i) ii) Draw a Venn diagram using the information given. Find the probability that A would occur if B had already occurred.

Q: A standard piano keyboard has 88 different keys. Find the probability that a cat, jumping on 9 keys…

A: Given A standard piano keyboard has 88 different keys. a cat, jumping on 9 keys in sequence

Q: Calculate the relative frequency P(E) using the given information. (Round your answer to two decimal…

A: It is given that The outcomes of die are as follows Outcome Frequency 1 0 2 0 3 10 4 10…

Q: The probability is ______________________ that for any 9 randomly chosen apples, 3 of the apples…

A: here sample size n=9 probability, p=0.2342 no: of apples rejected, x=3 The pdf of binomial…

Q: A ball is chosen at random out of a bowl that contains 3 red balls, 2 green balls, and 1 blue ball,…

A: There are 3 red balls, 2 green balls and 1 blue ball.

Q: A bowl contains twelve batteries of which four are new, five are used (working) and three are…

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Q: Prove that k() = n(1) (n = 1) for integers n and k with 1 ≤ k ≤ n, using a: a) combinatorial proof;

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Q: A company manufactures matches that are then put in boxes of 300 matches each. The boxes are…

A: In the given scenario, a firm produces matches, which are subsequently packaged in boxes of 300…

Q: A researcher claims that some particular bacteria with an average life span of 10 hours will live to…

A: Given Information: Sample size n=32 Sample mean x¯=14 Standard deviation s=4.2 Hypothesized value of…

Q: How many values are in the range 17 to 118? A) 67.5 B 135 C) 102 D) 100

A: Solution-: How many values are in the range 17 to 118? (A) 67.5 (B) 135 (C) 102 (D) 100

Q: An automated radar gun is placed on a road to record the speed of the cars passing by. The automated…

A: The proportion of cars exceeding speed limit is 0.0041. Among 300 cars average number of cars…

Q: You accidentally dial one number on your phone's keypad. Find the probability that the number you…

A: We have to find the probability number you dialed on phone keypad is greater than 9. as we know that…

Q: 2. Let X₁, X₂ and X3 be mutually independent random variables with Poisson distributions having…

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Q: None can be repaired                                                   (ii) 5 or less can be…

A: HERE given , It is known that only 60% of a defected computer can be  repaired. A sample of 15…

Q: 2. From a group of 12 people, what is the probability that: a) none share a birthday b) at least two…

A: Probability is the measure of likelihood. It is calculated by dividing the number of favorable…

Q: Question 1: Set theory J Suppose that in a random experiment you observe the number of computers…

A: Sets is the collection of well defined objects. Set is denoted in capital letters. The observations…

Q: 1. Random variable X has density function f(x) = (a/1,000,000)x^6 for 0<x< 10, and f(x) = 0 for all…

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Q: What is the probability of rolling a total of 9 ?

A: It is given that the sample space of rolling two six-sided dice is S={ (1,1) (1,2) (1,3) (1,4) (1,5)…

Q: Kindly answer this question below with complete solution. I want a handwritten output. Thank youu!…

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Q: (6) You have been given the hypotheses Ho: S = So, HA: S‡ So, which are tested with a test statistic…

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Q: Ten coins are thrown simultaneously. Find the probability of getting at least seven heads.

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Q: a) the probability that the time to detect the next piece of debris is less than 3 minutes. b) the…

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Q: Let X be a continuous random variable with E(X)=i! for i=0,1,2,.... (a) Show that X has an…

A: Yes it is a Gamma distribution with parameters (1,1)

Q: Miranda's Maid Service charges $294 to clean 6 offices. What is the company's price for cleaning a…

A: Given info: Miranda's Maid service charges $294 to clean 6 offices.

Q: The following table shows the results of a survey of authors by a (fictitious) publishing company.…

A: It is given that N represents an author is new and U represents that an author is unsuccessful.

Q: A quiz has 10 multiple choice questions with 3 choices for each question. Answer the following for…

A: Given sample size(n)=10Probability of getting correct answers(p)=13         (one correct answer from…

Q: For a three parameter weibull distribution with B= 1.54 hr, ? = 8500, and t0 = 50 hr, Find a,R(150…

A: Three parameter weibull distribution, Now we have to answer for mentioned questions. We have to…

Q: Use a t-distribution and the given matched pair sample results to complete the test of the given…

A: Since you have posted a question with mutliple subparts, we will solve first three subparts for you.…

Q: 20 :) Find the circumference of the circle pictured above. Round your answer to the nearest tenth

A: Given:The diameter of circle is given.d=20Here we find that circumference of the circle.

Q: When Susan and Jessica play a card game, Susan wins 60% of the time. If they play 9 games, what is…

A: We will use binomial distribution for this problem For every trial  For Jessica ;  probability for…

Q: A group of 16 people is choosing a chairperson and vice- chairperson. They put all 16 people's names…

A: Introduction: It is required to calculate the total number of possible combinations of chair and…

Q: The cumulative distribution function F of a discrete random variable X is given by: (0 if x < 0 1 if…

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Q: The number of calls received by a mountain search and rescue team in a da has a mean of 0.70. Find…

A: It is given that  The number of calls follows Poisson distribution with mean λ = 0.70. The pmf of…

Q: (i) Construct a 95% confidence interval of the difference in mean for the two solutions (ii) At the…

A: Calculate the Sample Mean and Sample Standard deviation for A and B Using Excel  i) Construct the…

Q: You flipped a loaded coin four times. The coin is loaded such that a head is twice likely to appear…

A: If an experiment has two outcomes they follow bernoulli distribution. If the same experiment…

Q: Question 2a. [ A box contains 17 lightbulbs, of which 6 are rated 13-watt, 5 are rated 18-watt, and…

A: Total lightbulbs=17 13-watt lightbulbs=6 18-watt lightbulbs=5 23-watt lightbulbs=6 3 lightbulbs are…

Q: 4.1 Mrs Tintswalo Maila owns a metal press shop and is considering expanding her company to include…

A: Decision tree analysis         A decision tree is a process of drawing a decision tree, which we can…

Q: probility

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Q: a) Find the value of k. b) Construct the probability distribution table. c) Calculate the mean and…

A: a) Σf(x)=1⇒17k*5+17k*6=1⇒175k+6k=1⇒17*11k=1⇒11k=7⇒k=711

Q: there are 2 boxes in box 1 11 cards are there numberred fron 1 to 11 and in box 2 5 cards are there…

A: Given, Box 1 : 1,2,3,4,5,6,7,8,9,10,11 ; 5 even number cards = 2,4,6,8,10 ; 6 odd number…

Q: 27. Given that the firm uses over 900 gallons in a particular month, find the probability that over…

A: Given:900 gallons in a particular month.

Q: probability that exactly two of the modified machines are among the thirteen with problems assuming…

A: HERE GIVEN, A factory has 52 machines. Four of these have been given an experimental modification.…

Q: I offer you the following game. Suppose I have a fair 100-sided dice. Each roll of the dice will…

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Q: The mean maximum aerobic power (VO2MAX) score for men ages 20 to 29 is 42 ml/min/kg with a standard…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: a) Calculate the missing values. b) Produce the probability table. c) What is the probability that…

A: The provided information is      Northeast South Midwest West Total Low 57 42 36 12 147…

Q: A four digit number is to be formed from the digits 0, 2, 5, 7, 8. How many numbers can be formed if…

A: 4 ways to fill it (2,5,7,8) 5 ways to fill it (0,2,5,7,8) 5 ways to fill it (0,2,5,7,8) 5 ways to…

Q: According to a Sallie Mae survey and credit bureau data, in 2008, college students carried an…

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Q: A discrete random variable Y is such that 1 y(y + 1)' P(Y = y) = y = 1, 2, 3, ...

A: Given:Y is a discrete random variable.P(Y=y)=1y(y+1),       1,2,3,.....Find:E(Y)

Q: probability problem person 1 is trying to loss weight, he needs to consume less than 2000 calories…

A: GivenTotal calories to be consumed for weight loss &lt;2000  Total calories consumed daily =2500 The…

Q: Use Excel Spreadsheets, Google Sheets, or GeoGebra to create a scatter plot for the data below. (You…

A: Given,  Day AM High (in feet), xx PM High (in feet), yy 1 5.6 4.8 2 5.5 4.8 3 5.4 4.9 4…

Q: 5. Let X be a random variable with a uniform distribution on the interval (0,1). Given Y = e, derive…

A: