The manager of a baseball team has determined the number of walks, x, issued in a game by one of thepitchers. The probability distribution for x is as follows:P(x)1/20X12/2023/20311/2043/20a) Is this a correct probability distribution? Why or why not?b) Calculate the mean (expected value) for x.c) Construct the probability distribution histogram for the number of 'walks'.

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Answered: The manager of a baseball team has…

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...

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Let X represent the number of visits to the GP over the last 12 months. From past records of patients, the GP has constructed the following probability distribution for X. X 0 1 2 3 7 P(X=x) 0.5 0.2 0.1 0.1 0.1 What is the expected number of visits given that a patient has had at least one visit? (correct to one decimal place)
The data represent the number of driving fatalities for a certain area by age for male and female drivers. Male Female under 16 161 145 16-20 5900 2497 21-34 11,431 4029 35-54 12,838 5410 55-69 4898 1569 70 and over 3267 1251 (a) What is the probability that a randomly selected driver fatality who was female was 16 to 20 years old? The probability that a randomly selected driver fatality who was female was 16 to 20 years old is approximately nothing. (Round to three decimal places as needed.) (b) What is the probability that a randomly selected driver fatality who was 16 to 20 was female? The probability that a randomly selected driver fatality who was 16 to 20 was female is approximately nothing. (Round to three decimal places as needed.)
Construct the probability distribution for rolling two dices where the random variableX= the sum of number of spots on both dices is at most 6.b. Use the probability distribution you have made in part a, and find the expected mean andvariance of X.
In order to verify the accuracy of their financial accounts, companies use auditors on a regular basis to verify accounting entries. The company's employees make erroneous entries 5% of the time. Suppose that an auditor randomly checks three entries. a Find the probability distribution for Y, the number of errors detected by the auditor. b Construct a probability histogram for p(y). C Find the probability that the auditor will detect more than one error.
Let X be the discrete r.v. that represents the number of Boys in a three-child family. Assume that the outcomes boys and girls are equally likely. What is the expected value of this discrete probability distribution? What is the variance?
Oxygen demand is a term biologists use to describe the oxygen needed by fish and other aquatic organisms for survival. The Environmental Protection Agency conducted a study of a wetland area. In this wetland environment, the mean oxygen demand was μ = 9.9 mg/L with 95% of the data ranging from 7.3 mg/L to 12.5 mg/L. Let x be a random variable that represents oxygen demand in this wetland environment. Assume x has a probability distribution that is approximately normal. (a) Use the 95% data range to estimate the standard deviation for oxygen demand.
Suppose you choose four people at random from a Statistics class in which you know 20% of the students have an A average. Let X be the number of students in your sample who have an A average. Obtain the probability distribution for X and plot the probability histogram. X Probability 0 i N 3 A 0.45 0.4 0.35 0.3 i Probability histogram: 0.25 i MI 0.2 0.15- 0.1 0.05- 0 0 1 2 X Figure 1. 3 0.45 0.4 0.35 0.3 0.25 m 10 el 02 0.15 0.1 0.05 0 0 2 X Figure 2. 3 0.45 0.4 0.35- 0.3- 0.25 02- 0.15 0.1- 0.05 0 0 1 2 X Figure 3. 3
The probabilities that discipline officers will discover violations of the student handbook in a certain school in a quarter are given in the following table. type your answer... Number of Violations (v) 3 0.3100 4 0.1200 5 0.1700 6 0.1200 7 0.1300 8 0.1000 9 0.0500 What is the mean of the probability distribution? (Input answer in 4 decimal places) Previous Probability P(v) Next
Oxygen demand is a term biologists use to describe the oxygen needed by fish and other aquatic organisms for survival. The Environmental Protection Agency conducted a study of a wetland area. In this wetland environment, the mean oxygen demand was u = 9.3 mg/L with 95% of the data ranging from 6.7 mg/L to 11.9 mg/L. Let x be a random variable that represents oxygen demand in this wetland environment. Assume x has a probability distribution that is approximately normal. In USE SALT (a) Use the 95% data range to estimate the standard deviation for oxygen demand. (b) An oxygen demand below 8 indicates that some organisms in the wetland environment may be dying. What is the probability that the oxygen demand will fall below mg/L? (Round your answer to four decimal places.) (c) A high oxygen demand can also indicate trouble. An oxygen demand above 12 may indicate an overabundance of organisms that endanger some types of plant life. What is the probability that the oxygen demand will exceed…
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Let X = {Email, In Person, Instant Message, Text Message}; P(Email) = 0.06 P(In Person) = 0.55 P(Instant Message) = 0.24 P(Text Message) = 0.15 Is this model a probability distribution? A. Yes. B. No. C. Maybe.

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