16. Let X be normally distributed with mean μ = 120 and standard deviation σ = 20. a. Find P(X86). b. Find P(80 ≤x≤ 100). ة ن فـ d. Find x such that P(X ≤x) = 0.40. Find x such that P(X>x) = 0.90.
Q: 12. Suppose you spin the following spinner 12 times. a) How many times do you expect to land on WIN?…
A:
Q: ball is drawn from one of three urns depending on the outcomeof a roll of a dice. If the dice shows…
A: Step 1:IF " A" is an event which occurs with mutually exclusive events E1,E2, and E3 Then…
Q: Please solve the following Probability problem. Show all work and solve all parts that are asked:…
A: Definitions based on the figure:Do: 1 flat, 3 round sides up — move 1 spaceGae: 2 flat, 2 round…
Q: he following contingency table details the sex and age distribution of the patients currently…
A: From the question, we know that:The doctor sees 6 male patients in a day.The probability of a male…
Q: Total marks 13. 3. There are three urns. Urn I contains 3 blue balls and 5 white balls; urn II…
A: (i) What is the probability of drawing a blue ball? Step 1: Define probabilities for selecting each…
Q: Instructions The fuel efficiency, in miles per gallon, of 12 small utility trucks was measured are…
A: Sort the DataFirst, sort the data in ascending order: 14, 21, 21, 22, 22, 24, 25, 25, 25, 25, 27, 33…
Q: Question 3 Suppose 200 cars were rented by a consulting firm from 3 agencies A, B and C. The cars…
A: total=200 carsa) Probability that a car is selected from Agency A or does not have bad…
Q: Assume that X follows a normal distribution N(25; 16).1)Sketch a graph in which you represent the…
A:
Q: 10 students from each of Engineering, Science, Humanities, and Social Science were nominated to…
A: To find the probability that at least one of the four faculties will be unrepresented on the student…
Q: 8.52 Pull-strength tests on 10 soldered leads for a semiconductor device yield the following…
A: Step 1: Test for equality of variances (F test) The hypothesis for this F test is that we denote the…
Q: A key feature of the normal curve is that distances along the horizontal axis, when measured in…
A: The normal distribution, also known as the Gaussian distribution, is a probability distribution that…
Q: 3. An assorted box of chips contains 11 Ketchup, 9 BBQ, 11 Sour Cream and 13 Regular. Ten bags of…
A: First, we need to calculate the probability of selecting 3 regular chips and 3 BBQ chips out of 10…
Q: data management Q5
A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.
Q: Question 1 A restaurant manager is interested to study the distribution of customers having dinner…
A: Step 1:Given data : Step 2:Plug the given data into Excel and then Make the data in one Single…
Q: Four players, creatively named A, B, C, and D, are playing spades. A standard, well-shuffleddeck of…
A: Understanding the ProblemThe problem asks us to calculate the number of possible hands in a game of…
Q: Insert Format Tools Extensions Help a A 200% - Normal text Arial 2 1 12+ BI U A 3 EX 5 3 4. How…
A: Intuitively it seems like x3 > x2 all the time, however this is actually not the case when…
Q: just using the definition of probability and the theorem on page 17 of the notes, prove thatfor any…
A: It is given thatP(A∪B)=P(A)+P(B)−P(A∩B)P(A∩B)=P(A)+P(B)−P(A∪B)Now we know that probability of a…
Q: Need help I dont un
A: This problem involves finding the probability that component B fails, given that the overall system…
Q: Suppose a carpenter's ruler was marked in thirty-seconds. What would be the fraction and its…
A: Finding the fraction:Halfway between 1/8 and 2/8 is simply the average of these two…
Q: Suppose that 60% of university students will be randomly exposed to the flu. If you areexposed and…
A: Approach to solving the question:Answer the given question.
Q: solve and explain. step by step solution will be very helpful too.thank you
A: a) (P[X<3])- The probability that X is less than 3 Given that X is uniformly distributed in the…
Q: Suppose your friend is playing the online game War of Worldcraft, and they’re running anevent where…
A: To solve these problems, we'll use the properties of the exponential distribution. The exponential…
Q: % do DII F5 (3) The game of roulette consists of a small ball and a wheel with 38 numbered pockets…
A: (b) Expected Payout for a Straight Up Bet : When you make a $5 bet on the number 17 straight up:…
Q: Please do the following questions with handwritten working out. Answer is in the image
A: A renewal process is a stochastic model for random events (called renewals or arrivals) that occur…
Q: 8.25 The average life of a bread-making machine is 7 years, with a standard deviation of 1 year.…
A:
Q: 8.24 If a certain machine makes electrical resistors having a mean resistance of 40 ohms and a…
A: 1458/36=40.5 𝑃(𝑋>40.5)=1 −𝑃(𝑍≤40.5−402/36)P(X>40.5)=1−P(Z≤2/3640.5−40)…
Q: A box contains 10 balls numbered from 1 to 10. You draw an odd numbered ball and then you put it…
A: Step 1:Probability of an event =…
Q: You are planning an outdoor product launch weekend (Saturday and Sunday) February next year. From…
A:
Q: QIA Let F-4c24, countible or, A, countible), show that is o-algebra. B Let (Fne N) is family of…
A:
Q: Q9. If A and B are two events, prove that P(ANB) ≥ 1 − P(Ā) – P(B). [Note: This is a simplified…
A: In probability theory, two events are said to be independent if the occurrence of one does not…
Q: Suppose that random variable X has a Chi-Square distribution with k =10degrees of freedom ( 2 X k …
A: Step 1:(a) To find the value of χ0.052 such that P(χ2≤χ0.052)=0.05 with k=10, we utilize the…
Q: For X ∼Bin(28561, 25/169 ), approximate the probability P (4105 ≤ X ≤ 4225)
A: Step 1: Approximate X to normalThe Central Limit Theorem states that regardless of the shape of the…
Q: Solve the following Probability Problem (solve all parts) HW 2.x. (Headless Hunt)The Headless Hunt…
A:
Q: Measures of Center: Question 7 Listen Instructions The Amazon ratings below are for 4500 Live…
A: Step 1: Step 2: Step 3: Step 4:
Q: Please assist with the following questions with the answers
A: To solve this problem, we need to find the predictions made by Analyst 1 and Analyst 2 using two…
Q: 3-7 Hypothesis Test Business Nonathlete vs. National Av Business Athlete vs. National Average…
A: Given Information:National average proportion (p0): This value is usually provided, assume…
Q: The probability that a student has a Visa card (event V) is 0.62. The probability that a student has…
A: The problem provides us with the following probabilities:Probability of having a Visa card (P(V)) =…
Q: A fair coin is tossed 30 times. Find the probability of getting between 20 and 25 headsinclusively…
A: Step 1:Probability mass function of binomial distribution P(X=x)=(xn)pxqn−x WhereX =number of…
Q: 8.18 If the standard deviation of the mean for the sampling distribution of random samples of size…
A: Step 1:To determine the required sample size for the standard deviation of the sampling distribution…
Q: company records for 600 employees show that 120 have been reprimanded more than once and 450 have…
A: To find the probability that an employee is a woman who has received exactly one reprimand, we need…
Q: Game: dropping marbles from a 100-floor tower, given unlimited amount of identical marbles. if…
A:
Q: Insurance: An insurance company sells a 1 -year term life insurance policy to an 85 -year-old…
A: Given:The man pays a premium of $1600. If he dies within 1 year, the company will pay $33,000 to his…
Q: Twelve trials are conducted in a Bernoulli process in which the probability of success in a given…
A:
Q: i need this question done in 10 minutes
A:
Q: data management Q3
A: Step 1: Analyze the given data2 identical quarters: Possible choices = {0, 1, 2}.3 identical…
Q: Could you please help me with question 2bii. If possible could you explain how you found the bounds…
A: Understanding the Bounds of the Integral Using the Graph of the Region of IntegrationThe problem…
Q: B3. Two companies A and B produce batteries. Batteries from company A have an expected lifetime of…
A: (a) Distribution of XˉnThe sample mean Xˉn=n1∑i=1nXi represents the average lifetime of n…
Q: Suppose that bus loads for a certain bus route fluctuate randomly throughout theday. Each bus can be…
A: Assume That L is the event that the bus is light, and L' is the event that the bus is packed. Also,…
Q: Suppose the probability of an IRS audit is 2.8 percent for U.S. taxpayers who file form 1040 and who…
A: The probability of an event occurring is usually given as a percentage. To convert this to a…
Q: Please do question 3c with full working out. I'm struggling to understand what to write
A: Problem BreakdownThe problem involves a simple healthy-sick model without recovery, analyzed using a…
Step by step
Solved in 2 steps with 5 images
- CBS news reported that 4% of adult Americans have a food allergy consider selecting 10 adult Americans at random define the variable x as: x= number of people in the sample of 10 that have a food allergy a. p(x<3) b. p(x lesss than or equal to 3) c. p (x greater than or equal to 4) d. p (1 less than or equal to x less than or equal to 3)Suppose there is a test, φ, that yields the distribution of test outcomes for good drugs and bad drugs seen in the Figure. In this case, is it possible to create a rule for accepting and rejecting drugs that yields no Type I or Type II error? If so, be sure to show this threshold rule explicitly on the graph above. If not, explain why this is impossible.Please help with parts a,b,c,d, and if possible e!
- I need help with parts “c”, “d, and “e” thanks.Suppose that you enter a fantasy basketball league. Suppose that the 2022 team budget, say X, is randomly drawn from a uniform distribution on the interval [90, 210], where the unit is U.S. million dollars. In addition, suppose that after the value X = x has been observed (90 < x < 210), the 2023 team budget, say Y, is randomly drawn from a uniform distribution on the interval [x, 210]. In other words, the 2023 budget is at least as large as the 2022 budget. (a) For any given value of x (90 < x < 210), obtain E[Y|X = x]. (b) In view of part (i), obtain E[Y|X]. (c) What is the difference between E[Y|X = x] and E[Y|X]? (d) Obtain E[Y]. That is, what is the expected value of your 2023 fantasy basketball budget? (e) Golden State Warriors won the 2022 NBA finals. Their estimated 2022 payroll is about $194 million. Would your 2023 fantasy basketball budget be on average larger than Golden State Warriors' 2022 payroll? Explain briefly.. Suppose X ~ N(2,3). What value of x has a z-score of -0.67?
- 6 The blood pressure of a diabetic taken at random has a normal distribution with mean 126 and variance 60. The blood pressure of a non-diabetic taken at random has a normal distribution with mean 121 and variance 40. Let X d be the average blood pressure of four diabetics taken at random and X n be the average blood pressure of four non-diabetics taken at random. Find Prob( X d > X n). Hint: Define D by D= X d - X n, find the mean and the variance of D and then calculate the probability that D>0.3. If X is x² (23), find the following: a) P(14.85 < X < 32.01) b) constants a and b such that P(a < X < b) = 0.95 and P(Xe) Find the mean median ed (6) X ~ Bi (np). If the mean is 102 cand o² = 0.12 Find the pr(x > 1)Dandelions are studied for their effects on crop production and lawn growth. In one region, the mean number of dandelions per square meter was found to be 11.Find the probability of no dandelions in an area of 1 m².P(X=0)=P(X=0)=Find the probability of at least one dandelion in an area of 1 m².P(at least one) =Find the probability of at most two dandelions in an area of 1 m².P(X≤2)=Suppose that f (x) = (3/2)x2 for −1< x < 1. Determine the mean and standard deviation of X.Plz all will rateSEE MORE QUESTIONS
