The probability that the thread length of a bolt lies within 1.5σ from the expected value is approximately 0.8664.
The probability that the thread length of a bolt is further than 2.5σ from the expected value is approximately 0.0124.
The probability of the bolt thread length between σ and 2σ from the expected value is 0.271811.
If bolt thread length is normally distributed, calculate the following proba- bilities: (1) (2 points) The...
If bolt thread length is normally distributed, what is the probability that the thread length of a randomly selected bolt isa) Within 1.5 SDs of its mean valueb) Farther than 2.5 SDs from its mean valuec) Between 1 and 2 SDs from its mean value
1) What is the probability of a randomly selected value from a normally distributed population falling within 1.5 standard deviations of the mean? 8) What is the probability of a randomly selected value from a normally distributed population NOT being between 0.68 standard deviations below the mean and 1.5 standard deviations above the mean? ***For the following questions, assume a business has an average daily revenue of $1200 and revenue levels are found to be normally distributed with a standard...
1) a) A manufacturer knows that their items have a normally distributed length, with a mean of 13.4 inches, and standard deviation of 2 inches. If one item is chosen at random, what is the probability that it is less than 7.5 inches long? b) A manufacturer knows that their items lifespans are normally distributed with mean = 14.2 and standard deviation = 3.9. What proportion of the items' lifespans will be longer than 25 years? c) A particular fruit's...
Question 3: a.) A manufacturer knows that their items have a normally distributed length, with a mean of 19.6 inches, and standard deviation of 2.4 inches. If 4 items are chosen at random, what is the probability that their mean length is less than 17.5 inches? b.) A manufacturer knows that their items have a normally distributed lifespan, with a mean of 7.5 years, and standard deviation of 0.7 years. If you randomly purchase 14 items, what is the probability...
A manufacturer knows that their items have a normally distributed length, with a mean of 18.8 inches, and standard deviation of 1.5 inches. If 10 items are chosen at random, what is the probability that their mean length is less than 17.7 inches?
A manufacturer knows that their items have a normally distributed length, with a mean of 18.8 inches, and standard deviation of 1.5 inches. If 10 items are chosen at random, what is the probability that their mean length is less than 17.7 inches?
1. 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 less than 1.089°C. P(Z<1.089)=P(Z<1.089)= (Round answer to four decimal places.) 2. 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...
The upper leg length of 20- to 29-year-old males is Normally distributed with a population mean length, , of 43.7 cm and a population standard deviation, , of 4.2 cm. Suppose we take a random sample of 100 20- to 29-year-old males. (a) (2 points) What value should we expect for the mean weight of this sample of 100 males? (2 points) What is the standard error (3 points) Show that the CLT conditions for means are satisfied. Be sure...
1. The patient recovery time from a particular surgical procedure is normally distributed with a mean of 5.9 days and a standard deviation of 2.1 days. What is the probability of spending more than 2 days in recovery? (Round your answer to four decimal places.) 2. The patient recovery time from a particular surgical procedure is normally distributed with a mean of 5.8 days and a standard deviation of 2.4 days. What is the 90th percentile for recovery times? (Round...
A manufacturer knows that their items have a normally distributed length, with a mean of 18 inches, and standard deviation of 5.7 inches. If one item is chosen at random, what is the probability that it is less than 13 inches long? A manufacturer knows that their items have a normally distributed lifespan, with a mean of 2.7 years, and standard deviation of 0.7 years. If you randomly purchase one item, what is the probability it will last longer than...