3. Assume that the weights of individuals are independent and normally distributed with amean of 130 pounds and a standard deviation of 5 pounds. Suppose that 5 people squeezeinto an elevator that is designed to hold 1000 pounds.(a) Calculate the probability that the load (total weight) exceeds the design limits.(b) What design limits is exceeded by 10 occupants with probability 0.01?

The random variable X is normally distributed with a mean of 130 pounds and a standard deviation of…

Answered: 3. Assume that the weights of…

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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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?
The weights of a population of barrels are normally distributed with a mean of 45.0 lb and a standarddeviation of 7.9 lb a. If I randomly select a barrel, what is the probability that it will be heavier than 50 lb, (and I’ll havetrouble lifting it)? Use formula/chart.
The mean incubation time for a type of fertilized egg kept at a certain temperature is 22 days. Suppose that the incubation times are approximately normally distributed with a standard deviation of 2 days. Complete parts (a) through (e) below. b. Find and interpret the probability that a randomly selected fertilized egg hatches in less than 20 days. c. Find and interpret the probability that a randomly selected fertilized egg takes over 24 days to hatch. d. Find and interpret the probability that a randomly selected fertilized egg hatches between 18 and 22 days. e. Would it be unusual for an egg to hatch in less than 16 days? Why? The probability of an egg hatching in less than 16 days is __ so it would not or would be unusual, since the probability is greater or less than 0.05.
The height of a certain population of female teenagers is approximately normallydistributed with a mean of 155 cm and a standard deviation of 7 cm. Find the probability that a randomly selected teenager has height (a) between 145 and 165 cm,(b) more than 150 cm, and (c) less than 169 cm. NOTE: Please explain each part, so the problem can be used as a Study Guide
An elevator has a placard stating that the maximum capacity is 4400 lb-29 passengers. So, 29 adult male passengers can have a mean weight of up to 4400/29 = 152 pounds. Assume that weights of males are normally distributed with a mean of 180 lb and a standard deviation of 29 lb. a. Find the probability that 1 randomly selected adult male has a weight greater than 152 lb. b. Find the probability that a sample of 29 randomly selected adult males has a mean weight greater than 152 lb. c. What do you conclude about the safety of this elevator? a. The probability that 1 randomly selected adult male has a weight greater than 152 lb is ☐ (Round to four decimal places as needed.)
Suppose that the number of customers who enter a supermarket each hour is normally distributed with a mean of 650 and a standard deviation of 230. The supermarket is open 15 hours per day. What is the probability that the total number of customers who enter the supermarket in one day is greater than 10400? (Hint: Calculate the average hourly number of customers necessary to exceed 10400 in one 15-hour day.) Probability =
Assume that women's weights are normally distributed with a mean given by μ=143 lb and a standard deviation given by 29 lb.(a) If 1 woman is randomly selected, find the probabity that her weight is between 113 lb and 172 lb(b) If 3 women are randomly selected, find the probability that they have a mean weight between 113 lb and 172 lb(c) If 73 women are randomly selected, find the probability that they have a mean weight between 113 lb and 172 lb
Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find the probability of obtaining a reading greater than -0.71°C.
Suppose collection of all quiz marks of a class of students is normally distributed with a mean of 7 and a standard deviation of 1. Calculate the probability that a student will receive a mark less than 5.

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