The random variable X has probability density function f(x) given by: f(x) = }x-1 2

Q: If a car agency sells 50% of its inventory of a certain foreign car equipped with an airbag, find a ...

A: P (X = x) = P(x) = nCx Px (1-P)n-x, x = 0, 1, 2,  

Q: Stephanie is shelving books in a display in the school library. She has 3 different books with 4 cop...

A: There are 3 different books with 4 copies of each.

Q: What is the probability of rolling, on a fair dice a multiple of 3 given that an even number was dra...

A: We have given that  The sample space is S = { 1, 2, 3, 4, 5, 6 }.The total number of outcomes = 6   ...

Q: In how many ways can a person select seven party guests from 12 women  if he is to avoid having a pa...

A: Here we will use the concept of Combination

Q: We have found that the Chi-square computed is greater than the Chi-square table value. O The experim...

A: Chi square test is used to understand the association between the two categorical variable. It is ca...

Q: Given that P(4) = 0.2, P(B)= 0.7, and P(A|B) = 0.12. Then P(A B)= 0.233 0.184 O None of other option...

A: Given P(A)=0.2P(B)=0.7P(A|B)=0.12

Q: Example 11. In a study on patients, the following data were obtained. Find the arithmetic mean. Age ...

A:

Q: Megan has a 100-song playlist on her phone that consists of 25 country songs, 50 rock songs, and 25 ...

A: The number of county songs is 25, the number of rock songs is 50 and the number of rap songs is 25.

Q: QUESTION 13 In the video game Animal Crossing: New Horizons, you can also catch different kinds of b...

A:

Q: On a Funopoly game board, property values (including railroads) range from $60 to $400. Additionally...

A: Required probability is P(Low value or on a lucky card)

Q: Ane the events E and F the event "the "sum, is even. independent ? Explain

A: Here two dice are rolled  So Total possible outcomes  = 6×6 = 36

Q: 3) A sports commentator claims that 45% of all football injuries are knee injuries. If this claim is...

A:

Q: How many 12 digit numbers can be formed from 4 ones, 2 twos, 3 fives, and 1 six and 2 nines?

A: We have given that  1 = 4 times 2 = 2 times 5 = 3 times 6 = once9 = 2 times

Q: For every a, 0 > 0. i) Derive the expected value of X. i) Derive the variance of X.

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Q: A production process manufactures electronic components with timing signals whose duration follows a...

A: Critical values are calculated by table 

Q: Let X be a continuous random variable with the following cumulative distribution function: x 2 Then ...

A: We have given that  Cumulative distribution function. F(x) First i want convert cdf to pdf  Differen...

Q: A shipment of 40 computers are unloaded from the van and tested. 6 of them are defective. In how man...

A:

Q: Let X be a discrete random variable with the following PMF 0.1 for a = 0.2 %3D 0.2 for a = 0.4 %3D 0...

A: The probability mass function gives the probability at each possible value of a discrete random vari...

Q: A four-digit number is to be formed from the digits 0, 1, 2, 3, 5, 7, 8, and 9. How many four-digit ...

A: The digits are 0, 1, 2, 3, 5, 7, 8, and 9.

Q: 44. A regression analysis yields the line ŷ = 32 + 0.4x. One of the subjects, Racheal, has x = 60 an...

A:

Q: There are 18 males and 14 females in a classroom. A president, secretary and vice-president must be ...

A: Given that  Number of males = 18 Number of females = 14 Total number of people = 32   We know that  ...

Q: TOPIC: PROBABILITY OF INDEPENDENT AND DEPENDENT EVENTS 7) A math club with five male senior members...

A:

Q: A manufacturer of wood screws periodically examines screw heads. Subgroups of 300 screws were select...

A: a) P-Chart From the given data Observations di pi= di /n 1 19 0.063333 2 16 0.053333 3 11 0...

Q: e The Scholastic Aptitude Test (SAT) contains three parts: critical reading, mathematics, and writin...

A: For the given data Perform Anova: Two-Factor Without Replication

Q: A manager wants to award prizes for 1", 2nd and 3 to his team members according to number of new cli...

A: Given,The team is formed of 20 members ,

Q: Let X be a continuous random variable with the following cumulative distribution function: x2 Then P...

A: We have given that  Cumulative distribution function ( CDF) F(x) = cumulative distribution function....

Q: Expected values and Binomial distribution 5. Alex takes a multiple choice quiz in his Anthropology 1...

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Q: A box contain 8 red and 6 green balls. In how many ways can 3 balls be drawn such that they are all ...

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Q: There is a p(x1) = 0.4 probability to observe x1 = 10 and p(x2) = 0.6 probability to observe  x2 = 5...

A: We have given that  X 10 5 P(X) 0.4 0.6

Q: dx heorem 1.7.1 is convergent if and only if µ < 1. (x – a)H a

A:

Q: How many ways can three students be selected at random such that NO student comes from Luzon and Min...

A: The geographical distribution of the hometown of 80 students of PUP is given as: 50 from Luzon, 10 f...

Q: your Suppose one of these kinds of fish is caught at random. Determine each of the following and hun...

A: We have given that the information in cross tabulation. The total number of fish are 42.

Q: Purchased Gum Kept the Money Students Given Four Quarters 26 13 Students Given a $1 Bill 18 35

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Q: Angelee has to answer any six problems on a test consisting of ten problems. In how many different w...

A: Given that  Number of problems test contains (n) = 10 Angelee has to answer questions (x) = 6   Numb...

Q: Question 3 Assuming that births in PGH occur randomly at an average rate of 0.8 births per hour. Wha...

A:

Q: probability or drawing standard deck of cards, given that the first card is an ace? The cards are no...

A: Given that the first one is Ace there are a total 51 cards remaining in the deck with 3 Aces , so dr...

Q: The probability that machine A will be perform- ing a usual function in 5 years' time is 1/4 while t...

A:

Q: TOPIC: CONDITIONAL PROBABILITY 6) A pair of dice is rolled and the sum of the dice is recorded, det...

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Q: Consider the discrete random variable X given in the table below. Calculate the mean, variance, and ...

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Q: 8. Theorem 1.7.4 x -le* dx is convergent if and only if n > 0.

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Q: Jeynysha has a Shape Bucket with a trapezoid, right triangle, scalene triangle, parallelogram, squar...

A:

Q: Then: (a) The probability that a randomly chosen student from the class got B is (b) The probability...

A: Here Given  Total Number of students=1+3+8+7+6=25  

Q: A class is consist of 12 boys and 10 girls. In how many ways can the class elect 4 members of a cert...

A: We have given that the class consist 12 boys and 10 girls. Total number of members = 22   Combinatio...

Q: 4) In Toronto, Canada, 55% of people pass the drivers' road test. Suppose that 100 people take the t...

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Q: A community service award will be given to one of the 10 grade 7, 6 grade 8, 12 grade 9, and 15 grad...

A:

Q: ohe point in the game you have narrowed the pessibilities down to 3 prople, 5 weapons, and 3 rooms. ...

A: Clue is a board game in which you must deduce three details surrounding a murder. In the original ga...

Q: How many six-digit even numbers less than 200 000 can be formed using all of the digits 1, 1, 2, 2, ...

A:

Q: A radar system is designed such that the probability of detecting the presence of an aircraft in its...

A: Let is define some events A : aircraft is present in the range. B : aircraft is not present in the r...

Q: What is the probability of rolling, on a fair dice a number greater than 4?

A:

Q: The probability distribution for the number of students in Statistics classes offered at a small col...

A: