Question

Consider a random variable x that follows a uniform distribution, with a = 2 and b...

Consider a random variable x that follows a uniform distribution, with a = 2 and b = 13.

What is the probability that x is less than 5?

a. P(x < 5) = 0.7273

b. P(x < 5) = 0.2727

c. P(x < 5) = 0.13635

d. P(x < 5) = 0.08181

What is the probability that x is between 3 and 6?

a. P(3 ≤ x ≤ 6) = 0.0886275

b. P(3 ≤ x ≤ 6) = 0.10908

c. P(3 ≤ x ≤ 6) = 0.2727

d. P(3 ≤ x ≤ 6) = 0.149985

Consider the random variable X that follows an exponential distribution, with μ = 20.

The standard deviation of X is σ =------------------- .

The parameter of the exponential distribution of X is λ =---------------------- .

What is the probability that X is less than 10?

a. P(X < 10) = 0.7981

b. P(X < 10) = 0.4908

c. P(X < 10) = 0.3935

d. P(X < 10) = 0.2212

What is the probability that X is between 30 and 35?

a. P(30 < X < 35) = 0.3262

b. P(30 < X < 35) = 0.1738

c. P(30 < X < 35) = 0.2231

d. P(30 < X < 35) = 0.0493

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
The exponential distribution Consider the random variable X that follows an exponential distribution, with μ =...
The exponential distribution Consider the random variable X that follows an exponential distribution, with μ = 40. The standard deviation of X is σ = a. 40 b.0.0006 c. 6.321 d. 0.0250 . The parameter of the exponential distribution of X is λ = a.40 b. 0.0250 b. 6.321 d. 0.0006 . What is the probability that X is less than 27? P(X < 27) = 0.2212 P(X < 27) = 0.5034 P(X < 27) = 0.4908 P(X < 27)...
#1 Suppose a random variable X follows a uniform distribution with minimum 10 and maximum 50....
#1 Suppose a random variable X follows a uniform distribution with minimum 10 and maximum 50. What is the probability that X takes a value greater than 35? Please enter your answer rounded to 4 decimal places. #2 Suppose X follows an exponential distribution with rate parameter 1/10. What is the probability that X takes a value less than 8? Please enter your answer rounded to 4 decimal places. #3 Suppose the amount of time a repair agent requires to...
Consider the observed frequency distribution for the accompanying set of random variables. Perform a​ chi-square test...
Consider the observed frequency distribution for the accompanying set of random variables. Perform a​ chi-square test using α = 0.05 to determine if the observed frequencies follow the Poisson probability distribution when lambda λ=1.5. Random Variable, x Frequency, fo    0    18 1 35 2 30 3 14 4 and more    3 Total    100 What is the null​ hypothesis, H0​? A. The random variable follows a normal distribution. B. The random variable does not follow the Poisson...
b. If a random variable follows a Poisson distribution with λ = 4 and t =...
b. If a random variable follows a Poisson distribution with λ = 4 and t = 2. Find     (i) The probability of more than 5 successes.    (ii) The probability of at most 2 successes.    (iii) The probability of less than 2 successes.    (iv) The probability of between 2 and 5 successes, P(2 ≤ X ≤ 5). The expected value (E(x)), variance (σ2), and standard deviation of this Poisson distribution. (Show work)
5. Suppose x is a random variable best described by a uniform probability distribution with C=30...
5. Suppose x is a random variable best described by a uniform probability distribution with C=30 and D=110 Find P(X > 94) 6. Suppose x is a random variable best described by a uniform probability distribution with C=40 and D=100 Find P(X < 88) 7. Suppose x is a uniform random variable with c = 30 and d = 110. Find P(x < 46). 11. High temperatures in a certain city for the month of August follow a uniform distribution...
Let X denote a random variable that follows a binomial distribution with parameters n=5, p=0.3, and...
Let X denote a random variable that follows a binomial distribution with parameters n=5, p=0.3, and Y denote a random variable that has a Poisson distribution with parameter λ = 6. Additionally, assume that X and Y are independent random variables. Derive the joint probability distribution function for X and Y. Make sure to explain your steps.
Suppose that X|λ is an exponential random variable with parameter λ and that λ|p is geometric...
Suppose that X|λ is an exponential random variable with parameter λ and that λ|p is geometric with parameter p. Further suppose that p is uniform between zero and one. Determine the pdf for the random variable X and compute E(X).
If X is an exponential random variable with parameter λ, calculate the cumulative distribution function and...
If X is an exponential random variable with parameter λ, calculate the cumulative distribution function and the probability density function of exp(X).
A random variable X follows the continuous uniform distribution with a lower bound of −7 and...
A random variable X follows the continuous uniform distribution with a lower bound of −7 and an upper bound of 10. a. What is the height of the density function f(x)? (Round your answer to 4 decimal places.) b. What are the mean and the standard deviation for the distribution? (Round your answers to 2 decimal places.) c. Calculate P(X ≤ −5). (Round intermediate calculations to at least 4 decimal places and final answer to 4 decimal places.)
Let X denote a random variable that follows a binomial distribution with parameters n=5, p=0.3, and...
Let X denote a random variable that follows a binomial distribution with parameters n=5, p=0.3, and Y denote a random variable that has a Poisson distribution with parameter λ = 6. Additionally, assume that X and Y are independent random variables. Using the joint pdf function of X and Y, set up the summation /integration (whichever is relevant) that gives the expected value for X, and COMPUTE its value.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT