Exercise 4Suppose that the random variable X has a geometric distribution with a p = 0.4.Calculate the following:a. P(X = 2)b. Р(X < 5)с.Evaluate the mean, variance and standard deviation.

Answered: Image /qna-images/answer/4d31d551-c044-4af9-b61d-92568ea482ad.jpg

Answered: Suppose that the random variable X has…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Similar questions

When a normal random variable Y is transformed to a standard normal random variable Z, the mean value of Z is 1 and the standard deviation value is 0.
Assume that the random variable X is normally distributed with mean = 15 and standard deviation = 2. Let n = 4. Find P( > 16) and P( < 16).
A random variable follows a normal distribution with mean 12k and variance σ2. The probability that a RV is less than p is 0.9582. knowing that the RV exceeds 10k, the probability that the RV is less than p is 0.95. Calculate σ.
Assume the random variable X is normally distributed, with mean μ=47 and standard deviation σ=8. Find the 14th percentile.
Find the F-test statistic to test the claim that the population variances are equal. Both distributions are normal. The standard deviation of the first sample is 3.96014.5373 is the standard deviation of the second sample.
Find the F-test statistic to test the claim that the population variances are equal. Both distributions are normal. The standard deviation of the first sample is 2.44628.0027 is the standard deviation of the second sample.
Find the mean and variance of the binomial Distribution P=0.38, n=5
Service time for a customer coming through a checkout counter in a retail store is a random variable with the mean of 1.0 minutes and standard deviation of 0.5 minutes. Suppose that the distribution of service time is fairly close to a normal distribution. Suppose there are two counters in a store, n = 11 customers in the first line and n2 = 30 customers in the second line. Find the probability that the difference between the mean service time for the shorter line X1 and the mean service time for the longer one X2 is more than 0.5 minutes. Assume that the service times for each customer can be regarded as independent random variables. Round your answer to two decimal places (e.g. 98.76). P = i
Assume all populations are normally distributed. A travel analyst claims that the mean price of a round trip flight from New York City to Los Angeles is less than $507. In a random sample of 55 round trip flights from NYC to LA, the mean price is $502. Assume the population standard deviation is $111. At α = 0.05, is there enough evidence to support the travel analyst’s claim?
Determine the standard deviation of the random variable, B(600,0.4).
Let the random variable x have a normal distribution with a mean value of 70 and a variance of 25. Then find the probability that P(x < 80).

Recommended textbooks for you

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Mathematics For Machine Technology

Advanced Math

ISBN:

9781337798310

Author:

Peterson, John.

Publisher:

Cengage Learning,

Basic Technical Mathematics

Advanced Math

ISBN:

9780134437705

Author:

Washington

Publisher:

PEARSON

Topology

Advanced Math

ISBN:

9780134689517

Author:

Munkres, James R.

Publisher:

Pearson,

SEE MORE TEXTBOOKS

Suppose that the random variable X has a geometric distribution with a p = 0.4. Calculate the following: a. P(X = 2) b. Р(X < 5) c. Evaluate the mean, variance and standard deviation.