Suppose you cross 5 traffic lights on your way to university and the probability of each of them being red is 0.7. The lights are independent. Let X be the the number of red lights you encounter on your way to university, then the mean of X is A 3.5 B 0.7 C 1.05 D 1.5

Q: A: selected number is greather than 5, and B selected number is a multiple of 3. find each…

A: 4. Here we have given, S= {2,3,4,5,6,7,8,9} n(s)  = 8 We have to find the following probabilities.

Q: Calculate the compound amount. Use the compound amount formula and a calculator. (Round your answer…

A:

Q: A card is drawn from a well-shuffled deck of 52 cards. Find the probability that the card is a red…

A: draw a card from well shuffled deck of 52 cards.  P(red card or a 4) = ?

Q: had annual check-ups and a biopsy at the end of the study. Prostate cancer was found in 804 of 4368…

A: Given that  n = 10 , p = 804/4368 = 0.184 X ~ Binomial (n = 10 , p = 0.184) p : Probability of men…

Q: (a) What is the probability that Peter gets a red marble? (b) If it's known that Peter gets a red…

A:

Q: Suppose each license plate in a certain state has four letters followed by two digits. The letters…

A: given data, each license plate in a certain state has four letters followed by two digitthe…

Q: A jar contains 6 white marbles, 3 orange marbles, 4 yellow marbles, and 2 black marbles. If a marble…

A: 6 white 3 orange 4 yellow 2 black _______________ 15 total marbles select a marble at random P(not…

Q: 2. The following is the preference table from a science club election where the candidates are Arrow…

A:

Q: Let X be a geometric random variable with parameter p = 0.1 and range space x 1 Evaluate th habilib:…

A: Let X be the geometric random variable with parameter p=0.1 PX=x=1-px-1p, x=1,2,3,...…

Q: 5. In a supermarket, the weights of apples and pears have approximately normal distributions. The…

A: Let X be the weights of apples follows normal distribution with mean 150 and standard deviation 15.…

Q: raffle is going to be held in which there is a first prize worth $400, and a second prize worth…

A: given data, first prize worth $400secound prize  worth $100n=100fair price for a ticket =?

Q: At the ice cream shop, there are 17 flavors of ice cream available. How many ways can you select a…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Complete the following. (a) Calculate how many numbers between 100 and 699 contain exactly one 1 by…

A: Given: We need to calculate the numbers between 100 and 699 that contain exactly one 1 by…

Q: What are the hypothesis that we need to verify to apply our analysis in M/M/1. Select all correct…

A: M/M/1 model: M/M/1 queue model is used to model single processor systems. The first letter is for…

Q: A vase contains purple, pink and yellow flowers. You and a friend are both allowed to choose one…

A:

Q: A catering service got hired to run the bar at a wedding with 100 guests. A wedding guest drinks on…

A: Let X denotes the number of pints a wedding guest drinks. Given that E(X)=4 and Var(X)=0.9. The…

Q: An audio equipment store has nine different amplifiers, five tuners, six turntables, eight tape…

A: 9 amplifiers5 tuners6 turntables8 tape decks7 compact disc players12 speakersall components are…

Q: A local country club has a membership of 600 and operates facilities that include an 18-hole…

A:

Q: 4 percent of a certain company's life insurance policy holders are smokers. For each nonsmoker the…

A: From the provided information, Probability of smoker P (S) = 0.04 Probability of non smoker P (S') =…

Q: In an online game tournament, there are 7 male and 6 famale players who are qualified to join the…

A: Combination formula :  The number of ways to select x subject from total n subject is given by,  Cxn…

Q: Students at another high school are also selecting a new school mascot. The table below shows how…

A: The data shows the how students voted by class on their choices of the titans, pirates and lions.

Q: Boris is putting 10 books in a row on his bookshelf. He will put one of the books, Pride and…

A: We have given that Total number of books = 10 Boris put Pride and Prejudice, in the first spot and…

Q: Suppose we want to choose 3 objects, without replacement, from the 4objects pencil, eraser, desk,…

A: We have given that we want to choose 3 objects, without replacement, from the 4objects pencil,…

Q: Use the empirical probability formula to solve the exercise. Express the answer as a fraction. Then…

A: It is given that a survey of 973 investors asked how often they tracked their portfolio.

