Ex 2/ Let X be exponential random variable with parameter A = 1:5. Find: 1- Find the probability distribution function 2- F[X] ? 3- E|X*) ? 4- Var(X)? 5- Find standard of deviation of X?
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![Ex 2/ Let X be exponential random variable with parameter A = 1:5.
Find: 1- Find the probability distribution function
2- F[X] ?
3- E[X*) ?
4- Var(X)?
5- Find standard of deviation of X?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F63b6246f-d31f-46ff-841b-07894c9e5d5c%2Fc5147e35-e78b-4d28-8689-99048c45fcd3%2F0810gfu_processed.jpeg&w=3840&q=75)
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- The mean µ=np and the standard deviation σ = np(1−p) is forPlease do not give solution in image formate thanku.The waiting time T at a bank teller’s window between two successive customers isdistributed as exponential with a mean of four minutes. Find the following probabilities:(a) P(T ≥ 5, (b) P(3 ≤ T ≤ 6), (c) P(T ≤ 4), and (d) P(T < 5). NOTE: Please explain each part, so the problem can be used as a Study Guide
- The probability distribution of the binomial random variable X is 3-x b(x; n, p) = (³) (¹) * (-²) ³**. x = 0,1,2,3. The standard deviation of X may be expressed as a simplest fraction equal to Find (a + b)².The random variable X has a distribution function:F(x) = 0 ; x < 3 = 1/c(x2 - 3x) ; 3 <= x <=6 = 1 ; x > 6 Count the value of constant "c" Count the P(X > 4) and P(5 <= X <= 6) Count the median of X Thanks for help!Q3/A/ Let X be a r.v with p.d.f f(x) = e-lkl - oA random variable Z is normally distributed with mean and variance are 0 and 1 respectively. Determine the probability of P(√2 ≤ Z < √5)Please solve one of the screenshots with help from the other screenshot!Suppose the lifespan (in months) of a smartphone battery can be modeled as a continuous random variable with CDF F(x) = 1 − e-x/3 x ≥ 0 What is the probability that the battery lasts between 12 to 15 months?ansewr D and E onlyThe pdf of random variable X is given as ƒx(x) = Find the i) Mean ii) Mean of the square [0.3507√x 0Assume that women's weights are normally distributed with a mean given by μ=143 lb and a standard deviation given by 29 lb.(a) If 1 woman is randomly selected, find the probabity that her weight is between 113 lb and 172 lb(b) If 3 women are randomly selected, find the probability that they have a mean weight between 113 lb and 172 lb(c) If 73 women are randomly selected, find the probability that they have a mean weight between 113 lb and 172 lbSEE MORE QUESTIONSRecommended textbooks for youA First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSON
A First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSON