Let X have a Negative binomial distribution function with parameters p = 0.2 and the numberof trials is 10 of which 6 are failures.a) Find the value of the number of successes r =c) The mean of this distribution isd) The standard deviation is

Let X have a negative binomial distribution function with parameters p = 0.2 and the number of…

Answered: Let X have a Negative binomial…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

A physician sees many different kinds of patients, and thus the time spent with each patient varies. Let X be the time spent with a patient in minutes. From historical data, X is known to be uniformly distributed between 15 and 40 minutes. a) What is the standard deviation of the time spent with a patient? b) What is the likelihood that the physician will spend less than 35 minutes with a patient? c) A patient has an appointment to see the physician at 8AM on a particular day. When should the second patient be scheduled so that there is only a 15% chance s/he will have to wait before before being seen by the physician? [e.g. if the appointment for the second patient is 8:15AM, there is a 100% chance the second patient will have to wait]
h) What is the approximate probability that T is within 2 standard deviations of its expected value?
Suppose that a college determines the following distribution for X=number of courses taken by a full-time student this semester: Value of X: 3 4 5 6 Probability 0.05. 0.25 0.27 a) The probability for X=4 is missing, What is it? b) What is the average number of courses full-time students at this college take this semester? c) What is the standard deviation of the number of courses full-time students at this college take this semester. d) What is P(X>4.7)
Assume that females have pulse rates that are normally distributed with a mean of u = 76.0 beats per minute a. If 1 adult female is randomly selected, find the probability that her pulse rate is between 69 beats per min The probability is (Round to four decimal places as needed.) b. If 25 adult females are randomly selected, find the probability that they have pulse rates with a mean bet The probability is (Round to four decimal places as needed.) c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30? O A. Since the distribution is of sample means, not individuals, the distribution is a normal distribution fo OB. Since the distribution is of individuals, not sample means, the distribution is a normal distribution fo OC. Since the mean pulse rate exceeds 30, the distribution of sample means is a normal distribution fo O D. Since the original population has a normal distribution, the distribution of sample means is a norma
Assume that the amount of weight that male college students gain during their freshman year are normally distributed with a. Mean of u= 1.2 kg and a standard deviation of o= 5.1 kg A. If 1 male college student is randomly selected, Find the probability that he gains between 0 and 3 kg during freshman year B. If 25 male college students are randomly selected find the probability that their mean weight gain during freshman year is between 0 and 3 kg why can the normal distribution be used on pet b even though the sample size does not exceed 30?
Assume the random variable X is normally distributed, with mean u= 57 and standard deviation o = 7, Find the 12th percentile. The 12th percentile is (Round to two decimal places as needed.)
2) Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probabilities. (Tips: Find the value for z; then, use the table) a) P(x 92); µ = 85; o = 8 c) P(16< x < 22); µ = 15; o = 4
Assume that women's heights are normally distributed with a mean 64.5 in, and a standard deviation of 2.3 in. (a) if 1 woman is randomly selected, find the probability that her height is less than 65 in.(b) if 46 women are randomly selected, find the probability that they have a mean height less than 65 in.
Consider a normal distribution curve where 55-th percentile is at 11 and the 20-th percentile is at 8. Use this information to find the mean, u , and the standard deviation, o , of the distribution. a ) μ - b) σ-
3. Calculate the mean, variance, and standard deviation of a binomial probability distribution, using the data: n = 9, x = 6, q = 0.75. a) Average b) Variance c) Standard Deviation

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS

Let X have a Negative binomial distribution function with parameters p = 0.2 and the number of trials is 10 of which 6 are failures. a) Find the value of the number of successes r = c) The mean of this distribution is d) The standard deviation is