Show that the given formula is a probability mass function x = 1,2 7. P(x = x ) otherwise

Q: a certain game involves tossing 3 fair couns and it pays 22 cents for 3 heads, 9 cents for 2 heads a...

A: Given that  certain game involves tossing 3 fair couns   it pays  22 cents for 3 heads, 9 cents for ...

Q: Homework-1: Suppose a continuous random variable X has the following probability density e 2, x >0 f...

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Q: The probability that an evening college student will graduate is 0.4. Determine the probability that...

A: We have given that  Success of probability p =0.4 Number of trials n=5 X~binomial ( n,p)

Q: Expected values and Binomial distribution 1. A packet of carrot seeds has a germination rate of 92%....

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Q: I is used to determine the chi-square table value together with the alpha. O chi-square statistic O ...

A: We want to tell the Chi-square table value together with the alpha

Q: 2) Reliability of Testing. A certain virus infects one in every 200 people. A test used to detect th...

A: Let, Event A be the person is infected Event B be the person tests positive. P(A) = 1/200 = 0.005 P(...

Q: r=0%, Lisa wants to borrow 100 to open business. Revenue is random y=100 with prob 1/2 and y=300 wit...

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Q: The two-way table shows the number of eggs laid by 10 Rhode Island red chickens and 10 leghorn chick...

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Q: If Z is a standard normal random variable, find the value z, for the following probabilities. (Round...

A: Ww have given that Z is standard normal random variable i.e, Z ~ N(0, 1).     Note: According to Bar...

Q: Given that P(4) = 0.2, P(B)= 0.7, and P(A|B) = 0.12. Then P(A B)= 0.233 0.184 O None of other option...

A: Given P(A)=0.2P(B)=0.7P(A|B)=0.12

Q: According to Consumer Digest (July/August 1996), the probable location of personal com- puters (PC) ...

A: a) The probabilities that PC are in adult bedroom, child bedroom, other bedroom, office or den and i...

Q: Suppose a normal distribution has a mean of 98 and a standard deviation of 6. What is P(x2 104)? A. ...

A: We have given that.   X~N( μ , ?^2 )   μ=98   , ?=6   Z-score =( x - μ )/?

Q: Let A and C be two independent events such that P(A) 0.2 and P(C) 0.3 P(ĀNC) = 0.24 None of other op...

A: Given that A and C be two independent events such that P(A) = 0.2 and P(C) = 0.3 .  Than we have to ...

Q: Billy was asked to express P(85,60) as a product of numbers without factorials so he wrote the follo...

A: P(85,60)= ?

Q: The random variable X has probability density function f(x) given by: 2 5xse+1 f(x) = otherwise Then...

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Q: In how many ways can 9 individuals be seated in a row of 9 chairs if two individuals wanted to be se...

A: We label one of the two people insisting the sit next to each other as person A and the other as per...

Q: 30 teachers and students participate in a student-faculty basketball game as a fundraiser. They are ...

A: Given information:   Younger than 18 years old 18 to 30 years old More than 30 years old Stretc...

Q: .311 (Ringers are good.) Next week he plans to .267 throw 350 shoes. Assume that Bill's tosses sat- ...

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Q: 0V find The Sample space furThe experimentof throwing a Pinkdice chce anad.adefine The event Er d -T...

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Q: A data scientist tracked how many cups of coffee she drank every day at work over the course of a ye...

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Q: Expected values and Binomial distribution 4. When Stéphane plays chess against his favorite computer...

A: Given n=10 r=7 P=0.60

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: 2.A10-stop slot machine has one reel. It has the following number of symbols. Every stop has an equa...

A: First we have to generate the sample. We have to select 100 samples with replacement from the set, S...

Q: The Venn diagram here shows the cardinality of each set. Use this to find the cardinality of th set....

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Q: A bag contains 10 red marbles, 10 white marbles, and 6 blue marbles. You draw 4 marbles out at rando...

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Q: An urn contains 15 red, 25 white and 36 blue marbles. A child selects two marbles at random and with...

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

A: Here we have given that X ~ N (µ, σ )  

Q: 45. A regression analysis yields the line ŷ = 18 + 0.25x. One of the subjects, Mary, has x = 40 and ...

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Q: The probability that a student will pass mathematics is 0.8, that she will pass physics is 0.65 and ...

A: Let M be the event for pass in mathematics  P be the event for pass in physics  Given  P(M)=0.8, P(P...

Q: Suppose that X and Y have following joint probability distribution: F(x,y) 4 1 0.10 0.15 3 0.20 0.30...

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Q: The random variable X has probability density function f(x) given by: f(x) = }x-1 2<xse+1 otherwise ...

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Q: Let X be a discrete random variable with the following PMF 0.1 for a = 0.2 %3D 0.2 for a = 0.4 %3D 0...

A: The probability mass function gives the probability at each possible value of a discrete random vari...

Q: The joint probability distribution of two random variables X, Y is given in the table below. Y=-3 Y=...

A: Required probability is P(X≤-3 , Y≤0)

Q: 4) In Toronto, Canada, 55% of people pass the drivers' road test. Suppose that 100 people take the t...

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Q: A lottery box contains lottery tickets numbered 0 to 100. If a lottery ticket is drawn at random, fi...

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Q: The owner of a manufacturing plant employs eighty people. As part of their personnel file, she asked...

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Q: 3. There are 6 men and 5 women in a room. In how many ways we can choose 3 men and 2 women from the ...

A: We have given that the 6 men and 5 women. Total number of persons are 11.   Combination formula: C( ...

Q: The time it takes for math students to answer a particular math question is exponentially distribute...

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Q: A teacher constructed a test in which the first part is composed of five true-or-false questions and...

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Q: In a standard deck of 52 cards how many ways are there to: a) Pick a face card and a ten? b) Pick an...

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Q: Which ane of these graphs does not represent a nomal distribution? O.

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Q: 45. A regression analysis yields the line ŷ = 18 + 0.25x. One of the subjects, Mary, has x = 40 and ...

A: Given  ŷ=18+0.25X  x=40, y=32   

Q: 2.A10-stop slot machine has one reel. It has the following number of symbols. Every stop has an equa...

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Q: dn electrical firm manufactures flashlight that have length of life that is normally etributed, with...

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Q: least two of the firends will meet on the same day for a showing? ne day ne:

A: HERE given, three friends plans to go to new movie Opening  some day next week (any day Monday- Sund...

Q: Question 3 In a high school graduating class of 100 students, 54 studied mathematics, 69 studied his...

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Q: TOPIC: CONDITIONAL PROBABILITY 5) A family has three children. Assuming that boys and girls are equ...

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Q: QUESTION 15 Suppose you have a bowl of 100 jolly ranchers. There are 28 green apple jolly ranchers, ...

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Q: The average per capita income for residents of Pennsylvania is $32,711 with a standard deviation of ...

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Q: Teachers' Salaries in North Dakota The average teacher's salary in North Dakota is $35,441. Assume a...

A: Let X be the random variable from normal distribution with mean (μ) = $ 35441and standard deviation ...