1. Let X be a random variable that denotes the number of passengers in a trainstation for a given hour. What are the possible values of X?2. A family has four children. If X is a random variable that pertains to the number offemale children, what are the possible values of X?3. Two dice are roiled at the same time. The first die shows a 2. Given that X is arandom variable that represents the sum of the results shown by the two dice,what are the possible values of X?4. A random variable X denotes the number of consumers in a sample of 300 whofavor a particular product over all competitors. What are the possible values of X?5. A school nurse records the height of all the students in the school. If X is a randomvariable representing the height of the students, what are the possible values of X?

let x be a random variable denotes number of passengers in a train station for a given hours.T

Answered: 1. Let X be a random variable that…

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

Let X be a random variable with a mean of 20 and variance of 4. Then E(3X2 -3 X +2) is а. -46 O b. 1154 O c. 1142 O d. 1526
A company produces 10,000 bags per day. This company supplies bags to a shop which sells them in packs of 10 bags per pack. If less than two of a randomly selected pack (of 10 bags) from the order are defective, the shop accepts the whole order. The proportion of defective bags produced by the manufacturing company is 10%. Let ? be the random variable representing the number of defective bags in a pack.i. Identify the type of distribution being described in this question and write down the value/s of its parameter/s.ii. What is the probability that the order will be accepted?iii. What is the probability that a randomly selected pack (of 10 bags) has more than two defective bags?
Let a random variable X have the t, distribution. What is the distribution of X2? Select one: O a. Fr O b. F n О с. ха
Three balls are selected from a bag that contains 3 blue, 2 green, and 5 yellow balls. Here, we define random variables as B = number of blue balls drawn, G = number of green balls drawn, Y = number of yellow balls drawn. Please list the following values:
nd markers without ink. Assume that the box contains 17 markers: 12 that contain ink and 5 tha ontain ink. A sample of 8 markers is selected and a random variable Y is defined as the number arkers selected which do not have ink. ow many different values are possible for the random variable Y? Part 2
A random variable has CDF What is p₂? F₁ = 0.25, 1, 0, 1, 2 i = 3
Bill Alther is a zoologist who studies Anna's hummingbird (Calypte anna).t Suppose that in a remote part of the Grand Canyon, a random sample of six of these birds was caught, weighed, and released. The weights (in grams) were as follows. 3.7 2.9 3.8 4.2 4.8 3.1 The sample mean is x = 3.75 grams. Let x be a random variable representing weights of hummingbirds in this part of the Grand Canyon. We assume that x has a normal distribution and a- 0.90 gram. Suppose it is known that for the population of all Anna's hummingbirds, the mean weight is u= 4.70 grams. Do the data indicate that the mean weight of these birds in this part of the Grand Canyon is less than 4.70 grams? Use a- 0.05. (a) What is the level of significance? State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test? Ho: H 4.7 g; right-tailed Ho: H= 4.7 g; H: < 4.7 g; left-tailed Ho: H- 4.7 g; H: 4.7 g; two-tailed (b) What sampling distribution will you use? Explain the rationale…
Bill Alther is a zoologist who studies Anna's hummingbird (Calypte anna).t Suppose that in a remote part of the Grand Canyon, a random sample of six of these birds was caught, weighed, and released. The weights (in grams) were as follows. 3.7 2.9 3.8 4.2 4.8 3.1 The sample mean is x = 3.75 grams. Let x be a random variable representing weights of hummingbirds in this part of the Grand Canyon. We assume that x has a normal distribution and o = 0.96 gram. Suppose it is known that for the population of all Anna's hummingbirds, the mean weight is µ = 4.80 grams. Do the data indicate that the mean weight of these birds in this part of the Grand Canyon is less than 4.80 grams? Use a = 0.10. (a) What is the level of significance? State the null and alternate hypotheses. Will you use a left-tailed, right- tailed, or two-tailed test? O Ho: H 4.8 g; right-tailed O Ho: H = 4.8 g; H1: µ < 4.8 g; left-tailed (b) What sampling distribution will you use? Explain the rationale for your choice of…
5.
Let X be a B (10, 1/2) random variable. What is the probability that X = 5?
Suppose that X is a N(3,4) random variable and suppose that Y=5X+2. Determine P(Y>18.5).
A pathologist has been studying the frequency of bacterial colonies within the field of a microscope using samples of throat cultures from healthy adults. Long-term history indicates that there is an average of 2.80 bacteria colonies per field. Let r be a random variable that represents the number of bacteria colonies per field. Let O represent the number of observed bacteria colonies per field for throat cultures from healthy adults. A random sample of 100 healthy adults gave the following information. 2 3 4 5 or more 13 18 28 16 17 8 (a) The pathologist wants to use a Poisson distribution to represent the probability of r, the number of bacteria colonies per field. The Poisson distribution is given below. P(r) = r! Here 1 = 2.80 is the average number of bacteria colonies per field. Compute P(r) for r = 0, 1, 2, 3, 4, and 5 or more. (Round your answers to three decimal places.) P(0) = P(1) = Р(2) Р(3) 3 P(4) = %3D P(5 or more) = (b) Compute the expected number of colonies E = 100P(r)…

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

1. Let X be a random variable that denotes the number of passengers in a train station for a given hour. What are the possible values of X?