Suppose 40% of YXZ University students commute to campus, 65% are from out of state, and 80% either commute to campus or are from out of state. Draw a Venn diagram, then determine for a randomly selected student: a) P(commutes and is from out of state) b) P(commutes | is from out of state)

Q: A post office has three clerks, each of whom is serving a customer. The service times are i.i.d.…

A: Here given that a post office has three clerks, each of whom is serving a customer. Service times…

Q: estaurant in Ohio, the number of minutes that diners spend at the table has a major impact on the…

A: X~N( μ , ?)μ=89 , ?=17Z-score =( x - μ )/?

Q: According to a university's report, only 35% of all surgical operations at that time required an…

A: Given,The percentage of surgical operations requiring an overnight stay at a hospital is = 35%.So,…

Q: Question: Starting with a scrambled puzzle, if we proceed by randomly choosing moves, what is the…

A: Examine the following 3-square random procedure. The transition probability matrix and the state…

Q: how many ways can first second and third prizes be awarded in a contest with 530 contestants?

A: To determine the number of ways to award first, second, and third prizes in a contest with 530…

Q: A bowl contains 10 chips where only one is red. Draw chips from the bowl without replacement until…

A: We are given that a bowl contains 10 chips and only one is red. Draw chips from the bowl without…

Q: A luxury car dealer is considering two possible locations for a new auto mail. The rent on the south…

A: nx-barsNorth side14596South side12517

Q: wo random variables, x and y, with values 0, 1, or 2, have the joint probability mass fun n in the…

A: We have a joint probability mass function of two random variable X and Y is given as…

Q: A chemical system that results from a chemical reaction has two important components among others in…

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

Q: The average time it takes a salesperson to finish a sale on the phone is 9 minutes and is…

A: 2c) According to the given information,Mean, μ = 9 minutes.Let X be a random variable represents the…

Q: Consider the following Venn Diagram, depicting the data from a survey of random customers who…

A: The given Venn diagram depicts the data from a survey of random customers who visited a local small…

Q: Q 4.4. An individual picked at random from a population has a propensity to have accidents that is…

A: Given that the random variable Y has the gamma distribution with shape parameter and rate parameter…

Q: shipment contains 14 televisions, of which two are defective. A sample of three televisions is…

A: A shipment contains 14 televisions, of which two are defective.Total = 14Defective = 2Non defective…

Q: SAT scores are normally distributed with mean = 1000 and standard deviation σ = 200. 15) Take a…

A: SAT scores are normally distributed with mean and standard deviation :mean = 1000standard deviation…

Q: A uniform random variable X has a probability density given by: 1/0≤x≤2 otherwise f(x) = The mean of…

A: Mean=1, variance=13

Q: Do bears treat their cubs equally? A random sample of 50 caretaking acts reveals that a bear with 3…

A: This is a problem of hypothesis test on chi- square test for Goodness  of fit,so we haveThe…

Q: ALGEBRA 53 12 14 16 5 ENGLISH 10 HISTORY 24 a) What is the probability that a student is taking…

A:

Q: 1: 7.8 6.1 6.7 8.5 9.0 10.0 9.5 2: 5.6 7.4 9.7 6.0 8.3 3: 6.7 7.4 5.A 7.3 5.4 6.2 4: 6.3 7.2 7.8 4.4…

A: I used Excel for calculations.H0: Ha: at least two  are unequal. (Option 3rd)Alpha = 0.05In Excel…

Q: Find the standard deviation of the following numbers (Round your answer to 4 decimal places.):  1,…

A: 1, 4, 4, 7, 7, 7, 11, 11, 14, 16, 16

Q: fx,y(x,y) = { . Express E(YX) in terms of X. . Express Var (X|Y) in terms of Y. 15x²y 0 0<x<y < 1,…

A: Let X and Y have a joint pdf

Q: 2. Suppose X and Y each have an exponential distribution with parameter a, find the joint p.d.f of X…

A: Suppose X and Y each have an exponential distribution with parameter .

Q: For the following situation, find the mean and standard deviation of the population. List all…

A: The given scores of three students in a study group are:-94,93,97

Q: a) Find the probability of exactly 32 particles arrive in a particular one minute period. b) Find…

A: A Geiger counter counts the number of alpha particles from radioactive material. Over a long period…

Q: Draw an appropriate tree diagram, and use the multiplication principle to calculate the…

A: Given,Probability of rain today, P(rain today) = 70% = 0.70So, probability of no rain today, P(no…

Q: please answer this question

A: We have to findV(X)=1λ2

Q: (a) (b) Find E(W). Find Var(W).

