Treat the number of months X after January 1 that someone is born as uniformly distributed from 0 to 12.Round all answers to 4 decimal places where possible.a. What is the distribution of X? X Ub. Suppose that 39 people are surveyed. What is the distribution of for this sample? ~ N(c. What is the probability that the average birth month of the 39 people will be more than 4.4?

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Answered: Treat the number of months X after…

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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o-$1,800. Answer Questions 1-6. 1. Find P(X $46000). 3. A professor's salary(X) was selected from this college. Find P( $45000$46000). 6. Sixty-four professor's salaries were selected at random. The mean, X-bar, was calculated. Find P( S45000
Q3: A. A scales representative who visits customers at home Finds she sells according to the following frequency distribution? Items frequency 1 10 3 2 4 Find the probability that she sells the following? a. Exactly one item. b. More than two items. At least one item. с. d. At most three items.
Q.5 What are the properties of a distribution function?
8°F Vindy Question 3 Question submitted. > Next question You can retry this question below The probability distribution for the number of houses on a street is given, but one value is missing. Fill in the missing value, then answer the questions that follow. P(X) X 22 23 24 25 26 ++ 0.16 0.2 0.23 .23 0.18 Round your answers to two decimal places. b) Find the mean number of houses on the street: 27.04 c) Find the variance of the number of houses on the street: 1.79 Submit Question Q Search H 8p
Shaded diagram.. 3. The random variable X has a normal distribution with mean 80 and standard deviation 6. Choose random samples of size 40 from this distribution. Let X be the random variable of sample means. (5) a. What is the distribution of X ? (5) b. What is the mean of X ? y
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Finish Based on past records it is given that time to solve a certain problem during the exam is normally distributed with mean 151 seconds and variance 225 seconds?. If 500 students are to solve this problem, how many of them will solve it in more than 185 seconds? Round the number of students 1 to the nearest integer. 7 13 Select one: a.494 19 b.None c.349 d.3 e.6
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B Choosing a topic Sk.. For data that is not normally distributed we can't use z-scores. However, there is an equation that works on any distribution. It's called Chebyshev's formula. The formula 1 where p is the minimum percentage of scores that fall within k k2 is p = 1 - standard deviations on both sides of the mean. Use this formula to answer the following questions. a) If you have scores and you don't know if they are normally distributed, find the minimum percentage of scores that fall within 2.2 standard deviations on both sides of the mean? b) If you have scores that are normally distributed, find the percentage of scores that fall within 2.2 standard deviations on both sides of the mean? c) If you have scores and you don't know if they are normally distributed, how many standard deviations on both sides of the mean do we need to go to have 64 percent of the scores? Note: To answer part c you will need to solve the equation for k.
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 Probability 0.07 4 5 6 0.25 0.28 The probability for X = 4 is missing. What is it? 0.07 0.25 0.40 0.50

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