Question 5On a planet far far away from Earth, IQ of the ruling species is normally distributed with a mean of 104 anda standard deviation of 16. Suppose one individual is randomly chosen. Let X = IQ of an individual.a. What is the distribution of X? X - Nb. Find the probability that a randomly selected person's IQ is over 87.Round your answer to 4decimal places.c. A school offers special services for all children in the bottom 3% for IQ scores. What is the highest IQscore a child căn have and still receive special services?Round your answer to 2 decimalplaces.d. Find the Inter Quartile Range (IQR) for IQ scores. Round your answers to 2 decimal places.Q1:Q3:IQR:Hint:Helpful videos:• Find a Probability [+]• Finding a Value Given a Probability (+]

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Answered: Question 5 On a planet far far away…

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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Assume that in a given year the mean mathematics SAT score was 495, and the standard deviation 111. A sample of 61 score is chosen. ANSWER ALL QUESTIONS PLEASE SHOW WORK A.What is the probability that same mean score is less than 484? B. The probability that the sample mean score is between 460 and 500 is? C. The 10th percentile of the sample mean is D. Would it be unusual if the sample mean were greater than 520? And what is the probability? E. Do you think it would be unusual for an individual to get a score greater than 520? What is the probability
You take a random sample of n = 900 observations from a population with a mean of 100 and a standard deviation of 10. What's the largest value of x you would expect to find? A. 108 B. 101 C. 100 D. 110
> Question 4 The lengths of adult males' hands are normally distributed with mean 192 mm and standard deviation is 7 mm. Suppose that 7 individuals are randomly chosen. Round all answers to 4 where possible. a. What is the distribution of ? - N( b. For the group of 7, find the probability that the average hand length is more than 188. c. Find the first quartile for the average adult male hand length for this sample size. d. For part b), is the assumption that the distribution is normal necessary? O No Yes Hint: Some Helpful Videos: • Finding the Sampling Distribution [+] • Finding a Probability Using the Central Limit Theorem [+] • Finding Value Given a Probability Using the Central Limit Theorem [+] . The Central Limit Theorem For ns [+] Hint Submit Question 40 % $ R 5 16 T 4- ^ 6 4+ Y 90 & BA 7 * U 19 144 8 ly 1 tio C I DII 9 DDI O P A
Three students were applying to the same graduate school. They came from schools with different grading systems. Thuy is Vichet is Kamala is Number Number Student GPA School Thuy Number 2.5 Vichet 86 Table 2.74 School Average 2.8 80 Kamala 8.5 8.3 How many standard deviations is each student away from hiir school average? If the student GPA is higher than his school average, enter this as a positive number. If the student GPA is lower than his school average, enter this as a negative number. Average GPA GPA School Standard Deviation 0.8 10 0.5 standard deviations from Thuy's school average. standard deviations from Vichet's school average. standard deviations from Kamala's school average.
Please show the steps to solve the problems 28 a, b, and c.
Suppose that the average number of Facebook friends users have is normally distributed with a mean of 111 and a standard deviation of about 59. Assume fourteen individuals are randomly chosen. Answer the following questions. Round all answers to 4 decimal places where possible. a. What is the distribution of æ? ¤ - N( b. For the group of 14, find the probability that the average number of friends is more than 94. c. Find the first quartile for the average number of Facebook friends. d. For part b), is the assumption that the distribution is normal necessary? Yes No Submit Question logi F2 F5 3 R. T. *CO 8 7 6
Question C,D,and E please.
Please solve
C, D, E, F
Imagine the mean women’s foot size is a 7.5 with standard deviations of 1.5. a. What percentage of women have a foot size larger than 10? b. If you select 30 people at random is it likely that any of them will have a foot size larger than 10? If so, how many?
Part C only please. Thank you!
You are given the following information: sample mean is equal to 103.55, population standard deviation is equal to 14.88, sample size is equal to 111 and the national average is equal to 109. What would be the value of z-observed?

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