DISCUSSION QUESTIONS AND PROBLEMS 79 44 Using the data in Problem 2-43, determine the prob- ability of more than 3 visits for emergency room ser- vice on any given day.

Q: It is useful for Fire Departments to have a model for X =number of direct injuries occurring in a…

A: From the provided information, X 0 1 2 3 4 5 6 7 8 9 P (x) 0.08 0.09 0.09 0.14 0.18 0.16 0.09…

Q: A search committee was formed to find a new software engineer from a set of 50 applicants. The total…

A: Given information- We have given that a search committee was formed to find a new software engineer…

Q: According to an airline, flights on a certain route are on time 80% of the time. Suppose 25 flights…

A: Givenp=0.80sample size(n)=25

Q: In a typical day, I respond to 3 students emails. What is the probability that in a 5-day work week…

A: Let X denote the number of email responds and it follows Poisson distribution with parameter (λ=3…

Q: 12.52 () (f) If M~(HB) N X Y 20 02

A: From the given information, μx=0μy=0σx2=2σy2=2CovX,Y=0 Since, COV(X, Y)=0, X and Y are independent…

Q: Suppose that E and F are two events and that P(E)=0.5 and P(FIE) = 0.6. What is P(E and F)? P(E and…

A: GiveP(E)=0.5P(F|E)=0.6

Q: If P(A) > 0, P(B) > 0, and P(A n B) = 0, then the events A and B are independent. true or false?

A: Solution-: If P(A) >0, P(B)>0 and  P(A∩B)=0, then the events A and B are independent. We find…

Q: (a) What is the probability that one car chosen at random will have less than 70.5 tons Un co answer…

A: It is given that  Mean, μ = 71 Standard deviation, σ = 0.7

Q: (c) Let 7 denote the population median. Obtain the MLE of T. (Hint: First find the specific form of…

A:

Q: Consider the following 10 measurements about the cohesion of a soil: 12 kPa, 14 kPa, 15 kPa, 14.5…

A:

Q: A jar of jellybeans has three different colors of jellybeans:  green,  red, and yellow. Let’s use…

A: Given A jar of Jellybeans g Green r Red y Yellow Choosing 4 Jellybeans from the Jar The…

Q: P(B) = 0.4 / 0.6 = 2 / 3 = 0.6667  where did all the numbers in this line come from?

A: It is given that P(A U B) = 0.8, P(Ac) = 0.6

Q: Consider three basketball players: Anna, Beth, and Carolyn. The probability that Anna will make a…

A:

Q: QUESTION 6 In the hypotheses H:л=0.40, Hл>0.40, at 5 % level of testing significance. if the sample…

A: GivenH0:π=0.40H0:π>0.40α=0.05sample proportion(p^)=0.45sample size(n)=49

Q: 9. [24/396, o Unknown] Consider the following hypothesis test: Ho: u = 18 and Ha: u 18. A sample of…

A:

Q: A particular study showed that 12% of men will likely develop prostate cancer at some point in their…

A: given    event  A : have prostate cancer           B : test positive   P(A)=0.12 P(B|A)=0.95…

Q: A poll reported that 67% of adults were satisfied with the job the major airlines were doing.…

A: Given that n =15 ,p =0.67 ( b ) P( X =8 ) = ?

Q: Find the means of X and Y variables and the coefficient of correlation between them from the ff two…

A: Find the means of X and Y variables and the coefficient of correlation between them from the ff two…

Q: Obtain regression equation of Y on X and estimate Y when X=55 from the ff.

A: we have to find out the mean of X and Y

Q: 2) 30 people (Eva, Ali, Bertil,....) will (randomly) go to stand in a line. What is the probability…

A:

Q: It is estimated that 26% of all California adults are college graduates and that 32% of California…

A: It is given that 26% of all California adults are college graduates and that 32% of California…

Q: five litre bucket of water is taken from a swamp. The water contains 75 mosquito larvae. A 200 ml…

A: Given that  1 litre = 1000 ml 5 litre = 5000 ml 5000 ml of water contains mosquito = 75

Q: Given three events A, B and C such that P(An B n C) = 0 and P(C|An B) = P(C|B), show that P(A/B nC)…

A: Given three events Show that P(A/B∩C) =P(A/B )

Q: Eight gentlemen check their hats at a restaurant. a) In how many ways can the hats be returned at…

A: Given Information: Eight gentlemen check their hats at a restaurant.