Q: Kira must choose a size, a flavor of ice cream, and a topping for her ice cream dessert. There are…

A: two sizes three flavors two toppings tree diagram:

Q: The figure below shows graphs of the total cost function and the total revenue functions for a…

A: At first note that Blue line indicates Total Revenue(Y axis)     and Red Line indicates total cost…

Q: E We are given a coin with probability of head p = {1,2}. We flip the coin 10 times and result is 3…

A: Given::- We are given a coin with probability of head p = {1, 2}. We flip the coin 10 times and…

Q: The accompanying data represent the approximate population, in millions, of the 20 most populous…

A:

Q: PROBLEM (10) A risk averse decision maker with u(x) equal (1/2) probabilities. (a) Would he choose…

A: Here the risk-averse decision maker ux=x has the lottery L, which delivers 2500 dollars or 100…

Q: Q4 The overall distance traveled by a golf ball is tested by hitting the ball with iron. Eight…

A: Given::- The overall distance traveled by a golf ball is tested by hitting the ball with iron. Eight…

Q: In a condominium, the probability that a person owns a car is 0.4. If 19 tenants were interviewed…

A: given data  P(own car) = p = 0.4 sample size (n) = 19 x = no. of tenants own car P(X=x) =…

Q: 12) There are two boxes, A and B. Box A contains 4 blue balls and 6 red balls, while box B contains…

A: 12) It is given that the probability of choosing box A is 13.

Q: In a recent survey [YouGov, 11th–16th June 2020], 1088 adults were asked (amongst other questions)…

A: Given::- In a recent survey [YouGov, 11th–16th June 2020], 1088 adults were asked (amongst other…

Q: Solve the problem by applying the Fundamental Counting Principle. A restaurant offers a choice of 4…

A: It is given that a restaurant offers a choice of 4 salads, 5 main courses and 4 desserts.

Q: The perimeter of this rectange is 128 linear units, and the ratio of short side to long side is 3 :…

A: The perimeter of this rectangle is 128 linear units The ratio of the shortside to long side 3:5 Then…

Q: The fill amount of bottles of a soft drink is normally distributed, with a mean of 1.0 liter and a…

A: Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: A manufacturer knows that their items have a normally distributed length, with a mean of 6.2 inches,…

A: Given: Population mean, μ=6.2 Standard deviation, σ=0.5 We need to determine the probability that…

Q: Suppose that {X₂} are real valued random variables and that Xn a.s., X for some X so that |X| < ∞…

A: It is given that Xn1∞ are real valued random variables such that Xn→X a.s. We have to show that…

Q: A survey asked adults whether they had kids and whether they had The results are below.   Has Kids…

A: HERE,  data score table is given An adult is chosen at random. Calculate the probability that the…

Q: 22. Suppose {An} are independent events such that Ỹ (P(An) / (1 - P(An))) = n=1 Show P is…

A: Given::- Suppose {An} are independent events such that (PCA) (1-P(A)) = 0. n=1

Q: Suppose you have one deck of playing cards consisting of 8 playing cards with 4 aces, 2 kings and 2…

A: By classical definition of probability, probability is a the ratio of two numbers. It cannot be…

Q: Determine the real a such that P(X ≥ a) = 0, 2 Determine the real b such that P(176 − b ≤ X ≤ 180 +…

A: Given that Population mean =176 Standard deviation =10   We have to find Real value a such that…

Q: There are 190 true and false questions. What is the probability of getting at least 110 questions…

A: Givensample size(n)=190p=12=0.5       (since each question has 2 choices i.e., true or false )Let…

Q: A box has four cards numbered 1, 2, 3 and 4. Keiko will toss a coin once and record the toss as…

A: From given  A box has four cards numbered 1, 2, 3 and 4. And let H=Heads T=Tails

Q: Solve the problem that involves probabilities with events that are not mutually exclusive. Consider…

A: It is given that a group consisting of 7 democrats, 8 republicans and 3 independents.

Q: 6. Let X be the continuous random variable with the probability density function f(x) = {(2x+5)/44…

A:

Q: You roll a 4-sided die, numbered 1-4. Your payoffs for this game are: Roll 1 2 3 4 What is your…

A:

Q: (3) The following data represents the numbers of computer monitors produced by a company of Computer…

A: Given data is : 28,29,37,29,31,33,29,25,30,29

Q: For the following performance function and values shown for the variables, determine the safety…

A: The mentioned equation is, Z=f(w,x,y)=w3×x2+x×y2-5×w2×yμz=fμw,μx,μy

Q: Find the future value, A of a simple interest loan of $28,500 at 9.5% interest for 7 months. The…

A: Given: Principal amount P= $28500 Interests rate r= 9.5 % for 7 months  Then to find future value A…