Let (f(x), f(x) be probability density functions for the random variable x, then 1>2>0; (g(x) = f(x) + (1 - 2)f(x) is a probability density function. true Error

Q: The amount of nicotine content in a certain brand of cigarettes is on average equal to 0.941 g with…

A: Given that.   X~N( μ , ?^2 )   μ=0.941    , ?=0.313   , n=61   Z-score =( x - μ )/?

Q: 5b A committee of 8 members is to be formed from a group of 7 women and 5 men. i.) Calculate the…

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Q: 24. The probability that a river flow exceeds 2000 m3/sec is 15%. The coefficient of variation of…

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Q: In three boxes are capacitors as shown in Table below. An experiment consists of first randomly…

A: Given:

Q: What is the probability that the antidote will be effective on at least 5 people? b) Calculate the…

A: The antidote called hydroxocobalamin, which is used to treat fire smoke poisoning, has a two-thirds…

Q: II. In a neighborhood of 35 homes, 25 have pets. Suppose that 6 homes are selected at random. The…

A: Solution: Let X represent the number of homes in the sample that have pet.  The probability pet in…

Q: How many ways can 11 DVDs be arranged on a shelf?

A: Given Number of ways can 11 DVDs be arranged on a shelf.

Q: 8.Suppose is the standard deviation of a esti Variable X. Using Chebyshev inequality, estimate the…

A: Given:  Random variable x with mean E(x) and standard deviations σx Then chebyshev inequality…

Q: CideROIT 7. How many ways can the letters of the word FAIR be written? A. 6 C. 18 B. 12 D. 24 8.…

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Q: If a player randomly answer a five questionnaires with five possible choices on a each question,…

A: It is given that  The random variable X i.e, correct answer follows Binomial distribution with…

Q: 4. In an organization consisting of 5 women and 10 men, a committee of four individuals is to be…

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Q: b) Suppose we pick a random card from a full deck of 52 cards. Let S = {card is an Ace, two or three…

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Q: A physicist claims that the average wind speed in a certain city is 8 miles per hour. A sample of 33…

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Q: Jacquie used an app to simulate a coin flip 40 times . it lands on heads 20 times . Based on her…

A: no: of times coin flip, n=40 no: of times head occurs, x=20  Probability of getting a…

Q: Median Class Interval 0-9 10 - 19 20-29 30-39 40 - 49 fi 6 4 8 5 7 n = < CF

A: Given data is  Class Interval fi &lt;CF 0-9 6   10-19 4   20-29 8   30-39 5   40-49 7…

Q: P(Z < 1) = 0.8413, Z = *= ¹9 x~ N(μ₁0²) if it was 1.8626 So P(Z < 2) = 0.9772 .P(μ-o<x<μ+a)= True…

A: Solution

Q: Some street foods are tested with the presence of disease causing bacteria or harmful chemicals a…

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Q: Note: For the syntax in this problem, you'll see the usual curly braces appear as the following…

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Q: 12. Automobile Trips There are 2 major roads from city X to city Y and 4 major roads from city Y to…

A: Given problem Given that    There are 2 major roads from city X to city Y and 4 major roads from…

Q: What is the probability that out of 75 babies born, at least 40 will be girls? Assume that boys and…

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Q: At a restaurant, the density function for the time a customer has to wait before ting being seated…

A: Given : The function F(t) is a valid probability density function

Q: If x G(5,4), then 2X Y = ~ 4

A: Solution

Q: The standard mean constant of the composition is.

A: Given:  E(w)=1000 &amp; E(ln*w)=3600  Then standard mean constant value ?

