ВЗ. (а) Before Covid the QTI Summer Examinations were invigilated, closed-book exams. The scores on the exams followed a Normal Distribution with a mean of 50 and a standard deviation of 9. It is believed that with the on-line, open book structure the exams are proving easier. (i) Test this using the scores of 35 randomly selected scripts which gave a mean of 55. Use a one-tail test at the 5% significance level.

Q: A simple random sample of 40 items resulted in a sample mean of 25. The population standard…

A: We have given  sample mean of 25.  The population standard deviation is σ = 5.

Q: Subject: Your Month к хчу pcxing) other Find the marginal probability of Y P (Y) Date: X=1,2 153…

A: XY 1 2 Total 1 k 4 k 5 k 2 2 k 8 k 10 k 3 3 k 12 k 15 k Total 6 k 24 k 30 k we know…

Q: A study of interior designers' opinions with respect to the most desirable primary color for…

A: Use the total probability rule

Q: What is the standard deviation of the average fill volume of 100 cans?

A: We have given that the fill volume of cans are independent, normal random variables. The standard…

Q: :15 X has CDF 16. 17 A continuous r.v. X Co F(X)= === 2 × x OK X CI 18X ind value of k ***** 18 19…

A: The value of k will be 1 as F(x) is the cumulative density function of a certain f(x) with range…

Q: Based on the following list: 5, 3, 11, 7, 5, 2 What is the midrange? 6.5

A: We have given the following data  5, 3, 11 ,7, 5 ,2

Q: state populations and hypotheses (2) conduct a Factorial ANOVA in SPSS (3) report all results…

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Q: (2 points) Events A and B are mutually exclusive. P(A) = 0.2 and P(B) = 0.8. Find P(A U B) to one…

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Q: Transition diagram: Exercise: find the missing probabilities a, b, c, and d when N = 3. Express them…

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Q: The lifetime of a lightbulb can be modeled with an exponential random variable with an expected…

A: Let X be the random variable representing the number of days of lifetime of a considered light bulb.…

Q: A ball is drawn at random from a box Containing (6) red balls; (4) white balls and and (s) bine…

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Q: In an NBA championship series, the team which wins four games out of seven will be the winner.…

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Q: Question * Suppose that 70% of all diners choose vegetarian meals when eating away from home. On a…

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Q: Question 3 A staff car park at the university has 22 parking spaces in a row. There are 19 cars to…

A: Given Information: There are 22 parking spaces in a row. There are 19 cars in total, of which 11…

Q: 3:07 10 %840 Asiacell * Y. MO 0.00K/sl oodi-zain IQ quiz103.pdf → X=122 y=11213 other kx²j P(x,y) =…

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Q: Suppose a random variable x is best described by a uniform probability distribution with range 2 to…

A:

Q: A factory's worker productivity is normally distributed. One worker produces an average of 73 units…

A: Let the first worker output is = x and, Second worker output is  = y For X:  We have, mean =73 ,…

Q: u- 36 H-20 u+ 20 4+30 -- - - -- -3 Z score 15. Based on a 5% level of significance (see standard…

A: Given Information: Level of significanceα=0.05.

Q: 6. An old camera has a 45% chance of not responding after taking a shot. What is the probability…

A: Given: Probability of not responding (p)=0.45  the shot number on which camera stop responding(x)=6

Q: We have a normally distributed data set with a population standard deviation of 7 but we don't know…

A: We have given thatStandard deviation(σ) = 7Margin of error (E) = 1Significance level (α) = 1 - 0.95…

Q: Company XYZ knows that replacement times for the quartz time pieces it produces are normally…

A: Mean(µ) = 12.5Standard deviations (σ) = 0.6X ~ N (µ, σ )= N(12.5, 0.6)

Q: An engineer wishes to design a test to find the mean resistance of a wire. He wants to determine a…

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Q: 1. Compute the value of (), for n > 3.

