Suppose a random variable is best described by a uniform probability distribution with range 0 to 5. Find the value of a that makes the following probability statements true. (a) P(x ≤ a) = 0.94 a= (b) P(x a) = 0.69 a = (d) P(x > a) = 0.54 a = (e) P(0.16 ≤ x ≤ a) = 0.37 a =
Q: The distribution of heights, X, of adult Omani men is approximately Normal with mean µ = 69 inches…
A:
Q: Tire pressure monitoring systems (TPMS) warn the driver when the tire pressure of the vehicle is 26%…
A: Given, Warn when the pressure is below 26% of target. Target tire pressure is 30 psi Also, The tire…
Q: The number of clients standing in line at (any) counter in front of you follows a random variable…
A: Number of clients in line at any counter is a random variable that follows Poisson distribution with…
Q: In each part, assume the random variable X has a binomial distribution with the given parameters.…
A: A random variable X~Binomial (n, p)P(X=x)=nxpx(1-p)n-x ;x=0,1,2.....n
Q: The number of vitamin pills, X, that a machine puts into bottles is normally distributed with μ…
A:
Q: Let x be a random variable that represents the weights in kilograms (kg) of healthy adult female…
A: Given Information: Mean (u) = 62 kg Standard Deviation (s) = 9 kg Sample mean (x) = 63.8 kg…
Q: Let P be the probability a person reported missing is still missing at the end of the year. Which of…
A: Given the data of missing people as Initially missing 5757 16133 8585 Still missing 71 171 316…
Q: Let the function in the figure be a cumulative distribution function for the random variable X. Find…
A: For a finite random variable X, the cumulative distribution function is defined as F(x) = P(X ≤ x).…
Q: A particle detector registers a-particles emitted from a radioactive source with probability 70%…
A: Given a particle detector registers α-particles emitted from a radioactive source with probability…
Q: Let p(y) denote the probability function associated with a Poisson random variable with mean ?.…
A: Explanation:here given the Poisson distribution with mean 8.3 Greatest integer is 8 So the answer…
Q: In each part, assume the random variable X has a binomial distribution with the given parameters.…
A: (a) n=5,p=0.6; Binomial ~ (n, p) P(X=3)=Cxn px (1-p)n-x = C35 (0.6)3 (1-0.6)5-3 = 0.3456…
Q: 20 0.25 Complete the following. (If necessary, consult a list of formulas.) (a) Find the expectation…
A: It is given that the random variable X with a probability distribution in the tabulation form.
Q: Use n= 10 and p=0.25 to complete parts (a) through (d) below. (a) Construct a binomial probability…
A: Given that n=10 ,p=0.25 using binomial distribution Find all the required blanks
Q: If X is a Poisson random variable with a rate of 5. Then, Calculate the probability P( X < 2)?
A: The probability mass function of a Poisson distribution with rate parameter P(X=k)=e-λ·λkk! where λ…
Q: It was recently reported that the heights of adults in Idaho are normally distributed with a mean of…
A: The given data is as follows:Population mean, Population standard deviation,
Q: Assume the petal length of a population of plants of species A is normally distributed with a mean…
A:
Q: A weather forecaster predicts that the May rainfall in a local area will be between 1 and 7 inches…
A: Given data A weather forecaster predicts that the may rainfall in a local area will be between 1 and…
Q: In the probability distribution to the right, the random variable X represents the number of…
A: Solution 0 0.269 0 0 0 1 0.571 0.571 1 0.571 2 0.123 0.246 4 0.492 3 0.031 0.093 9…
Q: The probability of an event depends on the random variable X and can be expressed by the following…
A:
Q: The graph of a continuous probability distribution cannot have y-values larger than 1.
A: Given that The graph of a continuous probability distribution cannot have y-values larger than 1.…
Q: The weights of a candies are normally distributed, with n = 469 H = 0.8556 g o = 0.051 g (a) If one…
A: Givensample size(n)=469Mean(μ)=0.8556standard deviation(σ)=0.051
Q: What are the probabilities P1, P2, P3 for the router failing not earlier than tB = 500h for the…
A: Let X be the time until failure is approximately well estimated with an exponential distribution…
Q: Let X be a random variable with the following probability distribution. Value X of X 40 50 60 70…
A: Value x of XP(X=x) 400.25500.60600.10700.05
Q: After 8:00pm on each Thursday, the amount of time that a person spends waiting in line to get into a…
A: (a) The preferred deviation of this distribution is 42 mins. (b) The probability that you must wait…
Q: (a) Determine the median of X. Round your answer to 4 decimal places, if necessary. (b) Compare the…
A: Here Given For arrival time of tasks arriving into a server follows exponential distribution with…
Q: The lifetime (in hours) of a 80-watt lightbulb that is manufactured by an electrical company, is…
A: Solution: Let X be the lifetime of a 80-watt light bulb that is manufactured by an electrical…
Q: The time it takes me to wash the dishes is uniformly distributed between 5 minutes and 14 minutes.…
A: It is an important part of statistics. It is widely used.
Q: Suppose that X is an exponentially distributed random variable with A = 0.63. Find each of the…
A:
Q: It is assumed that the X chance variable shows a lognormal distribution with parameters μ = 0 and σ…
A: Given Data: X~ Log Normal (0, 22) We know that Log (x)~ Normal (0, 22)
Q: I model the time at work as a Gamma distribution with parameters r = 20, = 2. What is the average…
A:
Q: If the following table represent a probability distribution with an expected value of 9. P(x) 2a 4a…
A:
Q: Suppose that the weight of a newborn fawn is Uniformly distributed between 2.1 kg and 3.6 kg. We…
A:
Q: The random variable X has the distribution shown in the table to the right. P(X = x) (a) Find P(X =…
A:
Q: Suppose a random variable is best described by a uniform probability distribution with range 2 to 4.…
A: given data, data follows uniform distribution X~U(2,4)we have to find out the given probabilities.
Q: The Denver Post reported that, on average, a large shopping center had an incident of shoplifting…
A: Given, The Denver Post reported that, on average, a large shopping center had an incident of…
Q: The random variable X has the following probability distribution. -1 0 P(X=x) 0.20 0.50 0.30…
A: Consider the probability distribution:
Q: The probability that a randomly selected teenager watched a rented video at least once during a week…
A: Step 1 :The binomial distribution probability is:P(X=x)=nCxpx(q)n−xwhere ::: x represents the total…
Q: In each part, assume the random variable X has a binomial distribution with the given parameters.…
A: Note: According to Bartleby guidelines, expert solve only one question and maximum 3 subpart of the…
![Suppose a random variable x is best described by a uniform probability distribution with range 0 to 5. Find the value of a that makes the following probability
statements true.
(a) P(x ≤ a) = 0.94
a =
(b) P(x <a) = 0
a =
(c) P(x > a) = 0.69
a =
(d) P(x > a) = 0.54
a =
(e) P(0.16 ≤ x ≤ a) = 0.37
a =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc6c24633-c3cc-42f6-867b-8e6b80becf9d%2F78534c19-0142-43de-94e6-a38dee2b3117%2Fjos2skn_processed.png&w=3840&q=75)
![](/static/compass_v2/shared-icons/check-mark.png)
Step by step
Solved in 4 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
- The time it takes to travel from my apartment to work is normally distributed with μ = 25 minutes and σ = 5 minutes. What is the probability that my commute time tomorrow will take between 30 and 35 minutes?(please round your answer to 2 decimal places)The United States Department of Agriculture (USDA) found that the proportion of young adults ages 20-39 who regularly skip eating breakfast is 0.238. Suppose that Lance, a nutritionist, surveys the dietary habits of a random sample of size n = 500 of young adults ages 20-39 in the United States. Apply the central limit theorem to find the probability that the number of individuals, X, in Lance's sample who regularly skip breakfast is greater than 122. You may find table of critical values helpful. Express the result as a decimal precise to three places. P(X > 122)%3D eal limir thaor tnr the hinamialdietrikotian tn indtha neohabilin: tbot the numbar of individuale in Aanly tha nd tems of use contact us he p about us cyeers 6:56 PM 11/6/2020 a. 2) Cip prt sc insert 110 |(a), (b), (c)
- In game of roulette, a player can bet on the 1/38 probabilty of metal batt landa on 1the player gets to keep the paid to play the game and the player is awarded an additional 140 Otherwise, the player is awarded nothing and the casino takes the player's $4. Find the expected value E(x) to the player for one play of the game to player in a game of chance, then E(x) is negative. This value gives the average amount the player can expect to lose.Let X denote a random variable having a distribution. If F(x)=ax³ where 0≤x≤(+3). Find f(x) after getting the constant value (a) and find the probability P(2The amount of time a person must wait for a train to arrive in a certain town is Uniformly distributed between o and 40 minutes. Q- What is the probability that the person must wait less than 8 minutes.? Select One Right Answer Select one: A. P(X<8minutes)= 20 % (=0.2) = (1/40)*8 B. P(X<8minutes)= 50 % (=0.5) C. P(X<8minutes)= 28 % (=0.28)If X is exponentially distributed, prove that the probability that X exceed its expected value is less than 0.5The joint probability distribution of x and y is as follows: У p(x, y) 1 .10 .04 .02 1 .08 .20 .06 .06 .14 .30 Q1. What is the value of the marginal probability P(x = 1)? %D Q2. What is the value of the marginal probability P(y = 1)?An unfair die looks like an ordinary six-sided die but the outcomes are not equally likely. The probability distribution of the face value, XX, is as follows: xixi 1 2 3 4 5 6 Total P(X=xi)P(X=xi) 0.15 0.16 0.33 0.2 0.11 0.05 1 The expected value is computed, E[X]=3.11E[X]=3.11. To find the variance and standard deviation the following table was set up: xixi P(X=xi)P(X=xi) (xi−E[X])2(xi-E[X])2 (xi−E[X])2P(X=xi)(xi-E[X])2P(X=xi) 1 0.15 (1−3.11)2=(−2.11)2=4.4521(1-3.11)2=(-2.11)2=4.4521 4.4521⋅0.15=0.66784.4521⋅0.15=0.6678 2 (2−3.11)2=(−1.11)2=1.2321(2-3.11)2=(-1.11)2=1.2321 1.2321⋅0.16=0.19711.2321⋅0.16=0.1971 3 0.33 (3−3.11)2=(−0.11)2=(3-3.11)2=(-0.11)2= 0.0121⋅0.33=0.0040.0121⋅0.33=0.004 4 0.2 (4−3.11)2=(0.89)2=0.7921(4-3.11)2=(0.89)2=0.7921 0.7921⋅0.2=0.7921⋅0.2= 5 (5−3.11)2=(1.89)2=3.5721(5-3.11)2=(1.89)2=3.5721 3.5721⋅0.11=0.39293.5721⋅0.11=0.3929 6 0.05 8.3521⋅0.05=0.41768.3521⋅0.05=0.4176 E[X]=3.11E[X]=3.11 Total:…The probability distribution function of a random variable X is 4. P(X =x)=Dk for x=0,1, 2,3,4 where k is a constant. Determine (a) the value of k. Hence, find P(0Please answer the question marked in red. Thank you!Compute P(X) using the binomial probability formula. Then detemine whether the nomal distribution can be used to estimate this probability. If so, approximate P(X) using the normal distribution and compare the result with the exact probability. n= 40, p= 0.35, and X= 25 ...... . P(X)=(Round to four decimal places as needed.) Can the normal distribution be used to approximate this probability? O A. Yes, the normal distribution can be used because np(1- p)<10. O B. No, the normal distribution cannot be used because np(1 - p)< 10. O C. Yes, the normal distribution can be used because np(1-p) 10. O D. No, the normal distribution cannot be used because np(1-p) 2 10. Approximate P(X) using the normal distribution. Use a standard normal distribution table. Select the correct choice below and fill in any answer boxes in your choice. O A. PX)=A (Round to four decimal places as needed.) O B. There is no solution. By how much do the exact and approximated probabilities differ? Select the correct…SEE MORE QUESTIONSRecommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th…StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C…StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage LearningElementary Statistics: Picturing the World (7th E…StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. FreemanMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th…StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C…StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage LearningElementary Statistics: Picturing the World (7th E…StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman