In the statistics, there 20 Malays, x Indians and 10 Chinese's students in a seminar and find the probability of choose a Malay student is 9

Q: Suppose x~N(4,6), what is the approximate probability of x>5 P(X>5) Round to four decimals

A: Answer: From the given data, X follows N(4,6) Mean (μ) = 4 Standard deviation (σ) = 6 X follows…

Q: Calculate the expected value E(X) for the given random variable X. Select 13 cards without…

A: From the provided information, Total cards in standard deck = 52 13 cards selected without…

Q: Mr Wong drives to work every morning. There are two routes for him to choose from. The probability…

A:

Q: C₁=-47³1-37²² +127²7²-67¹. Problem 3.44. Consider the probability density given by (2a)-¹ for x≤ a…

A:

Q: Suppose we roll one die repeatedly and let N; be the number of the roll on which appears. Find the…

A:

Q: What is the probability of a stone hitting one of the glass panes?

A: A door is 7 'x 4'. There are 4 glass panes in the door that measures 3' x 1'. Probability =…

Q: As part of a fundraiser, raffle tickets were sold to participants for a chance to win a gift card in…

A: The total number of raffle tickets sold is 150. The 9 tickets will be chosen that award $5 each The…

Q: Fill in the rest of the joint distribution so that X and Y are independent. There are two possible…

A: Fill in the rest of the joint distribution so that X and Y are independent. There are two possible…

Q: (a) Find E[R]. Express your answer in terms of p and/or n. (b) (Extra Practice. Not Graded.) Find…

A: (a) Given: Let Xk denotes indicator variable at Kthtoss,head has appearedHere, k = 0,1,2,...,n  On…

Q: Daniel and Edwin had a total of 500 coins. After Daniel spent 3/7 of his coins and Edwin spent 7…

A: Daniel and Edwin had a total of 500 coins. After Daniel spent 3/7 of his coins and Edwin spent 7…

Q: Suppose A and B are two events, P(A)=0.36, P(B)=0.41 and P(A and B )=0.28 Find the P(A|B) Round…

A: We have given that. P(A) = 0.36, P(B) = 0.41 and P(A and B ) = 0.28

Q: part c is not correct i

A: The given table represents the security analyst’s expected return on two stocks and the market index…

Q: Seven people (three women and four men) arrange themselves randomly in seven consecutive seats in a…

A: Given that There are 3 women and 4 men

Q: Find the probability of drawing heart from Standard deck of cards and suit after then drawing the…

A: A standard deck consists of 52 (= n) cards.

Q: Let f(x, y) be the joint probability density function of X and Y defined by x) = {².- Find Cov(X,…

A: The value of Cov(X,Y) is obtained below as follows:   From the given information, the joint pdf is,…

Q: Consider 10 independent tosses of a biased coin with the probability of Heads at each toss equal to…

A: Given that 10 independent tosses of a biased coin with the probability of Heads at each toss is p.…

Q: The weight of laboratory mice follows a normal distribution, with a mean of 0.68 ounce and a…

A: Answer  Mean =0.68 Standard deviation =0.02

Q: You are to model the daytime temperature of the Mojave desert during the summer time. Temperatures…

A: Let X be the temperature during the desert day. From the given information, X follows normal…

Q: Setting M = max(X,Y), thus the distribution table of Mis (

A: here given joint probability distribution of x and y M = max(x,y)

Q: a- Probability that at least one of them is able to solve the problem? b- Students A and Students C…

A: Here  P1 = probability that student A solved problem = 1/3 P2 = probability that student B solved…

Q: There are 9+4+7+6+12+4 = 42 territories total. If you pick 3 different territories uniformly at…

A: In the board game Risk, the world map is divided into six continents, and each continent is broken…

Q: Your manufacturing plant produces air bags, and it is known that 10% of them are defective. Five air…

A: Let X be the number of defective bags. The manufacturing plant produces air bags, and it is known…

Q: Problem 4. Let X = (X₁, X2,..., Xn) be i.i.d. where each X; has proba- bility mass function P(Xį =…

A: We have given function with pmf P(Xi=xi)=(θ2)|xi|*(1-θ)1-|xi| where xi∈{-1,0,1} and 0≤θ≤1

Q: Determine the critical values for these tests of a population standard deviation. (a) A right-tailed…

A: The sample sizes, degrees of freedom and the level of significance are given

Q: Determine whether the following examples are discrete or continuous data sets. Write "DISCRETE" for…

A:

Q: Let (Ω, F, P) be a probability space and let A, B, C be events with P(C) > 0. We call A and B…

A: ANSWER: (a) To show that conditional independence can be understood as independence on P˜ (Ω, F)…

Q: Find P(-1.18 < z < 1.18). Type your answer...

A: Z~N(0,1) then find  P(-1.18&lt;Z&lt;1.18)

Q: D. What is the mean of the probability distribution E. What is the standard deviation of the…

A: We have to find d...Mean of the probability distribution e... Standard Deviation of distribution

Q: Stock Market Gyrations The following chart shows the day-by-day change, rounded to the nearest 100…

A: Given the chart shows the day-by-day change, rounded to the nearest 100 points, in the Dow Jones…

Q: A customer pays $4 to play a game in which a single card is drawn from a standard deck. He wins $5…

A: It is given that he wins $5 if a face card is drawn, wins $8 if an ace is drawn, and $2 if a…

Q: A fitness center is interested in finding a 98% interval for the mean number of days per week that…

A: Sample size(n)=239 sample mean(x¯)=3.2 Standard deviation(s)=1.6

Q: 6. (1) Suppose that A, B, C are independent, and P(A) = 0.1, P(B) = 0.2, P(C) = 0.3, Then the…

A: Here given that A , B and C are independent events ,  p(A) = 0.1 ,so  p(A') = 1 -p(A) = 0.9 p(B) =…

Q: After a genetics experiment on 60 pea plants, the number of plants having certain characteristics…

A: There are 60 pea plants. Consider A denotes the plant is tall, B denotes the plant has green peas,…

Q: Identify the sampling method used in the following. 1. The analyst needs a sample of size 50 from a…

A: “Since you have posted multiple questions, we will provide the solutiononly to the first question as…

Q: In a survey of 100 randomly selected dentists, 28 dentists recommended Pearly brand over the other 5…

A: The random variable X is the dentists recommended Pearly brand toothpaste The total sample size is…

Q: Suppose X₁, X2, ..., Xn are i.i.d expoential random variables with parameter A. Let Z = EX₁. Show…

A:

Q: If the probability of a machine producing a defective part is 0.05, what is the probability of…

A: Let, X be the number of defective parts producing out of n= 100 sample. Where,    Probability of…

Q: You and your friend carpool to school. Your friend has promised that he will come pick you up at…

A: A random variable X~U(3, 13) f(x)=113-3      ;  3≤x≤13 f(x)=110     ;   3≤X≤13 Cumulative…

Q: Consider the following table, which gives a security analyst’s expected return on two stocks and the…

A: Beta of aggressive stock = (2.5-27)/(8-20) = 2.04167 Beta of defensive stock = (4.3-14)/(8-20) =…

Q: A shoe store developed the following estimated regression equation relating sales to inventory…

A: the regression equation: y^=25+10x1+8x2

Q: Question (d) please

A: λ=3.5

Q: It is given that 5% of the flower pots arriving to the florist are broken. Find the probability when…

A:

Q: Management selection. A corporation plans to fill 2 different positions for vice-president, V₁ and…

A: Plant A has 8 officers. Plant B has 6 officers.

Q: A population of 2,800 students from a certain region has normally distributed National Examination…

A: We have given that  Mean(µ) = 90 Standard deviations (σ) = 6X ~ N (µ, σ )= N(90, 6) n = 38 We find,…

Q: Management proposed the following regression model to predict sales at a fast-food outlet. y = ?0 +…

A: Let, the model is given as- y=β0+β1x1+β2x2+β3x3+e where, x1 denotes the number of competitors within…

Q: Conditional Probability in 6-Card Poker 7) Compute the probability of getting 4-of-a-kind if there…

A: 7)  Conditional probability in a 6 card Poker. Total number of hands in poker = 6 Total number of…

Q: What is the probability they were correctly matched?

A: Thirteen of your graduation gift thank-you note/envelope pairs were randomly matched withoutchecking…

Q: A store runs a sale exclusively for their club members every 20 days. If Marcus joins the club on…

A: A store runs a sale exclusively for their club members every 20 days. If Marcus joins the club on…

Q: Mrs Chan is planning to go shopping at the shopping mall. The probability that she will purchase…

A: Color Number of balls in the box Prize Red 2 A gold coin Blue 10 $100 cash coupon Yellow 28…

Q: *** a. After identifying the 16 different possible samples and finding the mean of each sample,…

A: N = {41, 26 , 22 , 16} n= sample size =  2 Here total possible sample of size  2 = Nn = 42 = 16