Q4// The number of orders that a mail-order service receive in a day has approximately a normaldistribution with a mean number of orders equal to 500 and a standard deviation of 30 orders. Whatis the probability that on any day the number of order received will bea. Less than 440 ordersb. between 530 and 575 ordersc. between 440 and 470 orders(Note that N(1) = 0.8413 , N(2) = 0.9772 , N(2.5) 0.998N(0) = 0.5 )

Let X denotes the number of orders in a day. Given that X follows N(mean = 500, SD = 30), then Z =…

Answered: Q4// The number of orders that a…

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 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
Americans receive an average of 20 Christmas cards each year. Suppose the number of Christmas cards is normally distributed with a standard deviation of 7. Let X be the number of Christmas cards received by a randomly selected American. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N 20 ✓,7 b. If an American is randomly chosen, find the probability that this American will receive no more than 23 Christmas cards this year. c. If an American is randomly chosen, find the probability that this American will receive between 21 and 25 Christmas cards this year. d. 70% of all Americans receive at most how many Christmas cards? (Please enter a whole number)
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r a standardized psychology examination intended for psychology majors, the historical data show that scores have a mean of 510 and a standard deviation of 170 . The grading process of this year's exam has just begun. The average score of the 40 exams graded so far is 526 . What is the probability that a sample of 40 exams will have a mean score of 526 or more if the exam scores follow the same distribution as in the past? Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places.

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