7. Suppose the scores S on a probability examination are a normal random variable withmean 78 and standard deviation 6. Therefore, S~ N(78, 6²).(a) Compute P(S> 72). (Hint: You can use the normalcdf command on the TI83/84 or an online calculator for the normal distribution.) Express your answeras a decimal.(b) Find the score s such that P(S

This is a probability and statistics problem involving a normal distribution. The problem provides…

Answered: 7. Suppose the scores S on 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 average THC content of marijuana sold on the street is 10.9%. Suppose the THC content is normally distributed with standard deviation of 2%. Let X be the THC content for a randomly selected bag of marijuana that is sold on the street. Round all answers to 4 decimal places where possible, a. What is the distribution of X? X ~ N( 2 b. Find the probability that a randomly selected bag of marijuana sold on the street will have a THC content greater than 12.1. c. Find the 60th percentile for this distribution. %
Assume that the amount of weight that male college students gain during their freshman year are normally distributed with a. Mean of u= 1.2 kg and a standard deviation of o= 5.1 kg A. If 1 male college student is randomly selected, Find the probability that he gains between 0 and 3 kg during freshman year B. If 25 male college students are randomly selected find the probability that their mean weight gain during freshman year is between 0 and 3 kg why can the normal distribution be used on pet b even though the sample size does not exceed 30?
ALICE and YouGov conducted an online poll among Americans hotel guests of more than 18 years old to understand their expectations from hotels in the year 2018-191. This poll showed that 40% of guests were interested in gaining experiences of local cuisine tastings/tours. Suppose you take a random sample of 10 hotel guests. Let, x, represent the number of guests interested in gaining experiences of local cuisine tastings/tours. Find the mean and standard deviation of x. What is the probability that x <=5? Find the probability that x > 7.
Suppose that the amount of time that students spend studying in the library in one sitting is normally distributed with mean 47 minutes and standard deviation 17 minutes. A researcher observed 49 students who entered the library to study. Round all answers to 4 decimal places where possible. 1.If one randomly selected student is timed, find the probability that this student's time will be between 45 and 49 minutes 2.For the 49 students, find the probability that their average time studying is between 45 and 49 minutes. 3.The top 10% of the total study time for groups of 49 students will be given a sticker that says "Great dedication". What is the least total time that a group can study and still receive a sticker? minutes
The mean total cholesterol for a population of men between the ages of 20 and 29 is 180 micrograms per decilitre with a standard deviation of 37.4. A healthy total cholesterol level is less than 200, 200-240 is border line, and above 240 is dangerous. Assume the distribution is approximately Normal. For a randomly selected man from this group, what is the probability that his total cholesterol level is i. 200 or more? 1i. Between 200 and 240?
Assume that females have pulse rates that are normally distributed with a mean of 74.0 beats per minute and a standard deviation of 12.5 beats per minute. (a) If 1 adult female is randomly selected, find the probability that her pulse rate is less than 80 beats per minute. (Round your answer to 4 decimal places) (b) If 16 adult females are randomly selected, find the probability that they have pulse rates with a mean less than 80 beats per minute. (Round your answer to 4 decimal places)
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 $190,000. Assume the standard deviation is $34,000. Suppose you take a simple random sample of 15 graduates. Round all answers to four decimal places if necessary. What is the distribution of XX? XX ~ N(,) What is the distribution of ¯xx¯? ¯xx¯ ~ N(,) For a single randomly selected graduate, find the probability that her salary is between $180,932 and $187,421.
The average number of shoppers at a particular grocery store in one day is 505, and the standard deviation is 115. The number of shoppers is normally distributed. For a random day, what is the probability that there are between 200 and 400 shoppers at the grocery store? The answer should be typed as a decimal with 4 decimal places.
D = 129 , E = 56 , F = 134

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