If 4-digit numbers greater than 5,000 are randomly formed from the digits 0, 1, 3, 5, and 7, what is the probability of forming a number divisible by 5 when, (i) the digits are repeated? (ii) the repetition of digits is not allowed?

Q: Each person in a group of students was identified by year and asked when he or she preferred taking…

A: Given table as

Q: ) Let {X(t)} be a BM with parameter σ = 2 and X(0) = 0. Find P(T−1 < T2 < T−2).

A: Given that - Let {X(t)} be a BM with parameter σ = 2 and X(0) = 0.

Q: Select the correct answer. A geologist finds out that a radioactive substance A that he found in the…

A:

Q: In the instant lottery with 10% winning tickets, if X is equal to the number of winning tickets…

A: Binomial distribution is given by

Q: 15. The true limits of the interval 8.4-8.6 16. The frequency in the interval 8.4-8.9 17. If a…

A: II The given information has presented in the following table as follows: SL. No. X Frequency (f)…

Q: Q.4\ Find the channel capacity and redundancy for the channel having transition prob. p(y/x),…

A:

Q: In the instant lottery with 30% winning tickets, if X is equal to the number of winning tickets…

A: Solution-: Given: n=8, p=0.30 (or 30%) We want find, P(purchasing two winning tickets)=?

Q: The joint distribution of the random variable X and Y is given in the following table:

A: From the total probability condition, ∑x∑yPx,y=1 Consider,…

Q: survey of authors by a (fictitious) publishing company.   New Authors Established Authors Total…

A:

Q: Then the mean number (to the nearest whole number) of students who will finish the exam in less than…

A: here use cumulative distribution of x as given by F(x)

Q: these events? ittee

A: Here a committee of 4 is to be chosen from a group of 10 student. We have chosen Luis and Mercy…

Q: how many study groups of 3 girls and 2 boys can be formed?

A: here given class contains 32 girls and 18 boys  here use counting principle

Q: VI. A three-digit number with no repeated digits is made from the digits 1 to 7. What is the…

A: A three-digit number with no repeated digits is madie from the digits 1 to 7. We need to find the…

Q: VI. A three-digit number with no repeated digits is made from the digits 1 to 7. What is the…

A: Solution: From the given information, the digits are 1, 2, 3, 4, 5, 6 and 7.

Q: 4.Suppose that X is a random variable for which E(X)=µ and Var(X)=o². Show that E(X(X-1)]=µ(µ-1)+o?

A: It is given that E(X) = μ and Var(X) = σ2

Q: blue. What is 45. gets only one blue ball? 43. gets a blue ball and then a yellow ball? 44. gets a…

A: here define events get blue ball  =  B get yellow ball= Y  here total 5 blue balls and  4 yellow…

Q: V Use the given data below to answer item numbers 30 to 39. Class Interval f 4. 50-54 45-49 5. 40-44…

A: 30. The range of the distribution is - Maximum value - Minimum value = 54.5 - 19.5 = 35

Q: An observer counts 360 veh/h at a specific highway location. Assuming that the arrival of vehicles…

A:

Q: 2. From the given table NUMBER 1, set the probabilities defines the conditional probability…

A: set the probabilities defines the conditional probability distribution of y given that x=3

Q: Question * Given the continuous random variables X and Y with joint probability density function x²…

A:

Q: Jeremiah has six boxes of six different sizes. Four boxes are taken at a time and arranged in…

A: Given that, Jeremiah has six boxes of six different sizes. Four boxes are taken at a time and…

Q: Recall that a bank manager has developed a new system to reduce the time customers spend waiting for…

A:

Q: Q6 The actual volume of seven oil cans labeled as 12 liters are as follows: 11.77, 11.90, 11.64,…

A: We have given that,  The data set are : 11.77, 11.90, 11.64, 11.84, 12.13, 11.99, 11.77 Then,  We…

Q: Let A and B be two events such that the probability of B is 0.5 and the probability of both is 0.2.…

A:

Q: Question * The joint distribution of the random variable X and Y is given in the following table: X…

A: Let X and Y be two discrete random variables defined over the sample space S. Then the function f(x,…

Q: IL. Solve each of the following problems. R A card is drawn from a standard deck of 52 cards. Find…

A: The following information has been given: 13.) Total number of cards =52 The number of heart cards…

Q: Let X and Y be jointly normal random variables with parameters, mu_{x} = 12 sigma_{x} ^ 2 = 1.64…

A: From the given information, X and Y are jointly normal random variables with…

Q: Mr. Cruz decided to flipped a coin five times, what is the probability of getting at least 3 heads?

A: Solution

Q: 4, 4, 5, 6, 9, 9, 9, 12, 13, 14, 14 26. The mean is 27 The median of the distribution is 28. The…

A: Solution: Given data is already in ascending order so use given data n=number of elements=11…

Q: Suppose X, Y are two discrete random variables with probability function given by: Y X-1 1/8 1/8 1/8…

A: Multiplication of marginal probabilities are are compared with joint pmf.

Q: 16. A bag contains 4 chocolates, 7 jellybeans, and 9 gummy bears. A candy is picked from the bag.…

A: 16. GIven a bag contain 4 chocolate 7 jellybeans, and 9 gummy bears .a candy is picked from bag.…

Q: Suppose X, Y are two discrete random variables with probability function given by: Y X -1 1 1/9 1/9…

A:

Q: Let cov(X,Y) = var(X) = and h(y) = }* (4y, 0<y<1 %D %3D 45 45 elsewhere Then the value of var(2X +…

A:

Q: In 2006, the General Social Survey asked 1,935 respondents whether or not they believed abortion…

A: The probability that who responded no to the abortion (21-30) = (number of people who said no) of…

Q: Find the probability of the following events. A. A number is drawn from the set {1, 2, 3, .., 20} 1.…

A: Followings are the explanation of the question A number is drawn from the set {1,2,3,....,20} i.e.…

Q: The life (in years) of a voltage regulator of a car has an exponentia with a mean life of 7 years.…

A: It is given that the life of a voltage regulator of a car has an exponential distribution with a…

Q: In a health examination survey of a prefecture in Japan, the population was found to have an average…

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Q: juniors. a) You pick three students at random, one at a time. What is the probability that all three…

A: here given there are total 30 students in class  10 freshman ,12 sophomore and 8 juniors…

Q: Q6 The actual volume of seven oil cans labeled as 12 liters are as follows: 11.77, 11.90, 11.64,…

A: We have given that,  The data set are : 11.77, 11.90, 11.64, 11.84, 12.13, 11.99, 11.77 Then,  We…

Q: Question Suppose wwe are interested in the relationship between an individual's brown hair and skin…

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Q: 14. A box with 12 articles contains one that is defective. In how many ways can Martin select 5…

A: The following information has been given: The total number of articles =12. The number of defective…

Q: 3 If P(X + Y > 5) = then a and b are equal to:

A:

Q: In a health examination survey of a prefecture in Japan, the population was found to have an average…

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Q: 30. The number of floats in the last Panagbenga Festival is about 50. This year, it is expected that…

A: here given , The number of floats in the last Panagbenga Festival is about 50. This year, it is…

Q: A programmer is creating a game with a villain who randomly appears and steals 50 gold coins from…

A: The image is attached below to find the expected value of a player.

Q: In a technology company, it is known that the average of network failure is 3 per week. What is the…

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Q: OB 0.021871 OC 0.936847 OD 0.063153 A statistics professor finds that when he schedules an office…

A: For the given data Select the correct choice

Q: If a random variable X is defined such that: E(X + 4) = 10 and E[(X + 4)²] = 114. Then the values of…

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Q: Suppose X, Y are two discrete random variables with probability function given by: Y X 1/9 1/9 -1 1…

A: There are two type of variable, they are dependent and independent variable. Dependent variable is…

Q: Question * Suppose X, Y are two discrete random variables with probability function given by: Y\ x…

A: XY -1 0 1 Total -1 1/10 0 2/10 3/10 0 2/10 1/10 1/10 4/10 1 0 2/10 1/10 3/10 Total 3/10…