5) The width of bolts of fabric is normally distributed with mean 950 mm and standarddeviation 10 mm.a) What is the probability that a randomly chosen bolt has a width between 947 and958 mm?b) What is the approximate value of C such that a randomly chosen bolt has widthless than C with probability 0.8531?

Mean() = 950 mmStandard deviation() = 10

Answered: 5) The width of bolts of fabric is…

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 arrival schedule of an ETS train from Kuala Lumpur to Sungai Petani follows a normal distribution with the average train arrival at 0954 and a standard deviation of a 7.4 minutes. The train are expected to arrive at 0948. a) Find the probability that the train will be late but arrive before 1002 hours. b) If the probability that the train will be late is given as 0.025, find the arrival time of the train.
The heights of women are normally distributed with a mean of 63.6 inches and a standard deviation of 2.5 inches. (show all work)a) If an individual woman is randomly selected, what is the probability that she has a height between 63 and 65 inches?b) If 100 women are randomly selected, find the probability that they have a mean height greater than 64 inches.c) If 75 women are randomly selected, find the probability that they have a mean height less than 62.1 inches
Systolic blood pressure is normally distributed with a mean of 113.8 and a standard deviation of 10.8. Suppose a person is chosen at random.a) Find the probability that a randomly selected person will have a systolic blood pressure of less than 124.b) Find the probability that a randomly selected person will have a systolic blood pressure of more than 126.5c) Find the probability that a randomly selected person will have a systolic blood pressure of between 93 and 130
3. Let the weights of 1 kg tea boxes filled with an automatic machine have a normal distribution with a mean of µ=1.03 and a standard deviation of o=0.02 kg. a) What is the probability that any tea box will weigh less than 1 kg? b) What is the probability that any tea box will weigh higher than 1,06 kg?
2. A soft drink vending machine is set to dispense an average of 200 milliliters per cup. If the amount of beverage served is normally distributed with a standard deviation of 15 milliliters. a) What is the probability that a glass contains between 193 and 209 milliliters? b) What is the probability that the glasses will contain more than 224 milliliters? c) What is the probability that a sample of 9 drinks will have an average content greater than 212 milliliters?
8. The average cholesterol content of a certain brand of eggs is 215 milligrams, and the standard deviation is 15 milligrams. Assume the variable is normally distributed. a) If a single egg is selected, find the probability that the cholesterol content will be greater than 220 milligrams. b) Ifa sample of 25 eggs is selected, find the probability that the mean of the sample will be larger than 220 milligrams.
The ages of workers in the Illuminex plant are approximately normally distributed, with a mean of 45 years and a standard deviation of 12 years. A worker is stopped at random and asked to fill out a questionnaire. What is the probability that this worker is a) less than 30 years old?b) between 35 and 55 years old?c) more than 60 years old?
3. The taxi and takeoff time for commercial jets is a random variable x with a mean of 8 minutes and a standard deviation of 3 minutes. Assume that the distribution of taxi and takeoff times is approximately normal. a). Find the probability that for 36 jets the average taxi and takeoff time is less than 8.33 minutes per plane. b). Find the probability that for 36 jets the average taxi and takeoff times is more than 8.55 minutes.
A) When the weight of a parcel of oranges was measured, it was observed that the average 200 grams and standard deviation of 25 grams fit the normal distribution. This package contains 500 oranges. What is the probability that an orange selected from a carton is between 216 g and 234 g? (Including 216 g and 234 g) B) When the weight of a parcel of oranges was measured, it was observed that the average 200 grams and standard deviation of 25 grams fit the normal distribution. 12 out of 500 oranges in this package were under a certain weight and could not pass the test. How many grams or less did oranges fail the test? C) When the weight of a parcel of oranges was measured, it was observed that the average 190 grams and standard deviation of 25 grams fit the normal distribution. 9 out of 500 oranges in this package were under a certain weight and could not pass the test. How many grams or less did oranges fail the test? D) When the individual weight of a parcel (500 pieces) of…
4) Assuming that the weights of people are normally distributed with mean of 70 kg and standand deviation of 2 kg A lift is designed to sustain a maxinum load of 1500 kg. What is the probability that the lifi will be overloaded if there are twenty people in the lit?
The mean value of a can of super soda is 12 ounces, with a standard deviation of 0.6 ounces. the volumes of all cans of super soda are normally distributed. a) between what two values do 95% of the volumes of cans of soda lie? b) A random sample of 36 cans of soda is drawn. what is the probability of a can of super soda contains less than 11.8 ounces? c) for a random sample of 36 cans, what percent of cans of super soda contains less than 12.1 ounces?

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