Discrete probability distributions

In summary, the manufacturer claims their batteries can run for an average of 100 minutes under a 75 amp discharge test, with a standard deviation of 5 minutes. To ensure at least 90% of the batteries perform within a certain range, we can use the interval (85,115). As for the likelihood of batteries dying out in less than 80 minutes, it is uncertain as we do not have enough information to determine how many standard deviations 80 minutes is from the average. Additional data or tables would be needed to make a more accurate estimation.
  • #1
Mdhiggenz
327
1

Homework Statement



A certain manufacture advertises batteries that will run under a 75 amp discharge test for an average of 100 minutes, with standard deviation of 5 minutes.

a. find an interval that must contain at least 90% of the performance periods fr batteries of this type.

b. would you expect many batteries to die out in less than 80min why or why not?

I solved a. to be (85,115)

however I'm not quite sure what to do about B. I would guess and say that know due to the interval which is from 85 to 115 which would mean that the battery life generally last in that range however, I'm just speculating.


Thanks

Higgenz


Homework Equations





The Attempt at a Solution

 
Physics news on Phys.org
  • #2
How many standard deviations would 80 min be from the average? Do you have any tables which tell you the percentage of a normal distribution that would be that far or further below the mean?
 

FAQ: Discrete probability distributions

1. What is a discrete probability distribution?

A discrete probability distribution is a statistical concept that describes the probability of each possible outcome in a discrete set of data. This means that the data can only take on certain values, and the probability of each value occurring is known.

2. What are some examples of discrete probability distributions?

Some examples of discrete probability distributions include the binomial distribution, Poisson distribution, and geometric distribution. These are commonly used to model outcomes such as the number of heads in a series of coin flips, the number of customers entering a store in a given time period, and the number of trials needed to achieve a certain outcome.

3. How is a discrete probability distribution different from a continuous probability distribution?

A discrete probability distribution deals with discrete data, meaning the possible outcomes are countable and finite. In contrast, a continuous probability distribution deals with continuous data, meaning the possible outcomes can take on any value within a certain range. For example, the number of children in a family is a discrete variable, while the height of a person is a continuous variable.

4. How is a discrete probability distribution calculated?

A discrete probability distribution is calculated by finding the probability of each possible outcome and assigning it a numerical value. The sum of all these probabilities should equal 1. For example, in a coin flip where the outcome can be either heads or tails, the probability of each outcome is 0.5, and the sum of these probabilities is 1.

5. What is the importance of discrete probability distributions in scientific research?

Discrete probability distributions are important in scientific research as they allow us to model and analyze real-world phenomena that can only take on certain outcomes. They also provide a way to make predictions and draw conclusions based on data that may be limited or difficult to obtain. Additionally, many statistical tests and methods rely on the assumption of a certain type of probability distribution, so understanding these concepts is crucial in conducting accurate research.

Similar threads

Getting the probability distribution of a random variable
Replies
2
Views
282
Quick question about normal distributions
Replies
1
Views
5K
Uniform Distribution Probability
Replies
2
Views
7K
Exercise on Poisson distribution
Replies
3
Views
2K
Time average in a continuum probability distribution
Replies
6
Views
2K
Discrete probability distribution
Replies
8
Views
2K
Probability Density: Battery Life Homework
Replies
6
Views
2K
Independent Process Probability distribution
Replies
10
Views
5K
What Distribution Does X_1 Follow in a Divided Interval Probability Problem?
Replies
4
Views
2K
Hypothesis testing, P-value, β-error, sample size for β<=0.1
Replies
4
Views
2K

Hot Threads

Recent Insights

Back
Top