The probabilities of a machine manufacturing 0,1,2,3,4, or defective machines parts in one day are 0.75, 0.17, 0.C

Q: Solve the following by concept of normal distribution and graph clearly. Show your complete solution...

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Q: How many three-digit numbers can be formed using the numerals {3, 4, 5, 6, 7} without repetition?

A: Given  Five numbers { 3,4,5,6,7} then How many three-digit numbers can be formed using the numerals ...

Q: Suppose the random variable x is continuous and has the following cumulative distribution function (...

A: Given,F(X)=1-e-x/2;  when x>00; elsewhere

Q: Ompany prices its tornadó insürance using the following assumptions: • In any calendar year, there c...

A: Given that n =12,p =0.03 find P( x<3 ) =?

Q: 2.1. Consider the table below consisting of months and total jobs filled for a certain company in Ga...

A: Data for   total jobs filled according to months given We have to find out auto correlation function...

Q: The Credit Risk Department of a major bank estimates the default rate on loans under $10,000 to be 5...

A: a) Assume that p as the true population proportion of defaults under $10,000 to be made next month.

Q: An array of 30 LED bulbs is used in an automotive ight. The probability that a bulb is defective is ...

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Q: 2. Do the followings with R: a. Create a plot of the pdf of the exponential distribution Exp(A = 2)....

A: a. Plot the pdf of the exponential distribution with Expλ=2:  

Q: n how many ways can the names be arranged? ot all the arrangements of names in part (a) could be sun...

A: Definition  A combination is a grouping of outcomes in which the order does not matter The number of...

Q: QUESTION 1 There are -two- boxes containing blue and white marbles. Box 1 has 4 blue and 3 white mar...

A: There are two boxes.  1) Box 1 contains 4 Blue and 3 White Marbles  2) Box 2 contains 3 Blue Marbles...

Q: Problems 1. Two discrete random variables X and Y have joint pmf given by the following table: 3. 12...

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Q: 1. A baseball team that has 15 players on its roster. Nine players will be selected for their starti...

A: Given that  Number of people on its roster (n) =  15 Number of left handers = 5 Number of right hand...

Q: Consider an ordinary deck of 52 playing cards with four suits (hearts, spades, diamonds, clubs) and ...

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Q: (9) A sample of 200 (Two Hundred) college undergraduates was collected and the student's gender and ...

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Q: A random sample of 40 professional basketball players indicated the mean height to be 6.45 feet with...

A: Given that  x̄ = 6.45 , s = 0.31 , n = 40 95% confidence interval 

Q: Q4. Central limit theorem (Theory) State and prove the central limit theorem.

A: Proof:-

Q: 1.) Find the Pr(-1.25 sz< 1.75). Draw the graph. Please show your solution. Please write the solutio...

A: Given that  Z=from -1.25 to 1.75 Z follows standard normal distribution 

Q: From 1 to 69 numbers, What is the probability that two consecutive numbers in the 5 selected numbers...

A: Given the problem of selecting five numbers from 1 to 69.

Q: The number of hours of computer usage in a day of a random sample of 20 students was recorded as fol...

A: The number of hours of computer usage in a day of a random sample of 20 students was recorded. We ne...

Q: Discrete Probability: What is the expected outcome of a hypergeometric distribution in which 10 obje...

A: We have given that hypergeometric distribution  n = 10 N= 40 M= 8 Formula Mean ; expectation μ = E(x...

Q: The mean weight of sachet of 3-in-1 coffee is 20 grams with a standard deviation of 1.2 grams. A sam...

A:   Mean = 20 Variance = (0.2)^2 = 0.04 Standard deviation = 0.2          

Q: Suppose a stick is randomly broken into three pieces. What is the probability that the three pieces ...

A: Given that: A stick is randomly broken into three pieces. The objective is to find the probability t...

Q: Find the probability that either a 6 or 7 will be obtained in one toss of a pair of dice.

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Q: Anita's, a fast-food chain specializing in hot dogs and garlic fries, keeps track of the proportion ...

A: It is given that n=40 and p=0.45.

Q: 3. Earl (from Chapter 6) still hates to wash the dishes and take out the garbage. He found his own w...

A: Probability of occuring head is 30% = 0.30 P(H=perform chore)= 0.30 He perform chore if head occurs....

Q: a. Compute E(y) (to 1 decimal). b. Compute Var(y) and o (to 2 decimals). Var(y)

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Q: The probability that a sample will have a z-score greater than is 0.35%. Z 0.0 0.01 0.02 0.03 2.50.9...

A: We have given that the probability is 0.35% = 0.0035.

Q: Discrete Probability: A spinner has equal sectors. Three sectors are blue, two are red and four are ...

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Q: 3. Suppose X1 and X2 are independent random variables w. Let U = X1 and V = X1+X2. Find p(U, V) in t...

A: Result  X1 and X2 are independent, then Cov(X1, X2)=0   

Q: The probability that a newborn baby does not cry after midnight is 2/50. The probability that a newb...

A: Given that  Probability mass function of X is  x 0 1 2 3 4 5 P(X=x) 2/50 11/50 23/50 9/50 5/50 ...

Q: 16. Determine the mean number of books sold in an hour at that local book store. 17. Find the standa...

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Q: In a computer installation, 60% of programs are written in C++ and 40% in Java. 60% of the programs ...

A: It is given that, in a computer installation, 60% of programs are written in C++ and 40% in Java.

Q: 2. There are 5 green 7 red balls. Two balls are selected one by one without replacement. Find the pr...

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Q: Horizontal lines indicate the duration of short-duration illness in 8 different people out of a comm...

A: Note: In case of multiple questions, answer to first question will be provided. Here Q3 has three su...

Q: P(X) X*P(X) X-u (X-u)^2 [X-))^2]*P(X) 0.48 3 0.36 4 0.11 0.05 LO

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Q: Find the probability of obtaining exactly one heart in four drawing from a deck of 52 cards. Find th...

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Q: Withdrawal symptoms may occur when a person using a painkiller stops using it. For a certain, widely...

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Q: ine data encounters are to be assigned to three jobs requiring 2, 3, and 4 encoders, respectively. H...

A: Given that  Number of data encounters (n) = 9  Number of jobs  = 3   We know that  By combinations w...

Q: Suppose that the result of the third quarter Exam of MSU-SHS is normally distributed has mean of 100...

A: We have given that the result of third quarter exam of MSU-SHS is normally distributed with mean 100...

Q: What is the probability that a batch of serum survives the first departmental inspection but is reje...

A: A manufacturer of a COVID-19 vaccine is concerned about the quality of its flu serum. Batches of ser...

Q: |Q3. Expected value, variance and the mgf of the sample mean Let X1,..., X, be independent and ident...

A: Ans:

Q: According to records, the amount of precipitation in a certain city on a November day has a mean of ...

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Q: First, find the probability mass function f(x).

A: A game is played using a four-sided wooden top, with one of four letters on each face, A, B, C, or D...

Q: 3. Which of the following events has the highest probability of occurring: a. At least two 6 shows u...

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Q: 1. Two discrete random variables X and Y have joint pmf given by the following table: 1 3. 1. 1. 12 ...

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Q: 8 customers (treated as distinct individuals) choose seating from 4 different types: 3 window, 2 mid...

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Q: License plates in Alberta have 3 letters followed by 4 numbers. What is the probability that Bob wil...

A: Here Given  License plates in Alberta have 3 letters followed by 4 numbers Now take Events P(X)=Prob...

Q: Does the background music affect the behavior of supermarket shoppers?  An experiment to answer this...

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Q: Suppose two dice (one red, one green) are rolled. Consider the following events. A: the red die show...

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Q: Below is a tree diagram showing the likelihood of it snowing on two consecutive days. Day after tomo...

A: