Let SN = X1 + X2+..+XN. IfN takes the values 0, 1, 2, 3 with probabilities 0.5, 0.3, 0.1, 0.1 respectively, and X takes values 1, 2, 3, 4, 5, 6 with probabilities 0.2, 0.2, 0.2, 0.2, 0.1, 0.1 respectively. Determine the mean of the stochastic sum i.e. E(SN)

Q: Given that P(A) = 0.47, P(B) = 0.07, and P(A and B) = 0.0329, are events A and B %3D %3D %3D…

A: Solution:- From given information p(A)=0.47p(B)=0.07p(A and B)=0.0329

Q: 48 13-17. For the probability density function f(x) = (x + 4), over the given interval [6, 10], find…

A: As per our guidelines we are supposed to answer only 3 subpart of any questions so i am solving…

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 survey determines the odds in favour of using a social media app are 31:19. Determine the…

A:

Q: 5. A cinema sells tickets for the opening of "Spider-Man: No Way Home" with 50 seats. From…

A: * SOLUTION :-  (5) Given that ,

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: Consider the following game, which is played simultaneously: B 1 1 -1 A 2 1 What type of game this…

A:

Q: urug trial tó treat chronic stultitia are listed below. Men with Men without Women with Women…

A: Given Men with marked improvement in treatment 2=627 Total =7390

Q: 7. A die is rolled. If it comes up 1, a ball is selected from an urn with 7 red balls and 5 blue…

A:

Q: The probability that two or three of the peoplo in the group are in thoir twenties is (Round to four…

A:

Q: 16. A company makes candy-coated chocolates, 40% of which are red. The production line mixes the…

A: Given: P(red candy), p = 0.4 q = 1 - p = 0.6 Sample size, n = 10 Binomial distribution: P(X = x) =…

Q: QUESTION 5 A lottery has a grand prize of $1,000,000, 4 runner-up prizes of $50,000 each, 14…

A: Given: The grand prize given is E1=$1 million=$1,000,000. The prize money won by 4 runners up is…

Q: Soxteen percent of U.S. residents are in their twenties. Considor a group of six U.S residents…

A:

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: In roulette, a wheel is divided up into slots of equal area. each slot is labeled with one of the…

A:

Q: a were collected to determine the relationship nool rank in class and the grade-point average at nan…

A: *Answer:  Given data and calculation is shown below Decile Rank(x) Grade Point Average(y) x2 y2…

Q: ER. Let X₁,..., Xn be a random sample from th x < x. (a) Show that X(1) = min, X, is a complet (b)…

A: *Answer:

Q: Q4: Let * denote the mean of a random sample of size 25 from a gamma type distribution with a = 4…

A:

Q: QUESTION 3 If an urn has 5 white balls and 10 red balls, what is the probability that 5 randomly…

A: Given,no.of white balls=5no.of red balls=10Total no.of balls=15

Q: ging from recent experience, 5% of the computer keyboards produced by an automatic, high-speed…

A:

Q: To disprove a previous study that claims that college graduates make an average salary of $46,000, a…

A:

Q: 10. Teachers' Salaries in Connecticut The average teacher's salary in Connecticut (ranked first…

A: The provided information is  x~N(µ=$57337, σ=$7500) a. P(x&lt;$ 52000)=?…

Q: Andy Roddick, a former professional tennis player believes he can make 70% of his first serves that…

A: It is given that x=260 and n=400.

Q: A box contains 3 red balls and 4 blue balls. If two balls are drawn in succession, what is the…

A: Given that  Total balls=3+4=7 Red balls=3 Blue balls=4 Find  P(red and other blue)

Q: 1. Σ. P(A = aB) 2. Σ, ΡA |Β = b) а 3. Σ. Σ, Ρ(Α = α, Β -) 4. Σ. Σ, (Α - a|B =b) B = b)

A:

Q: Suppose you have a 20-sided die with each side labeled with a number from 1 to 5. Here is the…

A: Sample is the any fraction of the population. It explains the characteristic of the population.…

Q: Answer the following questions about the relationships between pairs of variables and the values of…

A: Correlation is the degree or extent of relationship between two variables.

Q: YOU are in charge of a new products being launched by "Incredible Circuits". Mr. Eleck Trikal,…

A:

Q: There are 5 women and 10 men applying for 3 of the same job positions. What is the probability 3…

A:

Q: 4. Suppose that a sports event, called, 'Palarong UPLB', which is played annually by different…

A:

Q: If X and Y have the joint pdf fx.x (x, y) = 2 0<x<y≤ 1 fy(1/2) = fx|Y=1/2 (1/6)= P(0<x<1/8|Y=1/2)

A:

Q: Probability of Hitting a Target The probability that an archer hits the target is p = 0.9, so the…

A: From the provided information, Probability of hits the target (p) = 0.9 Number of trials (n) = 5

Q: A recruiting firm finds that 30% of the applicants for a certain industrial job have advanced…

A: Solution-: Given: p=0.30 (Or 30%) We want to find, (a) P(the first applicant having advanced…

Q: The SAT and ACT college entrance exams are taken by thousands of students each year. The scores on…

A: (a) Obtain the percent of students would score less than 550 in a typical year. The percent of…

Q: An asset has an average return of 10.43 percent and a standard deviation of 22.83 percent. What is…

A: here given, mean  = 10.43% standard deviation = 22.83 % here probability of return percentage (x% )…

Q: Soteen percent of U.S. residents are in their twenties. Consider a group of six U.S. residents…

A:

Q: You are dealt one card from a standard 52-card deck. Find the probability of being dealt a nine and…

A:

Q: A license plate begins with three letters. If the possible letters are A, B, C, D and E, how many…

A: Ans -  A license plate begins with three letters. If the possible letters are A, B, C, D and E, how…

Q: 8. Suppose X is a continuous random variable with -1 sXs 1 and having valid probability density…

A:

Q: Let X and Y be two discrete random variables with a joint probability distribution given by: X-1 X-2…

A:

Q: Q1.a) If the colours of cars is given by the distribution shown in Table Q1a): Table Q1a) Colour %…

A:

Q: Let X have the p. m. f. f(x) = 10' x f(x)= x= 1, 2, 3, 4. Find a) E[X] and b) E[X(5-X)]-

A: The given pmf can be described as X 1 2 3 4 f(x) 1/10 2/10 3/10 4/10

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: Given the probability Venn diagram below for the two Events A and B find the probabilities: 0.6 0.5…

A: Hello! As you have posted 2 different questions, we are answering the first question. In case you…

Q: The length of human pregnancies from conception to birth follows a normal distribution with a mean…

A: Let X denote the length of human pregnancies. Given that X follows N(mean = 266, SD = 18), then Z =…

Q: 8. Light bulbs are tested for their ife-span From previous tests, has been found thal S% of the lght…

A: Given that n =10 ,p =0.05 ,p ( x =2 ) =?

Q: a) Find the probability that there will be more than eight hurricanes next year. b) State the type…

A:

Q: In​ Lindsay's class, there were three students who scored 80 on a test and six students who scored…

A:

Q: A sample of 400 adults found that 82  have high blood pressure. However, 98 of those studied…

A: The total sample of adults is 400.

Q: Question 2: A particle moves on a circle through points that have been marked 0, 1, 2, 3, 4 (point…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…