A test was given to a group of students. The grades and gender are summarized below A B C Male 2 13 3 Female 6 14 18 Total 8 27 21 Total 18 38 56 If one student is chosen at random from those who took the test, Find the probability that the student got a 'B' GIVEN they are male.

Q: There are 9+4+7+6+12+4 = 42 territories total. If you pick 3 different territories uniformly at…

A: In the board game Risk, the world map is divided into six continents, and each continent is broken…

Q: A factory tests a random sample of 17 transistors for defects. The probability that a particular…

A: n=17 r=0 P=0.06 q=0.94

Q: 2) Several friends take a fishing trip every year. Each year they have a contest to see who catches…

A:

Q: Problem 4. Let X = (X₁, X2,..., Xn) be i.i.d. where each X; has proba- bility mass function P(Xį =…

A: We have given function with pmf P(Xi=xi)=(θ2)|xi|*(1-θ)1-|xi| where xi∈{-1,0,1} and 0≤θ≤1

Q: A variable of a population has a mean of fl = 300 and a standard deviation of a = 35. a. The…

A: Population mean =300 Standard deviation =35  We have to find a...mean and standard deviation of…

Q: X is a continuous random variable and its density function is Jkx ƒ₂(x) = { {0 What is k? O a. 1 O…

A: Given the pdf. of a continuous random variable f(x) = kx0≤x≤10otherwise What is k?

Q: Honey A TextBook of Exploring Quantitative S 59-62: Two-Circle Venn Diagram with Numbers. Use the…

A: Answer:- From the above venn diagram we can write, Total number of people in the party =…

Q: How many ways are there to select 5 cards from the following deck of 50 cards such that none of them…

A: How many ways are there to select 5 cards from the following deck of 50 cards such that none of them…

Q: 6. Let A, B, C be three events with P(A) = determine the probability of the event that at least one…

A: Probability is the ratio of number of favorable outcomes to the total number of possible outcomes.…

Q: an advanced performer or a beginner?

A: If somebody is receiving feedback about 75% of the time they attempt a skill, they are most likely a…

Q: Many investors and financial analysts believe the Dow Jones Industrial Average (DJIA) gives a good…

A: The type of study used is determined below as follows:   From the given information, the claim is to…

Q: State H0 and H1 and the Critical Value claim: two means equal, n1 = 40, n2 = 126, α = 0.05, σ1 & σ2…

A: Answer: From the given data, Sample size(n1) = 40 Sample size (n2) = 126  Significance level (α) =…

Q: A coin is loaded so that the probability of a head occurring on a single toss is The probability of…

A:

Q: Martha drives to work every day and passes two dependently operated traffic lights. The probability…

A: Martha drives to work every day and passes two dependent-operated traffic lights. The event A is…

Q: 25 Reese Prosser never puts money in a 10-cent parking meter in Hanover. He assumes that there is a…

A:

Q: 20 nin I 26 nin I 40 43 nin 50 60 nax I 76 80 100 nax 1 105 120 nax I 125 D1 OB. The median value…

A: D1 :  Min = 26  Max = 76  D2 :  Min = 58  Max = 125  D3 :  Min = 43  Max = 105  Box plot consist 5…

Q: K Consider the random variables X and Y with the joint density function shown to the right. (a) Find…

A:

Q: Two events are non-mutually exclusive. If P(A) = 0.51 and P(B) = 0.34, what is the probability of…

A: Two events A and B are non-mutually exclusive P(A)=0.51 P(B)=0.34

Q: Suppose that X has a Poisson distribution with λ = 80. Find the probability P(X ≤ 70) based on the…

A: X has a Poisson distribution with λ=80.

Q: Setting M = max(X,Y), thus the distribution table of Mis (

A: here given joint probability distribution of x and y M = max(x,y)

Q: Papa's Italian Restaurant has collected data about customer sauce orders. It calculated that…

A: Papa's Italian Restaurant has collected data about customer sauce orders as follows:…

Q: (d) List three uses for this distribution in practical terms. (e) Appropriate refererencing to be…

A: (d) The normal distribution has several practical uses in various fields, including: Quality…

Q: The university administration has asked a group of student leaders to vote on the aspects of college…

A: The given data is as follows:   Number of Heads       Preference 2 19 20 10 3 Ist T L H T F…

Q: 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 data a Based on the boxplot above, identify the 5 number…

A: A boxplot is given.

Q: Consider the accompanying sample data on expense ratio (%) for large-cap growth mutual funds. 0.54…

A: 0.54,1.01,1.21,2.16,1.58,0.96,1.09,1.08,1.82,2.06, 0.90,0.78,1.35,0.59,1.53,0.99,1.05,1.76,1.05,1.20…

Q: The probability distribution for the daily sales at Spartan, Inc., is given below. Daily Sales…

A: Daily sales($1000s) probability 40 0.1 50 0.4 60 0.3 70 0.2

Q: population of values has normal distribution with mu = 145 and sigma =68. Find the probability that…

A: Answer: From the given data, Mean (μ) = 145 standard deviation (σ) = 68 X follows normal…

Q: We have three independent risks, each having the following probability mass functions: P(X₁=0)=1/4…

A: To calculate the VaR(90%) and TVaR(90%) of the distribution of the total claims of the portfolio of…

Q: (c) When is this distribution used in the real world?

A: The Weibull distribution is commonly used in the real world to model failure times of components,…

Q: In a certain Algebra 2 class of 28 students, 21 of them play basketball and 8 of them play baseball.…

A: In this problem, we will use probability theory to determine the likelihood that a student selected…

Q: For two events, M and N, P(M)=0.4, P(N|M) = 0.7, and P(N|M')=0.2. Find P(MIN'). P(MIN') = (Simplify…

A: For two events M  and N, the given probabilities are as follows, P(M)=0.4P(N|M)=0.7P(N|M')=0.2 Since…

Q: An ice cream parlor offers 28 different flavors of ice cream. One of its items is a bowl consisting…

A: The ice cream parlor offers 28 different flavors of ice cream.

Q: The distribution of the binomial random variable (X) has the following parametes: P=0,3 and n=9.…

A: In the field of statistics, understanding the basics of probability is fundamental. Probability…

Q: Let f(x, y) be the joint probability density function of X and Y defined by x) = {².- Find Cov(X,…

A: The value of Cov(X,Y) is obtained below as follows:   From the given information, the joint pdf is,…

Q: The weight of laboratory mice follows a normal distribution, with a mean of 0.68 ounce and a…

A: Answer  Mean =0.68 Standard deviation =0.02

Q: The phooysoical fitness of an athlete is often measured by how much oxygen the athlete takes in…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: A catering service offers 12 appetizers, 10 main courses, and 9 desserts. A customer is to select 3…

A: 12 appetizers 10 main courses 9 desserts   A customer is to select 3 appetizers, 6 main courses, and…

Q: Read the t statistic from the t distribution table and choose the correct answer. For a one-tailed…

A: sample size(n)=12 significance level(α)=2.5%=0.025 Test is one-tailed test (upper tail)

Q: We wish to test an effect of a drug that claimed to improves the patients with 90% of chance. The…

A: Let Y be the number of people who improved. From the given information, n=20.

Q: Question 1 In a particular state, the license plates have 7 characters. Each character can be a…

A: Number of character in licences plat = 7 characters. Number of possible digits or letter = 9 digits…

Q: You have a $15,000 debt from your three-year college program. The interest rate charged is 6.8%. You…

A:

Q: (10) Alice chose a bookshelf uniformly at random, and then chose a hook from that shelt uniformly at…

A: Use Bayes Theorem

Q: Compute the probability P (DIC) using P(DNC) P(DIC)= P(C) and the appropriate table values. P(DIC)=…

A: A                    B                    C                   Total D…

Q: C₁=-47³1-37²² +127²7²-67¹. Problem 3.44. Consider the probability density given by (2a)-¹ for x≤ a…

A:

Q: Problem 2. Someone makes a claim that the probability of bit error, p, for a certain unit is less…

A: As per our guidelines I can solve only first 3 subparts. Kindly post the remainder subparts again…

Q: The percent of fat calories that a person in America consumes each day is normally distributed with…

A:

Q: You and your friend carpool to school. Your friend has promised that he will come pick you up at…

A: A random variable X~U(3, 13) f(x)=113-3      ;  3≤x≤13 f(x)=110     ;   3≤X≤13 Cumulative…

Q: Suppose you are invited to play a game in which you bet $1 on any number from 000 to 599. If your…

A: Number from 000 and 599  If your number comes up you get $300  We have to find Expected wining

Q: (c) The vendor claims that the standard deviation in the weight of the sacks is less than 2 kg.…

A: A shipment of 1000 sacks of oranges arrives at a distribution centre in Edinburgh, one of 10 such…

Q: Find the value of the constant c. Find P(YX). Find P(Y = X).

A: The probability mass function (PMF) of random variables X and Y is pX,Y(x,y)=c(x+y)2if x∈1,2,4 and…