3) A car manufacturer knows that the service life (in months) of the emission sensors in...
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...
The life spans of car batteries are normally distributed, with a mean of 62 months and a standard deviation of 5 months. (a) Find the probability that the life span of a randomly selected battery is less than 42 months. (b) Find the probability that the life span of a randomly selected battery is between 44 and 56 months. (c) What is the shortest life expectancy a car battery can have and still be in the top 5% of life...
A manufacturer knows that their items have a normally distributed lifespan, with a mean of 10.9 years, and standard deviation of 2.4 years. If you randomly purchase 9 items, what is the probability that their mean life will be longer than 12 years?
A manufacturer knows that their items have a normally distributed lifespan, with a mean of 7.8 years, and standard deviation of 2.5 years. If you randomly purchase 15 items, what is the probability that their mean life will be longer than 7 years?
A manufacturer knows that their items have a normally distributed lifespan, with a mean of 13 years, and standard deviation of 2.5 years. If you randomly purchase one item, what is the probability it will last longer than 20 years? A manufacturer knows that their items have a normally distributed lifespan, with a mean of 5.8 years, and standard deviation of 1.9 years. The 5% of items with the shortest lifespan will last less than how many years?
4. A manufacturer knows that their items have a normally distributed lifespan, with a mean of 14.4 years, and standard deviation of 3.2 years. If you randomly purchase 21 items, what is the probability that their mean life will be longer than 15 years? (Give answer to 4 decimal places.) 5. A particular fruit's weights are normally distributed, with a mean of 704 grams and a standard deviation of 12 grams. If you pick 12 fruit at random, what is...
A manufacturer knows that their items have a normally distributed lifespan, with a mean of 2.2 years, and standard deviation of 0.7 years. If you randomly purchase 23 items, what is the probability that their mean life will be longer than 2 years? (Give answer to 4 decimal places.)
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...
Quick Start Company makes 12-volt car batteries. After many years of product testing, the company knows that the average life time(x) of a Quick Start battery is normally distributed with a mean of 45 months and a standard deviation of 8 months. What is the probability that a randomly picked 12-volt car battery that was produced by Quick Start Company has a life time that is less than 36 months?
A manufacturer knows that their items have a normally distributed lifespan, with a mean of 2.3 years, and standard deviation of 0.6 years. If you randomly purchase one item, what is the probability it will last longer than 4 years?