1. The weekly mean income of a group of executives is $1,000 and the standard deviation of thisgroup is $100. The distribution is normal.a. What is the z value for a salary of 875?b. What is the probability that the salary will be larger than 875? Write this out in znotation...P(Z>_C.What is the probability that z will be larger than 1.5? or P(Z>1.5) = .d. What is P(x > 875) =

It is given that Mean, μ = 1000 Standard deviation, σ = 100 Z-Score, Z = ( X - μ )/σ Note:…

Answered: 1. The weekly mean income of a group of…

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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The age of children in kindergarten on the first day of school is uniformly distributed between 4.95 and 5.87 years old. A first time kindergarten child is selected at random. Round answers to 4 decimal places if possible. a. The mean of this distribution is b. The standard deviation is c. The probability that the the child will be older than 5 years old? d. The probability that the child will be between 5.35 and 5.55 years old is e. If such a child is at the 44th percentile; how old is that child? years old. Question Help: Video 1 C Video 2 e Written Example 1 Message instructor Submit Question Jump to Answer 80 こ。 DD F3 F4 F5 F6 F7 FS %23 $ & 1 3 4 7 8. 9 W E R T Y S K C B M つ

The mean amount of time it takes a kidney stone to pass is 12 days and the standard deviation is 5 days. Suppose that one individual is randomly chosen. Let X = time to pass the kidney stone. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( 12 5 or or b. Find the probability that a randomly selected person with a kidney stone will take longer than 16 days to pass it. Hint: c. Find the minimum number for the upper quarter of the time to pass a kidney stone. days.
1. The amount of time a Tech student spends on Instagram has an approximately exponential distribution with mean 60 minutes. a. What is the probability a randomly selected student spends less than 45 on Instagram? b. Illustrate your answer from a. using the pdf c. Find the cumulative distribution function for the time students spend on Instagram. d. What is the probability a randomly selected student is on Instagram for a time within 2 standard deviation of the mean?
The age of children in kindergarten on the first day of school is uniformly distributed between 4.88 and 5.72 years old. A first time kindergarten child is selected at random. Round answers to 4 decimal places if possible. a. The mean of this distribution is b. The standard deviation is c. The probability that the the child will be older than 5 years old? d. The probability that the child will be between 5.08 and 5.28 years old is e. If such a child is at the 74th percentile, how old is that child? years old.
1. The test scores of an Engineering Mechanics class with 800 students are distributed normally with a mean of 75 and a standard deviation of 7. a. What percentage of the class has a test score between 68 and 82? b. Approximately how many students have a test score between 61 and 89? c. What is the probability that a student chosen at a random has a test score between 54 and 75? d. Approximately how many students have a test score greater than or equal 96
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The age of children in kindergarten on the first day of school is uniformly distributed between 4.88 and 5.8 years old. A first time kindergarten child is selected at random. Round answers to 4 decimal places if possible. a. The mean of this distribution is b. The standard deviation is c. The probability that the the child will be older than 5 years old? d. The probability that the child will be between 5.38 and 5.58 years old is e. If such a child is at the 40th percentile, how old is that child? years old.
The standard deviation of a variable that has a normal distribution controls? a. The spread of the curve and is interpreted as the typical distance and observation is from the mean b. The spread of the curve and is interpreted as the typical outcome c. The probability is equivalent to the binomial formula calculation, but very rare d. The location of the curve and is interpreted as the mean or average outcome
The age of children in kindergarten on the first day of school is uniformly distributed between 4.91 and 5.97 years old. A first time kindergarten child is selected at random. Round answers to 4 decimal places if possible. a. The mean of this distribution is b. The standard deviation is c. The probability that the the child will be older than 5 years old?
Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the survey, assume the mean annual salary for graduates 10 years after graduation is $178,000. Assume the standard deviation is $39,000. Suppose you take a simple random sample of 36 graduates. Round all answers to four decimal places if necessary. a. What is the distribution of X? X - N( 178000 39000 b. What is the distribution of ? T - N( 178000 c. For a single randomly selected graduate, find the probability that her salary is between $173,350 and $181,100. 0.0791 6500 d. For a simple random sample of 36 graduates, find the probability that the average salary is between $173,350 and $181,100. e. For part d), is the assumption of normal necessary? NoO Yes o
The age of children in kindergarten on the first day of school is uniformly distributed between 4.77 and 5.95 years old. A first time kindergarten child is selected at random. Round answers to 4 decimal places if possible. a. The mean of this distribution is b. The standard deviation is c. The probability that the the child will be older than 5 years old? d. The probability that the child will be between 5.27 and 5.67 years old is e. If such a child is at the 35th percentile, how old is that child? years old. Question Help: D Video 1 D Video 2 Written Example 1 Message instructor Submit Question Jump to Answer M DEL

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