A: Solution

Q: Question Suppose that X and Y are random variables with E(X) = 2, E(Y) = 5 and E(X²) = 8. E(Y²) = 30…

A: Solution

Q: A box has seven same size balls of four different colors: red, yellow, blue and green. A person is…

A:

Q: Suppose X~Uniform (0,1), and Y = -ln (1-x). (a). Find the probability density function of Y

A: Given that X follows Uniform distribution with (0, 1). Y=-ln1-X a) Consider, the cumulative…

Q: 2. Given that P(AUB) = 0.76 and P(AU B')=0.87, find P(A).

A: We have given that,  P(AUB) = 0.76 and P(AUB') = 0.87 Then,  We will find P(A) = ?

Q: Exercise 2. Show that the exponential distribution for time to failure has the forgetfulness…

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Q: The following items represent the number of birds observed at a given feeder over the past several…

A: Range of a data is nothing but the difference between the lowest value and the highest value in the…

Q: 1. What is the probability that when a coin is flipped six times in a row, it lands heads up every…

A: As per the Bartleby guildlines we have to solve first question and rest can be reposted... Given…

Q: The gestation period of humans follows a normal distribution with a mean of 266 days and a standard…

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Q: The probabilities are 0.40, 0.20, 0.30 and 0.10 respectively, that a delegate to a certain seminar…

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Q: II. Find the scores that are included in the following percentiles: 1. P50 2. P90 3. P10 III. Solve.…

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Q: An engineering company has four openings and the applicant pool consists of 6 database…

A: Number of applicants who are database administrators = 6 Number of applicants who are network…

Q: 3. There are seven computers available in a computer shop wherein two of them are malfunctioning. If…

A: Obtain the probability of getting at least one of the malfunctioning computers.   The probability of…

Q: estion Let X and Y be two discrete random variables with a joint probability distribution given by:…

A: let X and Y be two discrete random variables with a joint probability distribution given by:…

Q: Suppose that the weights of adult males have a mean of 60kls and standard deviation of 18 kg.…

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Q: Illustration 69. If 5% of the tubelights are defective, using Poisson's model find the probability…

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Q: Construct a 99% confidence interval to estimate the population mean using the accompanying data.…

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Q: 16. One of the interpretations of modern climate change is that warming temperatures will cause…

A: In the given diagram, the change in sea level is represented on the vertical axis (in meters) while…

Q: 9. Describe the key similarity between a binomial distribution and a hypergeometric distribution. a.…

A: We have to choose the key similarity between binomial distribution and hypergeometric distribution.…

Q: The mean annual cost of automobile insurance is $939 (CNBC, February 23, 2006). Assume that the…

A: Given that mean =939 , s.d = 245

Q: One card is randomly selected from a deck of cards. Find the odds against drawing a seven

A: Since we know that A deck contain 52 cards Number of seven cards = 4 Number of non-seven card = 52 -…

Q: There are two machines available for cutting corks intended for use in wine bottles. The first…

A: The first Machine :- Mean(µ) = 3Standard deviations (σ) = 0.10 X1 ~ N (µ, σ )= N(3, 0.10) The Second…

Q: 3.) Starting Salaries. Starting salaries (in thousands of dollars) for social workers with a…

A: Given  Number of observations given (n) = 25 The data is as below 28 29 27 32 30 33…

Q: Births in a hospital occur randomly at an average rate of 1.8 births per hour. a) What is the…

A: We have given λ = 1.8 X ~ Poisson (λ) Formula: P(X = x ) = e-λλx/x!

Q: 2.) Determine the mean, median, mode, and midrange of the following data set. 6, 8, 12, 13, 15, 11,…

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Q: Suppose that X has a lognormal distribution with parameters 0 = 0 and @² = 4. Determine the…

A: Given  X~lognormal(θ=0,ω2=4)

Q: I have a bag with 5 fair dice. Two are 4-sided, two are 6-sided, and one is 12-sided. I reach into…

A:

Q: A. Determine the number of winning coalitions in the weighted voting system [100: 50, 45, 45, 3]. 3…

A: The total number of coalition is the 2 raises the power of the number of players. That is, 2Number…