Six girls and five boys wish to join a ski trip. Four of them will be selected at random. What is the probability that there will be one girl and three boys? O a) 1x3 6C1 x 5C3 1 x 3 11 C4 Ob) 1

Q: f (x, y) 1 0.05 0.05 0.00 g (x) 0.10 a. Determine the mean of X. b. Determine the mean of Y. c.…

A: As per our guidelines we are suppose to answer only three sub parts. Mean of X (E(X))=∑X.g(x)

Q: choose a number from the set {1, 2, 3, ..., 100} uniformly at random and denote this number by X.…

A: Given: 1, 2, 3, .........100 are there in a set. A number X is selected from above set. Independent…

Q: if a class has 2 freshmen, 1 shphomore, 3 juniors, and 5 seniors, what is the probability that three…

A: From the provided information, A class has 2 freshman, 1 sophomore, 3 juniors and 5 seniors. Total…

Q: The healing time for a broken clavicle is from a Normal distribution with a mean of 41 days and a…

A: Given,mean(μ)=41standard deviation(σ)=6

Q: 7. (单选题 3.0分) How many permutations of 3 different digits are, chosen from the ten digits 0 to 9…

A: The permutation and combination are a counting principle method utilized in a range of settings.…

Q: Two events A and B are such that P(A) = 0.5, P(B) = 0.3 and P(AB) = 0.1. Calculate (a) P(AB); (b)…

A:

Q: a. Determine b. Determine C. Determine d. Determine the mean of x the mean of Y the variance of X…

A:

Q: I want it through probability and random variables with maximum speed Q4: b- Find the value of the…

A: Given : x -1 3 4 F(x)  C 0.15 0.45

Q: Which of the following is correct about the events A and B?

A:

Q: The probability that none of the three bulbs in a set of traffic lights will have to be replaced…

A:

Q: Q5//Four technicians regularly make repairs when breakdowns occur on an automated production line.…

A:

Q: In how many ways can we select 6 people out of 12, ?of which a particular person is not included…

A: According to the given information, we have Total number of persons = 12

Q: Using a balanced coin, for an experiment with 3 tosses. X is the random variable that assume the…

A:

Q: Suppose that the probability that iraqi man has a high blood pressure is 0.15. If we randomly select…

A: Given,n=6p=0.15q=1-0.15=0.85A random variable X~Binomial(n=6 , p=0.15)P(X=x)=Cx6 0.15x0.856-x  ;…

Q: If y is a random variable with a mass function, its probability is defined as: y 0 1 4 9 P(y) 0.64…

A: Solution-: We have following table: y 0 1 4 9 P(y) 0.64 0.25 0.09 0.02 We want to find, (a)…

Q: Practice Problem 2: Girl or Senior? A local high school has 1400 students; 800 of whom are girls.…

A:

Q: The random variables A and B have variances 0.2 and 0.5 respectively. Let T= 5A+2B. The variance of…

A: Here given  Var(A) = 0.2 Var(B) = 0.5 T = 5 A + 2B

Q: particle is moving on the unit circle x² + y² = 1 at the constant angular ing at the initial…

A:

Q: Can anyone elplain what these jumbled numbers are supposed to tell me? Thank you!

A:

Q: (a) If the absolute measurement error within 0.5 millimeters is acceptable, what is the probability…

A: here given ,  A test instrument needs to be calibrated periodically to prevent measurement errors.…

Q: per time Q7] Suppose that in a production of spark plugs the fraction of defective plugs has been…

A: Given data  P(defective) = p = 0.02 so p(no defective ) = 1-0.02 = 0.98  Inspect two products.  We…

Q: A shipment of two boxes, each containing eight telephones, is received by a store. Box 1 contains…

A:

Q: 24/ The average on a statistics test was 78 with a standard deviation of 8. If the test scores are…

A: Given Mean=78 Standard deviation=8

Q: If the probabilities that an automobile mechanic will service 3,4,5,6,7,8 cars on any given working…

A: Given that, the probabilities that an automobile mechanic will service 3,4,5,6,7,8 cars on any given…

Q: A random variable, x, has p.d.f. f (x) given by f(x) = 2 when 0< x < 1, The expected value is…

A: Solution

Q: next problem with the production line diagnosed as being due to an initial repair that was…

A:

Q: r A continous random variable x has p.d.f.,then f(x) >;0 a O It; f(x)==0 f(x) >==0 f(x) >=1 .b O .CO…

A: fx is probably density function that must be positive.

