A university's leadership coundil is made up of 12 members: 3 are students, 4 are teachers, and 5 are deans. A newspaper reporter is planning to select two of the council members for interviews. The first member will be chosen at random, and then the second member will be chosen at random from the remaining members. What is the probability that two deans will be selected? Report your answer as an exact fraction.

Q: 3.126 Refer to Exercise 3.122. Assume that arrivals occur according to a Poisson process with an ave...

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A: GivenLife span of a specific fan is an exponential random variable  with the mean of 12 yearsf(x)=11...

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A: We have given that,  If two events E and F are not independent, then P(E and F) = ? 

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A: As per bartleby rule I solved first three sub parts only.

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Q: Find the mean, variance, and standard deviation of the following probability distribution then inter...

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A: We have given that.   X~N( μ , ?^2 )   μ=3 , ? =1.7   Z-score =( x - μ )/?

Q: 1 2 3 4 0.0 P(X 0.3 0.2 0.0 0.2 0.0 82 =x) 93 62 02 46 15

A: Given data is  x 0 1 2 3 4 5 P(X=x) 0.393 0.262 0.002 0.246 0.015 0.082

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Q: Enumerate and explain each briefly the TWO (2) Types of Functions used to express the Probability Di...

A: Discrete Random Variable:                                          A random variable X is said to b...

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A: The expectation of a discrete random variable X is a measure of central tendency of the probability ...

Q: The average American man consumes 9.5 grams of sodium each day. Suppose that the sodium consumption ...

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Q: find the mean of the numbers on the balls

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Q: The table below represents the engineering graduates (Philippines) from 2019-2021 by gender. Civil E...

A: The table shows the engineering graduates from 2019 to 2021 by gender.

Q: Of all the people applying for a certain​ job, 90​% are qualified and 10​% are not. The personnel ...

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Q: Fill in the P(X=x) values to give a legitimate probability distribution for the discrete random vari...

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Q: Using set identities to establish each of the following: 1.A̅ ∪ (B̅ ∩ C̅) = (C̅ ∪ B̅) ∩ A̅ 2.A̅ ∩ ...

A: A set is a collection of elements. Let A be a set of all vowels among the alphabets. Therefore, A=a,...

Q: Assume that the readings at freezing on a bundle of thermometers are normally distributed with a mea...

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Q: Consider the following normal distribution: 1 f(x) = exp[-1/2(x– µ)²lơ²] Show that f(x) is a continu...

A: Given:

Q: 1. It describes the amount of spread, dispersion or variability of the item in a distribution. a) me...

A: 1.Answer: b) Explanation: The variance is the amount of spread, dispersion or variability of the ite...

Q: Basketball e) Wharis une provabimy unar a student chosen at random from this group plays both volley...

A: Here total 200 students were surveyed about sports they regularly participate 

Q: Find what is asked in each problem. You may use the tree diagram or the FCP to answer the problem. U...

A: Here for given Question we will use FCP method for 3 different questions

Q: DEFINE WHETEHER ITS TRUE OR FALSE.

A: here use basic properties of normal distribution  

Q: Printed circuit cards are placed in a functional test after being populated with semiconductor chips...

A: Given data isTotal number of cards(N)=80no. cards are selected(n)=10no.of defective cards(M)=5Let "x...

Q: If an employee is selected at random, find the probability that the employee is a deli/bakery worker...

A: Here total  employees = 45 represented in table  Probability = Favorable / total 

Q: 2) Let X and Y have the joint pmf defined by f(x,y) = where 0 0.75, Y < 3). d. Show the joint CDF o...

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Q: Eight balls of different colors need to be placed in three boxes of different sizes. Each box can ho...

A: Given : N=3  and   k= 8 Number of ways =? 

Q: shipment consists of 17 cell phones, 8 of which are defective. If 5 cell phones are selected and tes...

A: We have given that  Number of consistent =17 Number of defective cell phones =8 Total number cases =...

Q: A cubic die is biased, so that for each integer n, 1 ≤n ≤6, the probability of the event {n} is p({n...

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Q: There are 6 periods in each working day of a school. In how many ways can one organize 5 subjects su...

A: * SOLUTION :-  from the given information the calculation is provided as below  

Q: Find the area of the shaded region under the standard normal distribution to the left of the given z...

A: Given

Q: Fill in the P(X=x) values to give a legitimate probability distribution for the discrete random vari...

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Q: The following spinners are spun simultaneously. What are the odds for spinning green on both? Green ...

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Q: In a society where 60% of the citizens identify as liberal and 40% of the citizens identify as conse...

A: Here we want to know given statement is true or not.

Q: Let X have an exponential distribution with mean of 1. Consider the transformation Y = exp(-X), and ...

A: Given: Mean = 1 Y=e-X

Q: The plasticity of a polyethylene is affected by the concentration of a solution. When low concentrat...

A: Here distribution is t with degrees of freedom n1+n2-2=18+18-2 =34

Q: Assume the random variable X is normally distributed, with mean u= 59 and standard deviation o = 5. ...

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Q: ne probabilities that a customer buys 1, 2, 3, 5, 8 apples each day in a grocery store are 0.20, 0.3...

A: We have given that  Probability distribution  B 1 2 3 5 8 p(B) 0.20 0.32 0.23 0.18 0.07 I wa...

Q: what is the probability of an Ace or a King card dealt on the flop( the first 3 community cards)? No...

A: Here we want to find the probability.

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Q: A building contractor buys 70​% of his cement from supplier A and 30​% from supplier B. A total of 7...

A: See below the solution