A recent study of the lifetimes of cell phones found the average is 24.3 months. The standard deviation is 2.6 months. If a company provides its 33 employees with a cell phone, find the probability that the mean lifetime of these phones will be less than 23.8 months



Answer :

An ordinary bend is a ringer molded bend that gives probabilities of irregular factors taken in a nonstop conveyance. The z score formula is used to standardize the random variables into a z score.

Using the z score formula and the z table, standardize the value of x and use it to denote the cellphone's lifetime in months.

For what reason is likelihood region under typical bend?

The area under the probability density function curve in a given range is the probability that a continuous random variable fall within a given range. Because the value of a random variable must be in the sample space, the total area under the curve for any pdf is always 1.

What is the absolute likelihood under the ordinary circulation bend?

A continuous probability distribution is the normal distribution. Probability is affected in multiple ways by this. 1 is the total area under the normal curve. A normal random variable X has a 0 chance of matching any given value.

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Full Question = A recent study of the lifetimes of cell phones found the average is 24.3 months. The standard deviation is 2.6 months. If a company provides its employees with a cell phone, find the probability that the mean lifetime of these phones will be less than 23.8 months. Assume cell phone life is a normally distributed variable.