Q: A spa owner classifies customers as well dressed, moderately dressed or poorly dressed, and find…

A: event  A : well dressed            B : moderately  dressed            C : poorly dressed…

Q: Hits to a high-volume website are assumed to follow a Poisson distribution with a mean of 1200 per…

A:

Q: 6.Ten percent of the tools produced in a certain manufacturing process turn out to be defective.…

A: Given information: 10% of the tools produced in a certain manufacturing process turn out to be…

Q: The lengths of tables sold at various furniture stores follow a normal distribution with u = 120 cm…

A: From the provided information, Mean (µ) = 120 Standard deviation (σ) = 15.6 X~N (120, 15.6)

Q: Let x have an exponential distribution with λ = 1. Find the probability. (Round your answer to four…

A: It is given that X have an Exponential distribution with λ = 1.

Q: The likelihood of not rejecting the null hypothesis when the null hypothesis is false is ß, the…

A: Given that  p1 = 0.50 , p2 = 0.25 , m = n = 100

Q: For the following random processes define if case that X[n] is WSS, define its mean and au a) X[n]…

A: Stationarity refers to the time invariance of some or all of the statistics of a random process such…

Q: What percentage of world population are smokers? b) What percentage of women are smokers? c) What…

A: Let us define some events  A : a person is man. B : a person is woman. E : a person is smoker. Given…

Q: Use = -15.349152, and ₁ = 0.092768 to determine the equation of the estimated regression line.…

A: From the provided information, β^0=-15.349152,β^1=0.092768

Q: The immortal jellyfish Turritopsis dohrnii is a sea creature that spends the majority of its life in…

A: Given that polyps develop into free-swimming medusa as they age, and medusae are able to return to…

Q: You are dealt one card from a 52-card deck. Find the probability that you are not dealt a club. LE…

A: given data,you are dealt one card from 52 card deck here total outcomes = n= 52 cards probability…

Q: What is the probability of getting number greater than 7 when 2 cards are drawn? With replacement…

A:

Q: K Among 8345 cases of heart pacemaker malfunctions, 493 were found to be caused by firmware, which…

A: Given X=493 n=8345

Q: Given that the cable company has decided to sell, what is the probability the influential director…

A: From given data we have : probability of influential director resigned) = 0.40 probability of…

Q: Suppose Z follows the standard normal distribution. Use the calculator provided, or this table, to…

A: z be a standard normal random variable. then z ~ N(0,1)

Q: In a survey, 25% of respondents said they watched football but not cricket, 15% said they watched…

A:

Q: 3- Remission time for a certain group of leukaemia patients (X, measured in months) Has cdf F(X) =…

A: Let X: remission time( in months) for a certain group of leukaemia patients.cdf of X is given,F(x) =…

Q: A radioactive mass emits particles according to a Poisson process at a mean rate of 3 per second.…

A: Given that, The radioactive mass emits particles according to the Poisson process at a mean rate of…

Q: As part of a statistics project, a teacher brings a bag of marbles containing 800 white marbles and…

A:

Q: The distances that aeroplanes move before coming to a stop after landing have been observed to be…

A: X= distance aeroplane moveX~N(1 km, 0.06 km)    ; μ=1 km…

Q: A flush in the card game of poker occurs if a player gets five cards that are all the same suit…

A:

Q: Let a coin have probability of heads p and probability of tails q ≜ 1−p, for some p ∈ (0, 1). The…

A:

Q: If I roll two fair six-sided dice, what is the probability that the sum is not 5?

A: It is given that two fair six-sided dice are rolled.

Q: B C 3,3,3,3,3,6 2,2,2,5,5,5 1,4,4,4,4,4 1) Suppose you roll die A and your friend rolls die B. Find…

A: Given Die A = 3,3,3,3,3,6 Die B = 2,2,2,5,5,5 Die C = 1,4,4,4,4,4

Q: K In finance, one example of a derivative is a financial asset whose value is determined (derived)…

A: We have given that P(default) = 0.07

Q: You arrive at a bus stop to wait for a bus that comes by once every 30 minutes. You don't know what…

A: Given,A random variable X~U(0 , 30)f(x)=130   ;   0≤X≤30