Q: μ = 3, o² = 9, P(-6 < X < 12) a. Determine P(u - ko < X < µ+ ko) ≥ 1 − 1/k²

A: Given μ=3, population variance σ2=9, P(-6&lt;X&lt;12)=?

Q: 1. In how many ways can the position of president and secretary of an organization be  filled if…

A: HERE AS PER GUIDELINES I HAVE CALCULATED 3 SUBPARTS  here use counting Principle  there are total 4…

Q: Find the standard error of the estimate and the coefficient of determination for the least-squares…

A: The following information has been provided: x y -3 2 1 8 5 14 7 20 9 23 The least…

Q: a) A box contains 6 red balls 4 blue balls Draw two balls in a row If the draw is with the return,…

A: As per our guidelines we are suppose to answer only one question. Given,no.of red balls=6no.of blue…

Q: been met. The calculated test statistic is approximately 1.40 with an associated p-value of…

A: Solution  Given that,  Suppose a city official conducts a hypothesis test to test the claim that the…

Q: A shipment of two boxes, each containing eight telephones, is received by a store. Box 1 contains…

A: Given that there are total 8 telephone in each box and Box 1 contain two defective Phone amd Box 1…

Q: What is the probability of getting the number 5 when a fair die is thrown? C. 1/2 A. 0 B. 1/6 D. 1 .…

A: AS PER COMPANY GUIDELINE I SOLVED ONLY 1ST QUESTION THANK YOU.   Ans ; what is the probability of…

Q: A random sample of 50 employees is chosen from a company. The average salary of the 50 employees is…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: In a box containing 8 red balls, 8 green balls and 8 blue balls where 3 balls will be drawn in…

A: Answer :-  In a box containing 8 red balls, 8 green balls and 8 blue balls where 3 balls will be…

Q: Calculate the mean and variance of the random variable y, whose probability mass function is: f(y) =…

A: Farmula used E(Y)=∑YP(Y=y) Variance=V(Y)=E(Y2)-(E(Y))2

Q: A discrete random variable, y, has a probability distribution y: 6, 7, 8,9, 10,11 nd P :0.13,0.26…

A: Given See the below excel output

Q: (a) Determine the mean = (b) Determine the Standard Deviation (c) Determine the Coefficiet of…

A: here given , A concerned parents group determined the number of commercials shows in each of the…

Q: Q5//Four technicians regularly make repairs when breakdowns occur on an automated production line.…

A: Given: Four technicians regularly make repairs when breakdowns occur on automated production line.…

Q: A distribution of values is normal with a mean of 90 and a standard deviation of 5. Find the…

A: The provided information is  µ=90 σ=5 P(-a&lt;X&lt;a)=0.02…

Q: selected at random, find the probability that he/she owns a credit card, given that the employee is…

A: own CC No CC Total  Teaching  25 35 60 Non teaching 29 11 40 Total 54  46 100

Q: Q4/ The average on a statistics test was 78 with a standard deviation of 8. If the test scores are…

A:

Q: Question 6 A simple dice game involves the player paying $1 to play. Two fair six-sided dice are…

A: Two fair 6 sided die rolled. Profit and loss according to output is mentioned in question. We have…

Q: Q6/ Find the probabilities that a random variable having the standard normal distribution will take…

A:

Q: Q9] Of a lot of 10 items, 2 are defective. (a) Find the number of different samples of 4. Find the…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: What is the expected number of reds?

A: here given ,  In a box containing 8 red balls, 8 green balls and 8 blue balls where 3 balls will be…

Q: 2. For an exam given to a class, the students' scores ranged from 35 to 98, with a mean of 74. Which…

A: Given:For an exam given to a class the students scores ranged from 35 to 98 with a mean of 74

Q: 1. At the horse races, the chances of a horse winning is expressed as odds against. In the first…

A: Dear student according to the guidelines we solve only first question when multiple unrelated…

Q: 15. About 64% of the applicants pass the admission test every year. Approximately how many of the…

A: Formula E(X) = np