for school 40% of the time. What is the probability that in a given school week…

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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: A regression was run to determine if there is a relationship between hours of TV watched per day (x)…

A: Given that y = ax +b a = -0.791 b = 27.682 r2 = 0.906304 r = -0.952

Q: Assume that X1, X,, ..., X, are pairwise independent, identically distributed random variables, each…

A: The Central Limit Theorem gives that the mean X¯ normal distribution with mean μ and the variance…

Q: A meeting of consuls was attended by 4 Australians and 4 Japanese. Three (3) consuls will be…

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Q: 25% of American adults are college graduates. Three American adults are randomly selected. If X…

A: Given that  Number of trials n=3 Success of probability p =0.25, q=0.75 X~binomial (n ,p) X denotes…

Q: 2. For the above data draw frequency curve.

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Q: Example 6. In a survey of 500 students in a college 180 were listed as drinking Tea, 275 as drinking…

A: Let T=students in a college were drinking TeaC=students in a college were drinking…

Q: Use either the letters in your surname or numbers in your student id card to explain the difference…

A: A permutation of a set is defined as an arrangement of its members into a sequence or if the set is…

Q: A 6-sided die is rolled twice. What is the probability of showing a 5 on both rolls? Your answer is…

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Q: Problem 6. Let A = {a, b, c, d}, B = {a, b, c} and C = {b, d}. Find all sets X such that : () ХСВ…

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Q: The student misplaced his notebook; however, he remembers that the notebook is in one of the "n'…

A: The total number of lockers are n. The probability that notebook is in jth locker is αj. The…

Q: Consider the multiplicative group ℤ∗8663. a) How many primitive elements does this group have? b)…

A: (a): we have 8540 primitive elements in this group (b): probability is:0.98

Q: If electricity power failures occur according to a Poisson distribution with an average of 3…

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Q: a) Find the probability that the student is taking at least one course in electronics, engine…

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Q: use the probability of the union of two events, independent, or dependent events in solving the…

A: Let A be the event for getting 2 or 3 on first toss  B be the event for getting 4,5 or 6 on the…

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

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Q: (vii) at least one of the car (viii) none of the car.

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Q: Suppose random variables X and Y are conditionally independent given random variable Z, i.e. P(X,…

A: Given that, P(X, Y|Z) = P(X|Z)P(Y|Z) (a). Then  P(Y/X,Z)= P(Y,X,Z)/P(X,Z)  (X and Y are…

Q: In how many ways can a party of 7 persons arrange themselves in a row of 7 chairs?

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