For a laboratory assignment, if the equipment is working, the density function of the observed outcome X is as shown below. Find the variance and standard deviation of X. f(x) = (2-x), 0

Q: The probability that my son gets enough sleep at night is 58% and the probability that he gets in…

A: Solution.

Q: Tom is planning to pick up a friend at the airport. He has figured out that the plane is late 75% of…

A:

Q: Standard automobile license plates in a country display 2 numbers, followed by 3 letters, followed…

A: Standard automobile license plates in a country display 2 numbers, followed by 3 letters, followed…

Q: A die is rolled and lands on a prim num

A: When describing how likely or unlikely something is to occur,  probabilities are used. Probabilities…

Q: A bag contains 2 gold marbles, 8 silver marbles, and 26 black marbles. Someone offers to play this…

A: Given that gold marbles =2 Siver marbles = 8 Black marbles = 26 Total marbles = 36

Q: A manufacturer knows that their items have a normally distributed lifespan, with a mean of 8.1…

A:

Q: Step 4 We determined that the weight capacity is exceeded if 16x ≥ 2,700. In other words, if x 2165…

A:

Q: A company manufacturing CDs is working on a new technology. A random sample of 769 Internet users…

A: Solution: From the given information, p-hat = 0.62 and n = 769.

Q: lo, elsewhere Find the value of c such that an interval from x to cx is a (1-a)100 % confidence…

A:

Q: Let x have a normal distribution with a mean of 91.2 and a standard deviation of 4.92. The z value…

A: Given that  Mean = 91.2 , Standard deviation = 4.92 X-score = 73.98

Q: After her annual eye exam, Gianna will randomly select a pair of contacts from the basket containing…

A: A basket containing 5 brown pair, 7 green pair, and 4 blue pair of colored contacts.total pair of…

Q: Problem 5: Let X, and X, be two random variables with joint probability mass function X₂ p(x1, x2)=6…

A:

Q: Find the area to the left of x = 79 under a normal distribution curve with u = 56 and 0 = 9. Round…

A:

Q: 1. You are taking a survey on your experience at Coffee project. For the first five questions you…

A: First 5 questions 3 ways(below average, average, above average) Last 3 question  2 ways(agree or…

Q: a. Create a discrete probability distribution (table form) for the random variable X. b. What is the…

A: Given that  Two dice are rolled  Let X be sum of two dice rolled  Sample space = S  S={ (1,1) (1,2)…

Q: A large operator of timeshare complexes requires anyone interested in making a purchase to first…

A: Let us define some events  A : a person makes day visit. B : a person makes a one-night visit. C : a…

Q: Probability distribution of the number of vegetables that I would buy every week: 4 6 X 2 8 10 P(x)…

A: For the given data Find all the required

Q: Find the mode of the given data 33,42,10,23,35,16,18,33,23,11,33

A: Answer: Given data is, 33,42,10,23,35,16,18,33,23,11,33 Number of samples = 11

Q: Suppose that n(A) = 17, n(A n B) = 9, and n(A U B) = 24. Find n(B). n(B) 8 x

A: Given that n(A )= 17,n(A∩B) =9,n(A∪B) =24,n(B ) =?

Q: A particular test for the presence of steroids is to be used after a professional track meet. If…

A: Let us define some events A : a person uses steroids. B : a person does not use steroids. E : the…

Q: 1. You are in charge of choosing the band for the Senior Prom. You want to get input from the…

A: Introduction: It is required to describe the way to choose an SRS (simple random sample) of size 40…

Q: 2.21. Let X and Y be independent Bernoulli (1/2) random variables. Let Z - (Y – X)². What is the…

A:

Q: According to a posting on a website subsequent to the death of a child who bit into a peanut, a…

A: (a)   Obtain the probability that he or she has at least one food allergy and a history of severe…

Q: Two companies, A and B, drill wells in a rural area. Company A charges a flat fee of 3008 dollars to…

A: given data company A charge $ 3008 regardless of its depth company B will charge 884$  fix + 12$ per…

Q: Is it possible to have a cluster of paperclips that is 16.29% small clips and 83.71% large clips?…

A:

Q: Please show your solution. Suppose box A contains 5 red and 3 white balls. If two balls are drawn in…

A: Given: Number of red balls = 5 Number of white balls = 3 Two balls are drawn in succession without…

Q: Use a table, calculator, or computer to find the specified area under a standard normal curve. Round…

A:

Q: Let's imagine that we have a regular deck of cards in our hand. We shuffle it, and draw a random…

A: Solution: A deck has 52 cards. It contains 4 Ace cards.

Q: A watch manufacturing company wants to reduce the number of defective pieces. It took an average of…

A: Given An average of 8 watches found defective in 100 lotsFor single lot,=8100=0.08 defective for…

Q: Let x denote the time it takes to run a road race. Suppose x is approximately normally distributed…

A:

Q: Consider an example where a company initially has a 10% market share. Using an advertising campaign,…

A: The company has initially 10% share. The probability that a customer will stick to the brand of the…

Q: (a) If it has an emergency locator, what is the probability that it will not be discovered? (b) If…

A:

Q: The given table indicates the transactions at a bank for one teller for one day. Letting C represent…

A:

Q: a. both cards are kings b. a spade and a club? c. a face card and a card less than 5 (ace is…

A: We know that There are 52 cards in the deck divided into two colour i.e red(26) and black (26).…

Q: how can I enter this data in spss?

A: The frequencies are 6, 14, 9 and 7 and the proportions are 0.30, 0.25, 0.25 and 0.20.

Q: The weather in Columbus is either good, indifferent or bad on any given day. If the weather is good…

A: Given information: i) If there is a good weather today, then there is 60% chance that tomorrow will…

Q: 2. The finished inside diameter of a piston rine is normally distributed with a mean of 10 cm and a…

A: From the provided information, Mean (µ) = 10 Standard deviation (σ) = 0.03 X~N (10, 0.03) Here X be…

Q: Suppose that based on symptoms a patient has, his doctor is 60% certain that the patient has a…

A: Given that   We have to find P(A1/E) which is lies between 60% to 85% not more than 85%

Q: You and 5 of your friends decide that you would enroll to the National Engineering University. But…

A: From the provided information, Sample size (n) = 6 Probability that one of you pass the exam (p) =…

Q: Demand for walnut fudge ice cream at the Sweet Cream Dairy can be approximated by a normal…

A:

Q: If A and B are two events with P(A) = 2/3, P(B) = 1/5, P(A n B) = 1/15 then Find P(ANB)

A: Answer: From the given data, P(A) = 23 P(B) = 15 P(A∩B) =115

Q: 17.5, 17.2, 17.3, 17.2, 17, 16.7, 16.7, 16.7, 17.1, 16.8 Find the sample mean, median, and mode(s).…

A: Followings are the Explanation of the question    Let X be the Price of silver, Sample Size = 10…

Q: 2. Consider an experiment of rolling five dice. (a) [1 (b) What is the probability that the five…

A: Given,no.of blue marbles=8no.of red marbles=10no.of green marbles=12Total no.of marbles=30

Q: Deer ticks can be carriers of either Lyme disease or human granulocytic ehrlichiosis (HGE). Based on…

A: Given data Lyme disease =0.14 Huge disease = 0.08 Lyme/huge = 0.08

Q: Carol bought sunscreen with a spf 30 label. The label claims it block about 97% of the sun's uv…

A: Carol bought sunscreen = spf 30 Now label claims :  It blocks 97% uv rays We have to calculate claim…

Q: An un contains 4 white balls and 6 red balls. A second um contains 7 white balls and 3 red balls. An…

A: It is given that the probability of selecting the first urn is 0.9.

Q: elsewhere i) Find the conditional distribution of the likelihood function given the function of the…

A:

Q: In how many ways can 7 people line up for tickets to a show? Please just type in a number in the…

A: It is given that Number of people to line up = 7

Q: 3. Conditional Probability. Assume that .05 percent of the population is sick with disease X.…

A: Given: Let D denote that population has disease X And "T" denote that case were test accurate…

Q: A certain manufacturing company encourages it's employees to practice zero tolerance when it comes…

A: Hint: Covert percentage into numbers and use classical definition of probability to get the desired…