Tania is going to make soup. She combines 225 grams of water with 300 grams of condensed soup. Tania then adds 50 grams of celer
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Answer:
47.73% probability that it takes Renee at most 29 minutes to go grocery shopping
Step-by-step explanation:
An uniform probability is a case of probability in which each outcome is equally as likely.
For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.
The probability that we find a value X lower than x is given by the following formula.
Uniformly distributed between 18.5 minutes and 40.5 minutes.
This means that
What is the probability that it takes Renee at most 29 minutes to go grocery shopping
47.73% probability that it takes Renee at most 29 minutes to go grocery shopping
Answer:
And using the normal standard table or excel we find the probability:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the avergae number of weeks an individual is unemployed of a population, and for this case we know the distribution for X is given by:
Where and
Since the distribution for X is normal then, the distribution for the sample mean is given by:
We select a sample of n =50 people. And we want to find the following probability
And using the normal standard table or excel we find the probability: