When I go swimming, the distance in meters that I can swim before getting cramp in one of my hands is exponentially distributed with parameter ?=1/313.3λ=1/313.3. What is the probability that, on a random occasion when I go swimming, I swim at least 593.3593.3 meters without getting hand cramp? Give your solution accurate to 4 decimal places.
Q: Find the probability of choosing a letter other than the letter L from a bag that contains the…
A:
Q: 5) Two events X and Y are such that P(X) = 4, P(Y) = = P(Y) = — and P(XIY) = - ³1. Find the…
A: GivenP(X)=47, P(Y)=12 and P(X|Y)=34
Q: Based on the sample data and the regression line, complete the following. (a) For these data,…
A: Answer By using the given data is: the regression equation is: hat Y =82.25-0.48x Y-intercept [a]…
Q: Suppose we toss a coin 3 times. We denote head as "H" and tail as "T". We assume the probability of…
A: Given that a coin is tossed 3 time. Where, H = Heads, T= Tails Asumed, P(T)= 0.7 Let, X = the…
Q: A miniature golf course was recently added at the fairgrounds in a U.S. state. To see what sorts of…
A: given data couples with childdren: n1 = 79x1 = 44couples without children : n2 = 70x2 = 23α =…
Q: Ant Co. has developed a new product, the A-Warren. It is now time to bring the A-Warren product to…
A: Statement 1 is partially correct as there are two decision alternatives - to rollout the A-Warren…
Q: Probability Of 100 students 27 are taking calculus 32 are taking French and 13 are taking both…
A: Total number of students is n = 100.
Q: Can you please explain the difference between the standard deviation and standard error of x and p,…
A:
Q: Using the results presented in the table in Exercise 3.15, answer the following questions. a What is…
A: Given data : Culture strep A OIA Positive TP = 239 TN = 555 TP = 225 TN = 526…
Q: The diagram shows the probability density function of a continuous Random Variable X. What is the…
A: Here the given graph is we have to find the value of b
Q: A lamp has two light bulbs with an average lifespan of 1000 hours. Assuming we can model the…
A: given data x= time when bulb failsμ = 1000 hoursx follows exponential distributionP(x<X) =…
Q: A health care worker gets accidentally stucked with a needle. What are the possible courses of…
A: Given that, A healthcare worker gets accidentally stuck with a needle. The possible outcomes are as…
Q: For a random variable X, you are given Calculate Pr(0.5 2
A: Given,F(X)={0; x<0x24; 0≤x≤21; x>2
Q: OLLOW-UP UESTIONS sn't it qual to Step 1:- We can create the probability distribution table for the…
A:
Q: A 5.000 mAh cellphone battery is enough to last a normally distributed usage with a mean of 5.5…
A: Let random variable X be the life last (hour) of a 5000 mAh cellphone battery in gaming experience.X…
Q: Problem 7.4. A (6-sided) die is thrown and the number shown is written down (call it X). After that,…
A: From the given information, A sided die is thrown and the number shown is written down it as X.…
Q: is the answer not one of the multiple choice questions?
A: The given information is 80 take Math, 41 take Spanish, and 54 take Physics. 10 seniors take Math…
Q: In the United States, 40% of the population has brown eyes. If 15 people are randomly chosen, what…
A: Let X be the random variable from binomial distribution with probability success (p) = 40% = 0.40…
Q: A survey was conducted by Science Diet in which 125 families were asked how many dogs lived in their…
A: We have given information about a survey was conducted by Science Diet in which 125 families were…
Q: Mor Tuet We The Fri Saf he most impor 50 for Students that choose be Popular as Most important What…
A: Note: Thank you for the question. As you have requested, we have helped you solve only question 8c.
