The management of a university did a survey on students’ hobbies. They found that 5% of the students interviewed enjoy neither reading nor playing computer games, 60% enjoy playing computer games but not reading, and 15% enjoy both reading and playing computer games. (a) Determine the percentage of the students interviewed who enjoy reading. (b) Determine the percentage of the students interviewed who enjoy reading or playing computer games. (c) If a student interviewed enjoys reading, what is the probability that this student will also enjoy playing computer games?

Q: Question Jodie competes in two events for her swim team, 100m freestyle and 50m butterfly. The tree…

A: Given problem Given that   Jodie competes in two events for her swim team.  Event 1 : 100m…

Q: Uses a table of values to establish the probability distribution of X. Round your answers to four…

A: Let p be the probability that a battery is defective. Given that p = 0.2% = 0.002 Let X denote the…

Q: 10. A manufacturer of rechargeable batteries tests 10 batteries at random and records the time it…

A: Suppose the random variable x defines the time taken to drain each battery after a full charge has…

Q: 1) The correlation of two random variables X and Y, usually written as p(X,Y)= √Var(X)Var (Y) where…

A: Correlation Coefficient r = cov(x,y)σxσycov(x,y) = E(xy)-E(x)E(y)σx- standard Deviation of…

Q: 2. Suppose that X and Y have the following joint PMF: P» (x,y) Y X 1 2 0.10 4 0.15 6 0.10 0 0.15…

A: The joint PMF of X and Y is  PX,Y(x,y)              Y X 0 1 2 2 0.15 0.10 0.10 4 0.20 0.15…

Q: You toss a fair coin three times: What is the probability of three heads, HHH? What is the…

A: Given that Toss a fair coin three times Sample space = S = (HHH, HHT, HTH, THH, TTH, THT, HTT, TTT)

Q: The continuous random variable X represents the amount in pesos of an Uber trip, which has a density…

A: From the given information, X be the amount in poses of an Uber trip with density function,…

Q: 4. Let X₁, i = 1,2,..., be independent random variables with P(X; = 1) = ½, P(X; = − 1) = 1. Put Fo=…

A: From the given information, Define,

Q: Find the probability distribution. (Order your answers from smallest to largest x-value. Round your…

A:

Q: Q2: For the project, its data shown below find: Time in weeks that gives a probability of %97.5…

A:

Q: The number of goals in a football match is a Poisson random variable with parameter X = 2.02. Given…

A: Let X denote the number of goals. Given that X follows poisson(2.02), then the probability function…

Q: The percentage of titanium in an alloy used in aerospace castings is measured in 51 randomly…

A: given data   sample size(n) = 51 sample standard deviation(s)  =0.43construct 95 % ci for σ.

Q: Research reveals that last year the per capita consumption of wine in Vatican City was the highest…

A: As per our guidelines we are suppose to answer only one question kindlypost the remaining question…

Q: Melvin has 8 chocolates left in a box. The chocs are either hard or soft. (ii) Melvin picks a hard…

A: here given, 8 chocolates left in a box. chocs either hard or soft. so, sample space, s={hard , soft}

Q: Prize value Number of prizes £1 million 2 6 11 24 60 116 £100,000 £50,000 £25,000 £10,000 £5,000…

A: Solution: From the given information,

Q: Find the following probabilities. It may help to sketch the pdf for Standard Normal Distribution and…

A: Z is known as standard normal variable and it's value is obtained using standard Normal table.

Q: Find the probability that the hand contains the given cards. no diamonds

A:

Q: The following table shows road accident death rates in 2018 for all nine ASEAN countries Country…

A: (a) Here,  n= 9. The ascending order of the data set is: 2.8, 12.2, 12.3, 16.6, 17.8, 19.9, 23.6,…

Q: A machine producing components with a 10% defective rate. Determine in a sample of 6 components…

A: It is given that n = 6 and p = 0.10.

Q: 1.3-2. The following table classifies 1456 people by their gender and by whether or not they favor a…

A: Given   From table  n(Total)=1456, n(S1,A1)=392,n(S2,A1)=649, n(S1,A2)=241, n(S2,A2)=174 ,…

Q: A property insurance company knows that fire insurance claims have a mean of $507 and a standard…

A: Given Population mean μ=507, standard deviations σ=4000,n=300  M=sample mean  T= Total amount Note:…

Q: Use R functions to find the value of the following probabilities: 3. A light bulb with an average…

A: Given that A light bulb with average lifetime= 300 X ~ Exponential (300)

Q: common proposal beating lottery Ich numbers have come up lately, eliminate those from consideration,…

A: according to question this is proposal for beating the lottery is to note number came up lately one…

Q: number 7 I got 0.00002

A: Z is known as standard normal variable and it's value is obtained using standard Normal table.

Q: We use i to denote an "imaginary" number such that i² = -1. The complex numbers are then the numbers…

A: According to binomial expansion, (a + b)n is expanded using the formula : (a + b)n = nC0 an + nC1…

Q: There are 4 cardio stations and 6 weight lifting stations at the gym. a. How many ways can you…

A: We have given, There are 4 cardio stations and 6 weight lifting stations at the gym.

Q: Let E and F be two events in S with P(E) = 0.27, P(F) = 0.66, and P(E ∪ F) = 0.82. Find P(E ∩ F) and…

A: We have given that, Let E and F be two events in S (Sample space). P(E)=0.27, P(F)=0.66, P(E∪F)=0.82

Q: Giving a test to a group of students, the grades and gender are summarized below Grades vs. Gender A…

A: A B C TOTAL  MALE 19 16 18 53 FEMALE  10 09 20 39 TOTAL  29 25 38 92

Q: Your really mean math teacher, Mrs Snampook, gives you a pop quiz with 12 extremely difficult…

A: Given that  Number of questions = 12 Choices for each question = 4 Let p be the probability of…

Q: c. What is the probability that he got all twenty questions correct? est a'yqod 3. Suppose that the…

A: Note: Hi! Thank you for the question. As you have specifically asked for the questions in part 2…

Q: An insurance company sells a $20,000, seven-year term life insurance policy to an individual for…

A: The insurance company sells a $20,000 to an individual for 1,700.

Q: Giving a test to a group of students, the grades and gender are summarized below C Total 41 44 85 A…

A: Hjhhgiven data, giving a test to a group of students , the grades and gender are summarized in the…

Q: 4.. ( )The average number of decays in a Poisson process is two decays per second. What is the…

A: From the provided information, The average number of decays in a Poisson process is two decays per…

Q: Example: If 25 percent of all patients with high blood pressure have bad side effects from a certain…

A: Given that p = 25% = 0.25 , n = 120

Q: Find the following probabilities. It may help to sketch the pdf for Standard Normal Distribution and…

A: Given,X~Norm(266 , 162)mean(μ)=266standard deviation(σ)=16

Q: Eight prizes are to be given to eight different people in a group of thirteen. In how many ways can…

A: There is total 13 people and total 8 prizes.

Q: B. Based on the following questions, is the mean is significantly different from 12 at a=0.01…

A: Given data: 16 16 12 16 12 18 16 12 14 18 18 18 16 18 10 20 16 20 12 12 16 4 6 8 4 8 14…

Q: (a) Let X1,..., Xm be a random sample from a Binomial(m, p) distribution. i. Find the method of…

A: As per the Bartleby guildlines we have to solve first question and rest can be reposted.... (a) Let…

Q: two balls are drawn in succession without replacement from a box containing 5 red balls & 6 blue…

A:

Q: Based on Julie's Semester 1 Mathematics 1 Quiz scores, the probability that Julie obtains a perfect…

A: Given data P(perfect score) =p = 0.7no. of trials (n) = 6X = no. of quiz julie obtains perfect score

Q: A 3-card hand is drawn from a standard deck of 52 cards. Find the probability that the hand contains…

A: Given3-card hand is drawn from a standard deck of cardsTotal no.of cards in a deck=52No.of club…

Q: The hospital administration classifies patients with and without comorbidities. As shown below, a…

A: under 20 20 to 40 over 40 total with comorbidities 27 41 14 82 without comorbidities 12 34 22…

Q: Your really mean math teacher, Mrs Snampook, gives you a pop quiz with 12 extremely difficult…

A: From the provided information, Number of questions (n) = 12 Probability of correct answer (p) = 1/4…

Q: (c) Find the conditional probability density function fy|xX=z.

A: We have to find the conditional pdf of Y given X = x.

Q: Let U be a Uniform(0, 1) RV. Suppose X = 2U-1. What is The probability that X > 0?

A: Given that Let U be a Uniform(0, 1)  Suppose X = 2U-1 then we have to find  the probability that X…

Q: Use the situation below to complete Exercises 1-4. The heights (in inches) of the starting players…

A: The data is given by X : 72, 75, 78, 72, 73, and the sorted data is  X : 72, 72, 73, 75, 78 Note :…

Q: If the mean for a binomial distribution is 16.34 and there were eighty-six trials, find p. p =

A: given data  binomial distribution μ = 16.34 n = 86 p = ?

Q: The number of emails a professor receives per day is observed to be a Poisson random variable with…

A: Given  p=2/3 , variance=81, time=t=5min

Q: Consider the probability density function 0 if x 4.

A: the probability density function of X isf(x)=0if x<-2136(8+2x-x2)if -2≤x≤40if x>4

Q: (c) A survey of 110 students on three electronics devices, smart watch, tablet and laptop, produced…

A: Given Information: Total number of students is 110. Number of students own a smartwatch is 39 Number…