A VA X has a probability density f (x) = 3x² in the interval [0.1]. Determine F (x) = p (x

Q: A catering service offers 12 appetizers, 10 main courses, and 9 desserts. A customer is to select 3…

A: 12 appetizers 10 main courses 9 desserts   A customer is to select 3 appetizers, 6 main courses, and…

Q: 2. Prove Chebyshev's Inequality: Let X be a random variable with mean and variance o². Then for any…

A: First we define the variance definition Var(X)=E[(X-μ)2] expanding the above equation…

Q: 1) Given X-N(100,36),find the value of m given P(X <m) = 0.5580 (Answer 2 decimal place)

A: From the provided information, X~N (100, 36) Mean (µ) = 100 Variance (σ2) = 36 P (X &lt; m) = 0.5580

Q: a) The probability that they prefer brand A coffee is (Round to four decimal places as needed.)…

A:

Q: Compute the indicated quantity. P(B) = = P(A/B) = 0.4, P(AB) = 0.3. Find P(B).

A: P(A|B) = 0.4, P(A ∩ B) = 0.3 then,  We will find P(B) = ?

Q: The following table shows the results of a survey of 400 authors by a publishing company. New…

A: The information provided in the question are as follows :- Total number of authors = 400 The table…

Q: Each of the letters A through J are printed on tiles that are placed in a hat. Andre selects a tile…

A: Each of the letters A through J are printed on tiles that are placed in a hat. Andre selects a tile…

Q: Supply the missing quantities. Outcome P(ANC) P(AND) = P(Bn C) = P(BND) = 0.9 Figure A B 0.4 0.7…

A: The missing values of the tree-diagram is given.

Q: How is 0.4082 changed to o.6585?

A: The value of z = 0.4082.

Q: We wish to test an effect of a drug that claimed to improves the patients with 90% of chance. The…

A: As asked by you, I have answered questions a,b and c.

Q: There are 4 sets of balls numbered 1 through 7 placed in a bowl. If 4 balls are randomly chosen…

A: There are 4 sets of balls numbered 1 through 7 placed in a bowl. If 4 balls are randomly chosen…

Q: A salesperson wants to display five bracelets in the store window. There are a total of nine…

A: Total no.of bracelets=9

Q: mine the following in parts (a) and (b): ies in the previous parts compared to the results for an

A:

Q: As a contractor, Mary Kane uses her truck primarily for business, delivering supplies from one job…

A: Calculating insurance premiums involves several factors, including coverage limits, deductibles, and…

Q: A lottery game requires that 5 different numbers are picked from 1 to 11. If someone picks all 5…

A: Using the combination formula, the number of ways to choose 5 numbers from 11 without regard to…

Q: Let Y₁, Y2, ..., Y₁ denote a random sample from the probability density function 0 0. Show that Y is…

A:

Q: How many three – digit numbers can be formed from the digits 1, 2, 5, 6, and 9 if each digit can be…

A: P(n,r)= n!/(n-r)!   where n is the number of elements in the set and r is the number of chosen…

Q: K The following data lists the ages of a random selection of actresses when they won an award in the…

A: Data is given  We have to find Test hypothesis for the claim that the actress are generally younger…

Q: Beth and Stan are among 9 representatives making presentations at the annual sales meeting. The…

A: There are 9 representatives making presentations. The event A is the Benth is the first presented…

Q: many different selections of these models and colors are possible?

A: Mrs. Wilson has decided to buy a Chevrolet Caprice or a Buick Roadmaster. She has narrowed down the…

Q: Three-Card Monte 1 placed face-down on a table in a random order. We can think having the sample…

A: X: S -&gt; R where X(s) is the position of card Q in the sequence s. Range of X: {1,2,3} Probability…

Q: 3. Consider the chance experiment in which the type of transmission- automatic (A) or manual (M)- is…

A: [a]  All the possible sets could be:- (AA,MM,AM,MA) it is similar to two side of coins like heads…

Q: Technology Results Pooled proportion: 0.40 Test statistic, z: 13.2930 Critical z: 1.2816 P-value:…

A: According to the given information in this question We need to answer all the parts

Q: A factory tests a random sample of 17 transistors for defects. The probability that a particular…

A: n=17 r=0 P=0.06 q=0.94

Q: 4. Consider the graph with 6 vertices given below and with resistances given by the numbers above…

A:

Q: An investor is considering a $25,000 investment in a start-up company. She estimates that she has…

A: The total investment is $25000. The probability of a $15000 loss is 0.05 The probability of a $20000…

Q: in the study of statistics, a joint density function zfxy) defined on a region in the xy-plane is…

A: From the given information, the joint pdf is given as,

Q: Express AUBUC as the sum of three pairwise disjoint events.