Q: Q4/ If the semester average: for the first semester = 8, for the second semester = 7, for the third…

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Q: John Michael buys a bag of cookies that contains 8 chocolate chip cookies, 8 peanut butter cookies,…

A: The total number of cookies is  8×4 =32. The total number of sugar cookies is 8. The total number of…

Q: What is the probability that three Poisson random independent variables A,B, C, with parameters 1,…

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Q: Hila City typically has rain on about 16% of days in February. a. What is the probability that it…

A: Given,p=0.16q=1-0.16=0.84no.of days in the month of February(n)=28Let X= no.of days will rain in the…

Q: Determine f(2) so that the given function can serve as a probability distribution of the discrete…

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Q: Part 1 of 3 Explain the steps you take when you calculate the probability for P(Z > #) using a…

A: First of all, to find the value of P(Z &gt; #), look at the sign of #, whether it is -ve or +ve. If…

Q: Giving a test to a group of students, the grades and gender are summarized below   A B C Total…

A: Obtain the probability that the student was female. The probability that the student was female is…

Q: Class Interval 0-9 10 - 19 20 - 29 30-39 40 - 49 6 4 8 5 7 n = Mi f¡Mi

A: We have given that,  Class interval  fi Mi fi*Mi 0-9 6     10-19 4     20-29 8     30-39…

Q: 3a. The Home Shine factory produces light bulbs, 7% of which are found to be defective. Write down…

A: Probability = Favorable outcomes /total outcomes  Factory produces 100% bulbs 7 % defective and 93%…

Q: The following function is cumulative distribution function. 0 x < -5 0.30 -5 ≤ x < 35 F(x) 0.80 35 <…

A: Cumulative distribution function is given. We have to calculate mentioned probability.

Q: 2. The probability that both will catch the bus within 15 minutes, given they are still waiting…

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Q: A certain security system contains 12 parts. Suppose that the probability that each individual  part…

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Q: (a) Determine the mean of X. (b) Determine the variance of X. (c) What is P(X< 4.0)? A M F M pla

A: It is given that the X has a continuous uniform distribution over the interval [2.2, 5].The pdf of…

Q: We break a stick at a uniformly chosen random location. Find the probability that the shorter piece…

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Q: My class intervals were 4.5-4.4, 4.4-4.5, 4.5-4.6, 4.6-4.7, 4.7-4.8, 4.8-4.9 Is this not correct?

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Q: 9) If the average yield of a dunum of yellow corn is 800 kg, with a standard deviation of 40 kg, and…

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Q: Let 0 denote the probability that a randomly sampled individual in some population voted…

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Q: For numbers 14-15. A sample of 150 plastic pipes were selected and subjected to shock resistance and…

A: Given data is  SCRATCH RESISTANCE SHOCK RESISTANCE   HIGH LOW HIGH 125 12 LOW 7 6

Q: At a factory that produces pistons for cars, Machine 1 produced 357 satisfactory pistons and 343…

A: Machine 1 produced 357 satisfactory pistons and 343 unsatisfactory pistons  Machine 2 produced 414…

Q: The data show the chest size and weight of several bears. Find the regression equation, letting…

A: The following information has been given: x y 36 296 56 570 50 501 39 353 49 487 42…

Q: disu 1. The probability that both will catch the bus within 15 minutes;

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Q: Solve step by step The antidote called hydroxocobalamin, which is used to treat fire smoke…

A: In order to solve this question, we use a binomial probability distribution as X = no. of people…

Q: 13. Tony has four cans of juice-one can of orange, one of pineapple, one of calamansi, and one of…

A: Note: We are supposed to solve only one question at a time. Kindly repost the other question…

Q: 7. Of 15 rats in a cage, 5 have black fur, 6 have white fur, and the remaining 4 have brown fur. If…

A: here AS PER GUIDELINES I HAVE CALCULATED FIRST MAIN QUESTION  here use basic probability rule…

Q: A bag contains 2 gold marbles, 7 silver marbles, and 20 black marbles. Someone offers to play this…

A: To find: What is your expected value if you play this game?

Q: Consider a car repair factory. The number of customers who arrive for repairs follows a Poisson…

A: Given information: Arrival rate=λ=4 costumers per hourService rate=μ=1Service time=110costumers per…

Q: The probability distribution of the discrete random variable X is given below. 3 3-x f(x) = QO'@'* ,…

A: Given f(x)=(3x)(14)x(34)3-x    , x=0,1,2,3