15. A manufacturer of electric bulbs sends out 500 lots each consisting of 100 bulbs. If 5% bulbs are defective, in how many lot can we expect (1) 97 or more good bulbs? (ii) less than 96 good bulbs?

Q: A stereo store is offering a special price on a complete set of components (receiver, compact disc…

A: Receiver : (3 components) Compact disc player:( 4 components) Speakers : (3 components) Turntable:(4…

Q: In how many ways can a group of 9 students be chosen from 12 males and 18 females if the group must…

A: From the provided information, Total males = 12 Total females = 18

Q: A joint density function is given by f (x, y) = kx 0 < x < 1, 0 < y < 1 where k is a constant. (a)…

A: The given joint probability density function is, f(x,y)=kx ; 0&lt;x&lt;1, O&lt;y&lt;10    ;…

Q: If a dealer’s profit, in units of $5000, on a newautomobile can be locked upon as a random variable…

A: Given that : Probability Density function : f(x) = 2x(1-x), 0&lt;x&lt;1,

Q: What are the values ​​of a and b, symmetric with respect to the mean 10, such that 90% of children…

A:

Q: In how many ways can a father distribute 7 gifts to his 3 children, if the oldest child receives 3…

A: It is given that one child receives 3 gifts and the other two children receives 2 gifts each.

Q: Example Compute the expected value of a Bernoulli random variable.

A: To find :  Expected  value of Bernoulli random variable.  The expected  value of Bernoulli  random…

Q: The amount of barbeque sauce on VLC Spicy Wings is normally distributed with a mean of 20 mL (you…

A:

Q: Lotteries   The Sad State Lottery requires you to select a sequence of four different numbers from 0…

A: Given data  select four different numbers from 0 through 61. order of selection is important.  win…

Q: a) Classify the events as dependent or independent. The events of getting two aces when two cards…

A: Here we have to identify whether the given statement is dependent or independent  Since we know that…

Q: 1. Z score is 2.5 μ-60 o is 12, find X.

A: Given that Z score=2.5 μ=60 σ=12  We have to find x

Q: 10.) Wind turbines are notorious bird killers. In the name of gre reduce harm to these flying…

A: In this case, the study was conducted to determine if the blade color influenced fatality counts.…

Q: 2.6-8. The probability that a company's workforce has no accidents in a given month is 0.7 The…

A: It is given in the question: The probability that a company's workforce has no accidents in a given…

Q: distribution is X 1 p(x) .30 2 3 4 .25 .15 .05 5 .10 6 .15

A: Let X be the random variable having probability mass function is,  X 1 2 3 4 5 6 P(X)  0.30…

Q: Human populations (in millions) of a certain country are shown by age and region in the table. Using…

A: We have given the following table

Q: Discrete Probability:  Four dice are thrown, what's the probability that: a) None of them fall…

A: Given data : Four dice are thrown, what's the probability that: a) None of them fall higher than…

Q: 5. The probability that a Poisson variable X takes a positive value is 1-e-1.5. Find the variance…

A:

Q: Suppose the pdf of X is given by = {1+² 0 f(x) = (1/3+²³ × 0≤x≤2 otherwise ✪ Derive F(x). Calculate…

A: Given,f(x)={18+38x; 0≤X≤20otherwise

Q: Consider two events, A and B, such that P(A) = 0.6, P(B) = 0.7 and P(A intersection B) = 0.4. What…

A: Using the formula for the union of two events, P(A union B) = P(A) + P(B) - P(A intersection B)…

Q: It is claimed that a vitamin supplement helps mice learn to run a maze more quickly and, in fact, to…

A: Given Information:- It is claimed that a vitamin supplement helps mice learn to run a maze more…

Q: From the tree diagram find the following. () PANE) (b) P(A) (c) P(ALE) 07 03 0.2 05 04 0.3 0.3

A: Given tree diagram is

Q: A DNA sequence can be represented as a string of the letters ACTG (short for adenine, cytosine,…

A:

Q: Suppose that we have two events, A and B, with P(A) = 0.50, P(B) = 0.60, and P(A n B) = 0.40. (a)…

A: given   data ,  two events , p(A)=0.50p(B)=0.60p(A∩B)=0.40  we have to  answer part a to c for the…

Q: Please send me answer within 10 min!! I will rate you good for sure!! Please solve all parts and…

A: Data given n=80, p=0.46  Each pick is independent.

Q: A multiple choice examination has 20 questions. One point is awarded for each correct answer and 0.2…

A: 4. Given information: A multiple choice examination has 20 questions. One point is awarded for each…

Q: A manufacturer knows that their items have a lengths that are skewed right, with a mean of 12.4…

A: From the provided information, Mean (µ) = 12.4 Standard deviation (σ) = 2.5 Sample size (n) = 46

Q: What are example real life situations that will show the concept of probability distribution, normal…

A: Introduction Probability distributions, normal distributions, and sampling distributions are…

Q: The table shows relative frequencies for red-green color blindness in one doctor's practice. M…

A: M M' Totals C 0.047 0.007 0.054 C' 0.549 0.397 0.946 Totals 0.596 0.404 1.000

Q: her archery lessons, Tess has a 90% chance of getting a bull's eye. Unfortunately, there is only a…

A: here given, P(getting bull's eye) = 0.9 P(her instructor watching) = 0.4     we need to find P(her…

Q: A bag contains 25 balls such as 10 balls are red, 7 are white and 8 are blue. What is the minimum…

A:

Q: (a) Let A and B be independent events with P[A] = 1/5 and P[B] = 1/4. Calculate P[An B] and P[AU B].

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: Research by the Pew Research Center in 2008 shows that 71% of American teens own a cell phone and…

A: Let A be the event that American teens owns a cell phone and B be the event that American teens owns…

Q: In the group stage of the FIFA world cup each team plays three games with the other members of its…

A: Solution: From the given information, a win earns 3 points, a draw (tie) earns 1 and a loss earns 0…

Q: The Toronto Blue Jays are not having a very good year. Based on However, after a win, they are 60%…

A: Given: Probability of winning the game in first chance : PW1=0.37 Probability of winning the game in…

Q: The state of California has a mean annual rainfall of 19 inches, whereas the state of New York has a…

A: Given Information: California: Mean μ=19 Standard deviation σ=4 Sample size n=30 New York: Mean μ=48…

Q: Is it a valid density ? Calculate P(0.5 ≤ x ≤ 5).

A:

Q: In a three-way race for the U.S. Senate, polls indicate that the two leading candidates are running…

A: Introduction: A sample space for a random survey experiment is a set of all possible outcomes of…

Q: How to achieve solution using data management  A pair dice is rolled 30 times. Determine the…

A: pair of dice is rolled 30 times. for dice possible outcomes are  : {1,2,3,4,5,6} P(roll 3) = 16 for…

Q: 5. Suppose we have a network with two types of people, Wolverines and Buckeyes. Links are formed via…

A: This question pertains to the concept of network analysis and the use of a stochastic block model to…

Q: The probability that an event will happen isP(E)=0.22.Find the probability that the event will not…

A: Given that  The probability that an event will happen isP(E)=0.22

Q: A fair coin was tossed 10 times. Calculate the probability p that at most 4 of the 10 tosses are…

A: toss a fair coin 10 times.  P(atmost 4 heads) = ?

Q: In a physical experiment, there are 104 elementary particles under consideration. During the…

A: Given information: Let X be a random variable that denotes the number of decays. The sample size is…

Q: 68. a. For what value of c is the quantity Σ(x, - c)² mini- mized? [Hint: Take the derivative with…

A: The sample mean is denoted by the x and population mean is denoted by μ The sample mean is…

Q: People with type O-negative blood are universal donors. That is, any patient can receive a…

A: Given that  Number of trials n=10 Success of probability p=0.072 X~binomial (n , p) nCx=n!/x!(n-x)!…

Q: Brianna is using the two spinners shown below to play her new board game. She spins the arrow on…

A: spinner 1 : {1,2,3,4}spinner 2 : {forward,backward}brianna spin both spinner.

Q: Suppose X has pmf X 013 p(x) .4 2.4 ● Compute E(X). 2 Let h(X) = X². Compute E(h(X)).

A: We have given that  Probability mass function.  X 0 1 3 P(x) 0.4 0.2 0.4

Q: 12. Between the hours of 2 and 4 p.m., the average number of phone calls per minute coming into the…

A: Given information  Average=2.5

Q: Company A has probability .01 of defaulting, company B has probability .005 of default- ing, if…

A:

Q: Consider the following sample of Joe's Scrabble scores 140 110 130 155 182 132 175 107 168 174 135…

A: Given data is140,110,130,155,182,132,175,107,168,174,135sample size(n)=11

Q: Use the given information to fill in the number of elements for each region in the Venn diagram.…

A: Given that n(A)=21, n(B)=17, n(A U B)=24