The amount of syrup that people put on their pancakes is normally distributed with mean 65 mL and standarddeviation 9 mL. Suppose that 50 randomly selected people are observed pouring syrup on their pancakes.Round all answers to 4 decimal places where possible.a. What is the distribution of X? X - NOb. What is the distribution of x? - NOc. If a single randomly selected individual is observed, find the probability that this person consumes isbetween 65.5 mL and 66.3 mL.d. For the group of 50 pancake eaters, find the probability that the average amount of syrup is between65.5 mL and 66.3 mL.

GivenMean(μ)=65standard deviation(σ)=9sample size(n)=50

Answered: The amount of syrup that people put on…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 60 minutes and a standard deviation of 14 minutes. Suppose one person at the hot springs is randomly chosen. Let X = the amount of time that person spent at Grover Hot Springs . Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( b. Find the probability that a randomly selected person at the hot springs stays longer then 81 minutes. c. The park service is considering offering a discount for the 7% of their patrons who spend the least time at the hot springs. What is the longest amount of time a patron can spend at the hot springs and still receive the discount? minutes. d. Find the Inter Quartile Range (IQR) for time spent at the hot springs. Q1: minutes Q3: minutes IQR: minutes
I need help with b and c
Please only answer b c d
The amount of time that people spend at Grover Hot Springs is normally distributed with a mean of 64 minutes and a standard deviation of 14 minutes. Suppose one person at the hot springs is randomly chosen. Let X = the amount of time that person spent at Grover Hot Springs . Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( b. Find the probability that a randomly selected person at the hot springs stays longer then 57 minutes. c. The park service is considering offering a discount for the 7% of their patrons who spend the least time at the hot springs. What is the longest amount of time a patron can spend at the hot springs and still receive the discount? minutes. d. Find the Inter Quartile Range (IQR) for time spent at the hot springs. Q1: minutes Q3: minutes IQR: minutes
Please explain how to solve as well.
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 average production cost for major movies is 57 million dollars and the standard deviation is 20 million dollars. Assume the production cost distribution is normal. Suppose that 46 randomly selected major movies are researched. Answer the following questions. Give your answers in millions of dollars, not dollars. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( 57 20 b. What is the distribution of ? - N c. For a single randomly selected movie, find the probability that this movie's production cost is between 52 and 55 million dollars. 58 d. For the group of 46 movies, find the probability that the average production cost is between 52 and 55 million dollars. e. For part d), is the assumption of normal necessary? Yes No
6. Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 210 feet and a standard deviation of 50 feet. Let X = distance in feet for a fly ball. Write the probability statement. (Let k represent the score that corresponds to the 80th percentile.) 80th percentile: 252.1 ft
please show steps for C. D. & E. thank you.
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
CHOOSE THE CORRECT ANSWERS BELOW and make sure to show your complete solution. finals answers should be in 4 decimal places.

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