Q: Recall the following sample of incomes from the previous homework (measured in hun- dreds of…
A: i) Given claim: Test whether the median m of the income distribution is more than 300. Null…
Q: 2. Find the first and second derivatives m'(t) and m"(t) of m(t) and calculate m(¹)(0) and m²) (0)…
A:
Q: Consider the continuous random variable X whose pdf is given by f(z)=(a-³) LOSISI(I). (a) Find the…
A: Note: Hi there! Thank you for posting the questions. As there are multiple sub parts, according to…
Q: You and your friends are playing a game where there are 10 cards: 5 are red, 3 are blue, and 2 are…
A: In statistical analysis, correlation measures the strength of the relationship between two…
Q: what is the Probability that a Student owns a Cellphone given that they don't own a laptop 2M40…
A: “Since you have posted multiple questions, we will provide the solution only to the first question…
Q: A random variable X has the cumulative distribution function as below: Find its mean. 0 -12-²² x² -…
A: Answer:- Given, the cumulative distribution function of X is F(x) = 0x <…
Q: A real estate agent compares the selling prices of homes in two municipalities in southwestern…
A: Given that, a real estate agent compares the selling prices of homes in two municipalities in…
Q: Let ?1 denote true average tread life for a premium brand of P205/65R15 radial tire, and let ?2…
A: Answer Given Sample mean [x] =42100 Sample mean [y] =36200 Sample standard deviation [s1] =2400…
Q: The Sad State Lottery requires you to select a sequence of three different numbers from 0 through…
A: select a sequence of three different numbers from 0 through 42.here order is important. you win if…
Q: c. Draw a random sample of size 1000 from Binomial(n = 3, p=0.3). Then plot a histogram and…
A: Given that a coin is tossed 3 time. Where, H = Heads, T= Tails Asumed, P(T)= 0.7 Let, X = the…
Q: 11 10- 8 0 10- 9. 8+ 7- 6- 5. 4 3. 0 11 10- 9- 8- 7- 6+ 5. 4. 3- 0 Scatter Plot A 1 2 3 4 5 6 7 8 5…
A: Residual plot 1 : Scatter plot : Scatter plot C Good ( but not perfect ) model
Q: (d) Find P(X ≤Y).
A: Given joint density function of random variables X and Y is,f(x,y)=316xy2, 0≤x≤2,0≤y≤2
Q: Suppose that 10% of Peloton bikes are defective and should be replaced. Peloton offers one-year…
A: 10 % of Peloton bikes are defective and should be replaced 75 % coustomers use bike in first year…
Q: On a ballot, the candidates for each office are listed together under the office for which they are…
A: Here the given information is On a ballot, the candidates for each office are listed together under…
Q: Water and Carbohydrates. There are many interesting relationships among the various nutrients found…
A: Given data: Water Carbs 78.46 16.6 82.96 12.46 80.14 21.53 74.85 23.75 85.13 16.43…
Q: The Pareto distribution has cdf f(x) = 1− (0/(x+0)). Suppose that a random variable X has a…
A:
Q: A population has a mean of 50 and a standard deviation of 12. If a random sample of 36 is taken,…
A: As per our guidelines we can solve first three sub part of question and rest can be reposted.…
Q: A company wants to decrease their energy use by 25%. If their electric bill is currently $2,000 a…
A: According to the given information in this question We need to identify the correct option
Q: Below are the results of a survey of 1,364 individuals who were asked if they use social media and…
A: Given: Below are the results of a survey of 1,364 individuals who were asked if they use social…
Q: Write the given information in the Venn Diagram and Answer the following questions. Teacher Anna…
A: given data 20 students like math tinik15 students like sineskwela10 students like both educational…
Q: (c) Eventually, the numbers described in part (b) were also used up. The state then issued plates…
A: part (c) 1 letter followed by 4 letters and then 1 digit. no. of licence plates possible = ?…
Q: A local fast-food restaurant has a soda dispensing machine that employees use to automatically fill…
A: Note: Hi! Thank you for the question, As per the honor code, we are allowed to answer three…
Q: 3. Consider a random variable X whose probability mass function is given by if x = -2 if x = 0 p(x):…
A:
Q: How many students were enrolled in: 1.exactly one subject 2.exactly two subjects 3.at most two…
A: Given Information: 30 enrolled in Algebra. 25 enrolled in Physics. 25 enrolled in Chemistry. 14…
Q: Consider a Markov chain {Xn}n≥o having the following transition diagram: 1 2 5 1/2 1/4 3 4 1/2 1/4 6…
A: As per our guidelines I can solve only first 3 subparts. Kindly post the remaining subparts again…
Q: Exercise 6 W, X, Y and Z are independent standard normal random variables. b) P(4X +3Y <Z+W) = ¹; c)…
A:
Q: 1. A bag contains 3 red, 5 blue, 7 black and 9 white identical balls. If a ball is drawn randomly…
A: We have given that Total balls=3+5+7+9=24 Red balls=3, Blue balls=5, Black balls=7, White balls=9…
Q: An ordinary deck of cards contains 52 cards, 26 red and 26 black, If a card is dealt to each of 2…
A: Here the given information is An ordinary deck of cards contains 52 cards, 26 red and 26 black, If a…
Q: A random sample of 100 people who suffer from migraines are split into two groups of 50. The first…
A: Given that, a random sample of 100 people who suffer from migraines are split into two groups of 50.…
Q: The child's toy box contains 5 red, 4 blue and 3 yellow plastic balls. The child takes 4 random…
A: From the provided information, The child's toy box contains 5 red, 4 blue and 3 yellow plastic…
When I go swimming, the distance in meters that I can swim before getting cramp in one of my hands is exponentially distributed with parameter ?=1/313.3λ=1/313.3. What is the probability that, on a random occasion when I go swimming, I swim at least 593.3593.3 meters without getting hand cramp?
Give your solution accurate to 4 decimal places.
Step by step
Solved in 2 steps
- The operator of a pumping station has observed that demand for water during early afternoon hours has an approximately exponential distribution with mean 1000 cfs (cubic feet per second). b) What water-pumping capacity should the station maintain during early afternoons so that the probability that demand will be below the capacity on a randomly selected day is 0.995? c) Of the three randomly selected afternoons, what is the probability that on at least two afternoons the demand will exceed 700 cfs?The operator of a pumping station has observed that demand for waterduring early afternoon hours has an approximately exponential distribution with mean 1000cfs (cubic feet per second).a) Find the probability that the demand will exceed 700 cfs during the early afternoonon a randomly selected day.b) What water-pumping capacity should the station maintain during early afternoons sothat the probability that demand will be below the capacity on a randomly selectedday is 0.995?c) Of the three randomly selected afternoons, what is the probability that on at least twoafternoons the demand will exceed 700 cfs? 2. Let Y1 and Y2 be random variables with joint density functionf(y1, y2) = (6/7(y^2+y1y2/2) 0 < y1 < 1, 0 < y2 < 2,0, elsewherea) Find marginal density functions. Are Y1 and Y2 independent?b) Find P(0 < Y1 < 0.3, −2 < Y2 < 1).c) Find P(0.6 < Y1 < 1|0 < Y2 < 1). 3.The joint density function of Y1 and Y2 is given byf(y1, y2) = (y1 + y2), 0 <…Consider a cohort of patients receiving an experimental two-year treatment for a serious disease. Suppose that only 20% of the patients survive to the end of the second year. Assume CFM (constant force of mortality) within each year of treatment. Find the probability that a patient who survives the first four months dies by the end of the 20th month. Round to 4 decimal places.
- The operator of a pumping station has observed that demand for water during early afternoon hours has an approximately exponential distribution with mean 1000 cfs (cubic feet per second). a)Of the three randomly selected afternoons, what is the probability that on at least two afternoons the demand will exceed 700 cfs?The life X (in hours) of a battery in constant use is a random variable with exponential density. What is the probability that the battery will last more than 12 hours (h) if the average life is 8 h?Assume that the time required to download a file from the Internet is exponentially distributed with mean equal to 4 minutes. What is the probability that a download will require at least 2 but not more than 5 minutes?
- Joe is a student who is conducting experiments with a series of lightbulbs. He started with 10 identical lightbulbs, each with an exponentially distributed lifetime with a mean of 200 hours. Joe wants to know how long it will take until the last bulb burns out (or fails). At noontime, Joe stepped out to get some lunch with 6 bulbs still on. Assume that Joe came back and found that none of the 6 bulbs has failed. (a) After Joe came back, what is the expected time until the first bulb failure? (b) What is the expected length of time between the fourth bulb failure and the fifth bulb failure?Suppose the time it takes Alex to do this exam is exponentially distributed with parameter 3 per hour, and the time it takes Ben to do the exam is exponentially distributed with parameter 2per hour. Assume that these two times are independent.(a) What is the probability that Alex finishes before Ben?(b) What is the expected time in minutes until the first one finishes this exam?(c) What is the probability that neither Alex nor Ben finishes the exam within 3 hours?