Find a constant C such that p is a probability density function on the given interval and compute the probability indicated. p(x) = on [0, 0) (x + 3)³ (Use symbolic notation and fractions where needed.) C = P (0 < X < 1) =

Q: 1. Given the following Bayes network, Compute R(A=T, C=T) A P(B) P(-B) B P(A) P(-A) F 0.4 T 0.01 0.6…

A: Given

Q: John was born on February 28, 1999. It was a Sunday. February of that year had only 28 days, and the…

A: John’s birthday on 28 February 1999. Jacks birthday on 29 the February 2000. The total number of…

Q: Three cards are drawn from a shuffled deck of cards. Make a probability distribution where random…

A: Introduction: Denote the random variable, X as the number of diamonds obtained when n = 3 cards are…

Q: per day. If it is fair, he can lose $6 per day What is his expectation if the probability rain is…

A: Given an umbrella salesman can earn $30 per day. If it is fair, he can lose $6 per day. Find…

Q: A lottery has balls numbered 1 to 50 and six balls are drawn. You win first prize if you select all…

A: Given that - A lottery has balls numbered 1 to 50 and six balls are drawn. You win first prize if…

Q: At a company a central computer is used in half of the working time in accountancy related to…

A:

Q: Find the probability that over a period of one year, a family runs their vacuum cleaner between 80…

A: here use given probability distribution x and unit of x is 100 hours

Q: (a) What is the probability that none of the pens in a packet will be defective? (b) What is the…

A: The FLOW RITE pen company knows that the pens it produces will be defective with probability 0.03…

Q: is the probability that all books within the same subject will be adjacent?

A: here total books  6+5+4+3 = 18  here use total arrangements

Q: The following are the result of the survey made by the quality control department in a certain…

A: see the attachment...........

Q: The joint density function for x, y is given by kxy for 0<x <ys6 f(x, y) = otherwise. Determine the…

A: K=?

Q: A packing machine is set to fill a cardboard box with a mean average of 16.1 ounces of cereal.…

A: Given that.   X~N( μ , ?^2 )   μ=16.1  , ?=0.04   Z-score =( x - μ )/?   1 Pound = 16 ounces

Q: 3. For her birthday, Karla received a new wardrobe consisting of 5 shirts, 3 pairs of pants, 2…

A:

Q: 2. Suppose that a box initially contains b black balls and w white balls. In each step, we select a…

A: Box -  (  b black balls and w white balls) One ball drawn, put it back with one new of same colour.…

Q: Let X1, X2, ..., X144 be independent identically distributed (i.i.d.) random variables, each with…

A: Let be independent identically distributed random variables each with expectation The standard…

Q: A person has a cough and flu-like symptoms and gets a PCR test for COVID-19, which comes back…

A: Sensitivity of a screening test can be define as the percentage of cases in which the test result is…

Q: Combinatorics logic Solution with full steps A "quarte flush" is a hand containing four cards of the…

A:

Q: 15%of patients in a clinic have Covid-19. 50 percent of the clinic’s patients are hypertensive.…

A: The probability that an event occur is computed by taking the ratio of number of favourable outcomes…

Q: 2. Nine impact wrenches are to be divided evenly among three assembly lines. a.) In how many ways…

A: Let us assume there are three objects A, B and C. The different ways in which these objects can be…

Q: [Q3] A sample of 200 people are classified as below. If a person is picked at random from this oup,…

A: Given that    Male Female  Elementary  38 45 Secondary  68 50 College  22 27

Q: Let X denote the reaction time, in seconds, to a certain stimulant and Y denote the temperature (°F)…

A: Introduction: The joint probability density function, f (x, y) of the two continuous random…

Q: 5. Six ideas were shortlisted by the analysts for possible funding. Mr. Salvador, a businessman, has…

A: Total no.of ideas were shortlisted by the analysts = 6 No.of projects to invest the money = 2…

Q: 1. A medical laboratory test ensures with a probability 0.95 the detection of COVID- 19, when the…

A: P( ill/positive )=?

Q: The Gazelles are a professional soccer team based in a large city. At the team's home matches,…

A:

Q: A coin is biased so that its chances of landing Head is 2⁄3. If the coin is flipped 3 times, the…

A: The outcomes of flipping a coin are Head and Tail.

Q: 300 students were surveyed. 100 students from 3 different grades were identified and asked if they…

A:

Q: Three-digit numbers are formed from the digits 0,1,6,7,8 and 9 if no repitition is allowed a. how…

A:

Q: Compute (a) P{X > 1, Y < 1}; (b) P{X < Y}; and (c) P{X < a}.

A:

Q: A person has a cough and flu-like symptoms and gets a PCR test for COVID-19, which comes back…

A: Given information: P(Covid- 19)=5.95%=5.95100=0.0595P(No covid- 19)=1- P(Covid- 19)=1-0.0595=0.9405

Q: 1. from P400 to P500 2. more than P450 3. less than P550 e125

A: HERE  mean  = 120 points standard deviation  =  10 points x= IQ score

Q: The flight crews of ABC Airline Company have a mean hourly wage of P480 with a standard deviation of…

A:

Q: An online gambling site offers a first prize of $45,000 and two second prizes of $10,000 each for…

A: Solution-: An online gambling site offers a first prize of $45,000 and two second prizes of $10,000…

Q: Determine the day of the week on which the following dates fell: March 15, 2003 January 29, 2003

A: Number of odds for each month January = 0 February = 3 March = 3 April = 6 May = 1 June = 4 July =…

Q: Consider the Bayesian network in the figure below. Suppose Wis instantiated (i.e, given) for w.…

A:

Q: 7. One of two boxes contains 4 red balls and 2 green balls and the second box contains 4 green and…

A: here as per NOTE given i jave calculated q.7 here define events  First box = F second Box  =S P(F) =…

Q: - へ 2.00 1- PCス

A: Solution: Let Z  be the standard normal variable with mean 0 and standard deviation 1.  Z~N(0,1)

Q: (c) given below. What is the probability that the random variable is smaller than 1? A random…

A:

Q: A restaurant prepares a salad serving containing 5 vegetables on the average. Find the probability…

A: The central limit theorem states that the sample mean follows a normal distribution when the sample…

Q: The following card game with a well shuffles deck of cards. If you draw a red card, you win nothing.…

A: In a well-shuffled deck of 52 cards, there are four suits, hearts, clubs, spades, and diamonds, each…

Q: 300 students were surveyed. 100 students from 3 different grades were identified and asked if they…

A:

Q: 17. There are 5 red, 7 white, and 3 yellow roses on the table. What is the probability of picking a…

A: 15 roses=5(red)+7(white)+3(white)

Q: If 7 cards are dealt from an ordinary deck of 52 playing cards, what is the probability that (a)…

A: There are 52 card in the deck in which they divided into two color i.e red(26) and black (26). These…

Q: Determine whether the events are mutually exclusive or not mutually exclusive then find the…

A: let S be the number from 1 to 20  S=(1,2,3,4,..........20)  A be the even numbers…

Q: A bag contains 4 red balls, 3 green balls and 5 blue balls. What is the probability of not getting a…

A:

Q: Suppliers A and B have each sent us samples of 50 items to examine. We will choose between them to…

A: The mean of a data set can be calculated by dividing the sum of observations with the number of…

Q: The binomial distribution has p = 0.6 and n = 15. Find P(X > 8). Use pmf (with the MS Excel).…

A: For the given data using binomial distribution in Excel p( x&gt;=8 ) =?

Q: Let X be the number of students who show up for a professor's office hour on a particular day.…

A:

Q: (a) Find the table for fyz. (b) Write the formula for fak, (2), z=1,2 ; then find the table for fa…

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

Q: Consider the probability distribution for number of children in local families. Probability…

A: The probability distribution table shows the number of children in local families and their…

Q: 6. Consider a normal distribution whereu = 80 and o 8 and answer the following: %3D a. If x 72, what…

A: