Discrete Probability: The student council is selecting six teachers to judge a talent contest. There are eight men and nine women available to be chosen. What is the probability that three men and three women are selected?

Q: In a deck of Uno cards, there are 76 number cards, 24 action cards, and 8 wild cards. If you select ...

A: It is given that Number of number cards = 76 Number of action cards = 24 Number of wild cards = 8 To...

Q: calculate the expected value of X.S

A: A cubical die is biased. The numbers one to five are equally likely to land face up, but six is twic...

Q: 1. In how many ways can 8 students be seated in a row of 8 seats if 2 of the students insist on sitt...

A: We have to find how many ways can 8 students be seated in a row of 8 seats if 2 of the students insi...

Q: TOPIC: PROBABILITY OF INDEPENDENT AND DEPENDENT EVENTS 7) A math club with five male senior members...

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Q: Find the area below z=1.5 Draw the graph. Please show your complete solution. Please write the solut...

A: We have given that.   X~N( μ , ?^2 )   μ=0     , ?=1  for standard normal    Z-score =( x - μ )/?  

Q: 27. A discrete random variable Y has a probability distribution as follows: Y 1 2 10 15 P(Y = y) 0.2...

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Q: a survey of 150 freshman business students at a local university produced the results listed below. ...

A: 35 took history;42 took science;43 took religion;19 took history but not science;14 took science and...

Q: Consider an ordinary deck of 52 playing cards with four suits (hearts, spades, diamonds, clubs) and ...

A:   Given problem Given that   Consider an ordinary deck of 52 playing cards with four suits ( hearts,...

Q: Then: (a) The probability that a randomly chosen student from the class got B is (b) The probability...

A: Here Given  Total Number of students=1+3+8+7+6=25  

Q: п n 9. Using the Binomial Theorem, show that Σ = n 2"-1. k k=0

A: We need to show that- ∑k=0nknk = n2n-1

Q: Normal probability tables typically list z-score values between -3.49 and 3.49 O True O False

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Q: A box contain 8 red and 6 green balls. In how many ways can 3 balls be drawn such that 2 is red and ...

A: GivenA box containNo.of red balls = 8No.of green balls = 6Total no.of balls = 14

Q: In how many ways can a person select seven party guests from 12 women if he is to avoid having a par...

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Q: For all parts of this question, assume that the log of GDP per capita is normally distributed with a...

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Q: A safe lock is formed of 2 different letters followed by 4 different digits. How many passwords can ...

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Q: Consider an urn containing 1000 balls. Suppose that the balls are numbered from 1 to 1000. Consider...

A: Given that  Total number of balls =1000 Suppose that the balls are numbered from 1 to 1000.  Let S d...

Q: A pair of six-sided dice is rolled. What is the probability that the sum is 7 [ Choose ] the sum is ...

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Q: How many non-negative integer solutions (O is allowed) are there to r +y+ z = 24?

A: The given equation is, x+y+z= 24 We know that, For equation,  x1+x2+......xr=n  There are n+r-1Cr-1 ...

Q: e The Scholastic Aptitude Test (SAT) contains three parts: critical reading, mathematics, and writin...

A: For the given data Perform Anova: Two-Factor Without Replication

Q: Construct a 98% confidence interval to estimate the population mean when x= 131 and s = 34 for the s...

A: We have given that  Sample mean = 131 Sample standard deviation s=34  

Q: Paul applies to sell souvenirs at a sporting event. He may be assigned to any of sections A through ...

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Q: particular fruit's weights are normally distributed, with a mean of 282 grams and a standard deviati...

A: We have given that.   X~N( μ , ?^2 )   μ=282   , ?=24   Z-score =( x - μ )/?

Q: Listed below are the summaries of the scores of two basketball players coming from two competing tea...

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Q: Expected values and Binomial distribution 9. A Random Variable X can take only two values, 1 and 2; ...

A: Let X be the random variable having probability mass function is,  X 1 2 P(X=x)  0.8 0.2 The...

Q: Forecasting. Using X =20 and P = 5 as reference points,             A. Calculate a point forecast o...

A: A. Consider, the regression equation is, From the output, the regression equation is, Sales=17.6836...

Q: One die is rolled. List the outcomes comprising the following events: (make sure you use the correct...

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Q: Use the table to the​ right, which shows the age distribution of those who earned less than minimum ...

A: Obtain the probability that the person is younger than 55. The probability that the person is younge...

Q: Does the background music affect the behavior of supermarket shoppers?  An experiment to answer this...

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Q: A bag contains 4 green balls and 6 white balls. If 2 balls are drawn simultaneously at random, what ...

A: Note: Hi, thank you for the question. As per our company guideline we are supposed to answer only fi...

Q: 0.4 A 0.6 0.2 0.2 E 0.5 B. 0.8 F 0.3 0.6 E C 0.4

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Q: Henry has an 8-sided die that he rolls a total of 40 times. He rolls the number 5 a total of nine ti...

A: Given information: Henry has an 8-sided die that he rolls a total of 40 times. He rolls the number 5...

Q: A bowl contains five red balls, six white balls, and four green balls. In how many ways can six ball...

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Q: In a recent year (365 days), a hospital had 5642 births. a. Find the mean number of births per day. ...

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Q: Consider an experiment of tossing a coin thrice. Match the answer to the indicated concept. Sample S...

A: Given that  A coin tossed thrice 

Q: It stated that there is significant difference between the observed and expected data A. Alternative...

A: Hypothesis :- The statement about population conducting the study design is called as a hypothesis T...

Q: In a party, ten chairs are positioned around a circular table. In how many ways can ten people be se...

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Q: in hours) that teenagers spend playing video games per week. The distribution is approximately Norma...

A: Let X be the  teenagers spend playing video games per week  X~N(mean=14, standard deviation=4)   

Q: 8 customers (treated as distinct individuals) choose seating from 4 different types: 3 window, 2 mid...

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Q: In 1898, L. J. Bortkiewicz published a book entitled The Law of Small Numbers. He used data collecte...

A: GivenMean of 0.61 λ=0.61 in a yearLet "x" be the death in a corps in a yearx~Poisson(λ=0.61)P(X=x)=e...

Q: The Zagat Restaurant Survey provides food, decor, and service ratings for some of the top restaurant...

A: Given n=3 P=1/3

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

A: We have given that the assets of four wealthiest people in a country are 39, 33, 29 and 13. The 16 d...

Q: Two unfair coins, both favoring heads, are tossed simultaneously for many trials, with the results s...

A: It is given that Number of times two head occurs = 63 Number of times one head and one tail occurs =...

Q: A production process manufactures electronic components with timing signals whose duration follows a...

A: Critical values are calculated by table 

Q: 3. A random sample of size 16 is taken from a normal population with mean u. If the sample mean is 6...

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Q: Typical values for alpha generally range from 1% to 10% for hypothesis testing. Select one: O True O...

A: Alpha represents significance level 

Q: Find the corresponding area between z=0 and draw the graph. z= 3.00

A: Let Z follows N(0,1). We will use Std. Normal table to find the required area.

Q: An internal study by the information technology department at a company revealed company employees r...

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Q: QUESTION 12 A continuous random variable X has probability density function f(x)=6x^2-a for 0<x<1 an...

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Q: Direct evidence of Newton's universal law of gravitation was provided from a renowned experiment by ...

A: Given data: 5.36,5.29,5.58,5.65,5.57,5.535.62,5.29,5.44,5.34,5.79,5.10,5.27,5.39,5.42,5.47,5.63,5.34...

Q: The marginal distributions of two random variables X and Y, together with some values of their joint...

A: Solution-: We have following table:   Y=1 Y=2 Y=3 Total X=1 - 0.08 - 0.20 X=2 - 0.32 - 0.80 ...