A: Given,let  be  independent random variables.E(Yi)=μ and Var(Yi)=σ2  for every since (a)we want to…

Q: Given A-(1, 2, 3), B-(2, 4, 6, 8) and C- (2, 3, 5, 7) find n(AUBUC) using the sum rule.

A: Given thatSets :A = {1,2,3}B = {2,4,6,8} C = {2,3,5,7}

Q: Consider the following Venn Diagram, depicting the data from a survey of college students who may…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: A New York Times article reported that a survey conducted in 2014 included 36,000 adults, with 3.68%…

A: Survey conducted in 2014 included 36000 with 3.68% of them being regular users of e-cigarettesMargin…

Q: Let T be the time from birth until death (in years) of a randomly selected member of a population. T…

A: we have given a gamma parameters as:

Q: We have a 10-character sequence where a machine selects each character of the sequence independently…

A: Given:1. Total characters =26(lowercase )+26 (uppercase )+10( digits )=62.2. Number of digits =10.

Q: Three balls are to be randomly selected without replacement from an urn containing 20 balls numbered…

A: To calculate the probability that at least one of the three drawn balls has a number as large as or…

Q: A survey of 137 UNLV students during the fall semester revealed that 91 had Facebook accounts 73 had…

A: Asurvey of 137 UNLV students during the fall semester revealed that:91 had Facebook accounts73 had…

Q: The undergraduate grade point averages (UGPA) of students taking an admissions test in a recent year…

A: μ=3.28,σ=0.18

Q: Prove that: o²x = E {X²} - [E{X}]² = M2 - M1²

A:

Q: You are the operations manager for an airline and you are considering a higher fare level for…

A: Given,Confidence level, C = 99% = 0.99Margin of error, E = 4.5% = 0.045

Q: Consider two random variables X and Y with following probability distribution functions: F(x, y) =…

A: The probability distribution function of two random variables X and Y is

Q: You went to a clinic to visit the doctor. There were 4 patients ahead of you in the waiting room.…

A: Given that there are 4 patients ahead in the waiting room. Their waiting times to meet the doctor…

Q: The equation below estimates the effect of race on the probability of mortgage denial, holding…

A: Given that,      Pr(deny=1|P/I ratio, black)=(-2.29 + 2.78 P/I ratio+ 0.71 black)where,      is the…

Q: 6. Ten cards are dealt from a standard deck. (a) What is the expected number of queens? (b) What is…

A:

Q: random variable X is given in the following table. Find the standard deviation of the random…

A: PMF of Xx-2-1012P(X =x)0.160.170.300.150.22

Q: Consider the following Venn Diagram, which was constructed based on the data from a survey of 222…

A: a)The Venn diagram of total 222 students, who have any of the three social media accounts, is…

Q: The sales for each of 200 salespeople were recorded one month. Then some of the salespeople took a…

A: The sales for each of 200 salespeople were recorded one month

Q: Find the z-scores for which 80% of the distribution's area lies between -z and z. Click to view page…

A: From the provided information,80% of the distribution's area lies between -z and z.

Q: Once an individual has been infected with a certain disease, let X represent the time (days) that…

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

Q: Let Xo, X₁,... be the Markov chain on state space {1,2,3,4} with transition matrix (1/2 1/2 0 0 1/7…

A: We are given a transition matrix and state space of a Markov chain and asked to find the limiting…

Q: Consider the following transition probability matrix: [0.6 0.2 0.2 P= 0.3 0.4 0.3 0.0 0.3 0.7 a.…

A: transition probability matrix is given:

Q: P 1) a) Find the value of zo such that P(Z > %o) = 0.5. ERN b) Find the value of zo such that P(Z…

A: (a) P(Z&gt;Zo)=0.5(b)P(Z &lt;Zo)=0.8643(c)P(−Zo &lt;Z &lt;Zo)=0.90

Q: Problem #2: Death for (x) is distributed such that the probability that an individual dies in the…

A: Probability of survival for 5 years: 35.8486%The policy pays $100,000 at the end of a quarter in…

Q: for part ii) why was for the probability of 6 or more incidents in one month, 0.12 and 015 used? is…

A: ii) Using the given table, the probability of there was atleast 6 safety incidents per month is…