A: The researcher is specially interested to express the given event as the sum of three pairwise…

Q: Since an instant replay system for tennis was introduced at a major tournament, men challenged 1402…

A: Here from Given Information n1 =1402n2 =744X1 = 430 X2 = 212p1^=4301402 = 0.31p2^=212744 = 0.28

Q: Supply the missing quantities. Outcome P(An E) = P(An F) = P(BNG) = P(BH) = = 0.2 0.1 Figure A B U…

A: The tree-diagram with missing quantities are given

Q: You know you have 5 pairs of sock in the laundry basket. You want a pair of matched socks but can’t…

A: To guarantee that you will get a matching pair of socks, you need to consider the worst-case…

Q: Tom, John, Fred, and Bill are friends whose occupations are (in no particular order) nurse,…

A:

Q: You make a deck of 3 cards, labeling them 1, 2, and 3. You shuffle them together, then lay them out…

A: There are three cards numbered 1, 2, and 3, which are laid out in a random order one after the other…

Q: The senior class president of a large university claimed that 60% of the senior class was interested…

A: Percentage of senior class interested in going on the senior trip is 60%. Sample size is n=40, out…

Q: In this activity, you simulated selecting a random sample of 20 students from a population by…

A:

Q: Allan has a 36% chance of making his high school hockey team and a 78% chance of passing his math…

A: Let H=Allan making his high school hockey team.  M= Allan passing his math exam. P(H)=0.36 P(M)=0.78…

Q: graph with 6 vertices below. Suppose that 0 and 5 are absorbing vertices, but the random walker is…

A:

Q: What is the probability that the card drawn is a club?   (b) What is the probability that the card…

A: Here is a table showing all 52 cards in a standard deck.  In standard deck there are 4 suits and…

Q: 1. What is the response variable? evening high tide levels 2. What is the regression line equation?…

A: Day AM High (in feet), x PM High (in feet), y 1 5.6 4.8 2 5.5 4.8 3 5.4 4.9 4 5.2 5 5 5…

Q: The average retirement age in America is 66 years old. Do small business owners retire at an older…

A: The average retirement age in America is 66 years old.

Q: Find the conditional probability of the indicated event when two fair dice (one red and one green)…

A: Here, we have given problem that we have two fair dice and then we have to find the probability that…

Q: f. Find the IQR for the average of 7 cities. Q1 = ppm Q3 ppm IQR: ppm

A: (f)   The value of Q1 for the average of 7 cities is obtained below as follows:   Use TI-84…

Q: Events A1 and A2 are mutually exclusive and form a complete partition of a sample space S with P(A1)…

A: Given Events A1 and A2 are mutually exclusive and form a complete partition of a sample space S with…

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

A: The sample space associated with the dice is the collection of all possible outcomes that can come…

Q: What is the probability of winning a lottery in which you must choose 4 numbers from the numbers 1…

A: a. Assuming order is unimportant:The number of ways to choose 4 numbers out of 15 is:…

Q: A random variable X has cumulative distribution function Fx (t) = What is the range of X? t<1 1<t <2…

A: The range of X is the interval [0, 4]. This can be seen from the definition of the cumulative…

Q: Your company is considering offering 300 employees the opportunity to transfer to its new…

A: The company is considering offering 300 employees the opportunity to transfer to its new…

Q: How many different Kriyas may be created with only 5 of these poses?

A: In yoga, a Kriya is a complete set of specific poses and breathing techniques that are combined to…

Q: Suppose you take a random sample of size 64 from an exponential distribution with mean 2. Estimate…

A:

Q: Compute the probability P (DIC) using P(DNC) P(DIC)= P(C) and the appropriate table values. P(DIC)=…

A: A                    B                    C                   Total D…