Six questions are in a multiple-choice quiz. Each question has 5 possible answers. A student guesses at each question.  Find the probability that the student has 4 correct answers. Find the probability that the student passes (earns at least 50%) What is the student's expected number of correct answers

Q: 1 Y = where the X, are independent, identically distributed Cauchy r.v.'s with 1 fx, (x) = i = 1,......

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Q: 6. Suppose X is a random variable with E(X) = 4 and Var(X) = 9. Let Y = 4X + 5. Compute E and Var(Y)...

A: In question, Given that E(X) = 4 and Var(X) = 9  Y = 4X+5 Then we'll find the value of Var(Y). The s...

Q: friend devises a game that is played by rolling a single six-sided die once. If you roll a 6, he pay...

A: Given friend devises a game that is played by rolling a single six-sided die once. If you roll a 6, ...

Q: 1. A random sample of 400 voters in a certain city are asked if they favor an additional 4% gasoline...

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Q: Two fair dice are rolled. Let X be the absolute value of the difference between the two numbers on t...

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Q: Neil has a collection of 8 dice, 5 of which have four sides. If Neil randomly rolls 4 dice, what is ...

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Q: 1a. Use the counting techniques from the last chapter. A bag contains two red marbles, three green o...

A: 1a.  Number of red marbles = 2 Number of green marbles = 3 Number of fluorescent pink marbles = 1 Nu...

Q: A sample of 50 task has been considered and was analyzed. It was found out that the values 34 and 3....

A: It is given that Sample size n = 50 Sample mean M = 34 Population SD = 3.3  

Q: If X~B(15, 0.8). Find P(X=12). [ select the closest answer] O A. 0.418 O B. 0.250 O C. 0.176 O D. 0....

A: Given data: X ~ B (15 , 0.8 ) To find: P ( X = 12 ) = ?

Q: Let X1 and X2 be two independent random variables. X1 is normal N(1,4) and X2 is normal N(1,2). Expr...

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Q: There are 8 people on a basketball team, and the coach needs to choose 5 to put into a game. How man...

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Q: Let X_1 and X_2 be independent random variables for which P(X_i = 1) = 2/5 and P(X_i = 2) = 3/5. Def...

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Q: In a football match, suppose that the probability of Team A winning is 0.3, Team B winning is 0.5 an...

A: The probability of match getting a tie is 1-0.3-0.5=0.2.

Q: no restrictions are imposed b. 2 particular statisticians must be on the committee

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Q: A data set contains 10 numerical predictors, 7 categorical variables with 2 levels, and 3 categorica...

A: The total number of candidate models does the all possible procedures are  67108864

Q: IF X-N(47, 225). Find the z-score of X=53 O A. -0.4 O B. 1.25 O C. None of these O D. -0.73 O E. 0.4

A: In question, Given that X~N(47, 225). Then we'll find the z - score of X = 53. The solution is below...

Q: A company has 9 women and 8 men. What is the probability that a 7 person committee will have 4 men a...

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Q: Determine the probability of getting the numbers 4 and 2 when you roll two dice simultaneously. Use ...

A: To find: The probability of getting the numbers 4 and 2 when you roll two dice simultaneously.  

Q: Suppose that X,Y , and Z are random variables with X~ further that X and Z are independent but that ...

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Q: The discrete random variable X has the probability distribution given by: -4 -2 2 4 P(X= x) 0.3 3k k...

A: The probability distribution of random variable X is given.

Q: 1. Find the density of Y = 1– e-AX when X ~ Exp(X). Note that the density of X is S le-Az if x > 0, ...

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Q: Suppose that X,Y, and Z are random variables with X ~ Bin(16, 1/4), Y ~ Geom(1/2), and Z ~ Poisson(5...

A: Solution: Let X, Y and Z are random variables.  X~B(n= 16, p=1/4)Y~Geom(p=1/2=0.5)and Z~Poisson(λ=5)...

Q: For each of the following Hypothesis Tests perform each of the following steps. State the hypothese...

A: 1. Assume that µd is the true mean difference of posttest and pretest scores. That, is µd = µPosttes...

Q: A study determined that 2% of children under 18 years old lived with their father only. Find the pro...

A: Let p denote the probability that 2% of children under 18 years live with father So p=0.02 and q=1-p...

Q: A random sample of n = 8 observations from a normal population produced the following measurements: ...

A: From the provided information, Sample size (n) = 8 Level of significance (α) = 0.01

Q: Find the characteristic function of a random variable having the binomial distribution with paramete...

A: The characteristic function of a random variable having the binomial distributio with parameters p a...

Q: suppos that we that two boxes contains balls as, the first box A1 has 3 red balls and 5 black balls,...

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Q: A.) How many distinct  permutations can be formed from all the letters of the word "unusual"? B.) A...

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Q: A) A die is tossed. if the number is odd, what is the probability that it is a prime?   B) A commi...

A: The objective of the problem is to find the probability that it is a odd prime number.

Q: Let X1 and X2 be two independent random variables. X1 is normal N(1, 4) and X2 is normal N(1,2). Exp...

A: Normal Distribution: A continuous random variable X is said to follow Normal distribution with param...

Q: Problem#2: An installation technician for a specialized communication system is dispatched to a city...

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Q: 14 23 22 14 19 17 21 18 15 24 Test to determine if we can infer at the 10% significance level that t...

A: Given data : 14, 14, 15, 17, 18, 19, 21, 22, 23, 24

Q: Suppose U ~ Binomial(n, p) and n > 2. What is P(U > 1)? Select one: 1- (1- p)"-[1 + (n – 1)p) O b. n...

A: We have given that,  Suppose U~Binomial(n, P) and n>2. Then,  We will be P(U>1) = ? 

Q: A single card is drawn from a standard 52-card deck. Let D be the event that the card drawn is a bla...

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Q: 3. (Independent Trials). A rifleman hits (H) his target with probability 9/13, and hence misses (M) ...

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Q: Suppose that X, Y, and Z are random variables with X - Bin(16, 1/4), Y ~ Geom(1/2), and Z ~ Poisson(...

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Q: Example 2e: Find the probability that in tossing a fair coin three times there will appear (a) 3 hea...

A: A random variable x will follow the binomial distribution if there are total n number of fixed indep...

Q: U ~ Binomial(n, p) and n > 2. What is P(U > 1)3 e: (1 – p)"='[(1 – p) + np] 1- (1 – p)"-'[1 + (n – 1...

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Q: Exercise 10-4 Static After a data set was partitioned using the split value of 45.5 for age. The age...

A: Gini Index: Gini index or Gini Impurity measures that are randomly chosen where the degree of probab...

Q: 2. An electrical firm manufactures light bulbs that have a lifetime that is approximately normally d...

A: Result Fail to reject null hypothesis We say that there is not statistically significant.

Q: How many 4 digit numbers can be formed by the use of digits 1, 2, 3, 4, 6 and 7 if one digits is use...

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Q: State the hypotheses and identify the claim. Compute the test statistic Find the P-value. Make the d...

A:   State the hypotheses and identify the claim. Ho :relationship between gender and procedure are i...

Q: Example 20: In a residential complex 1000 apartments, 500 residents in the northern sector and 500 o...

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

Q: A quiz consists of 24 multiple-choice questions. Each question has 5 possible answers only one of wh...

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Q: Let A and B be events such that P (A) = 4/10 and that P (A U B) = 7/10 Find the probability of B ass...

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Q: Suppose V ~ Geom(p) withp=0.04 and that W = 2V. Find P(W > 8), giving your answer correct to two dec...

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Q: A pair of dice is rolled. Find the probability of rolling a) a sum not more than 11, b) a sum not le...

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Q: Suppose U Binomial(n, p) and n > 2. What is P(U > 1)? Select one: O a. 1- (1- p)"(1+ (n – 1)p] O b. ...

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Q: (a) Let Z be a discrete random variable taking one of the four distributions covered in Chapter 10. ...

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