Given:
Jennifer and Jane are best friends. They placed a map of their town on a coordinate grid and found the point at which each of their house lies. If Jennifer's house lies at (2, 12) and Jane's house is at (16, 2) and they wanted to meet in the middle.
Required:
Answer:
No, the given procedure doesn't result in a binomial distribution.
Step-by-step explanation:
We can identify if a given procedure results in binomial distribution by observing whether these four conditions are met or not.
Condition 1: Each observation should be independent, it must not depend on the result of previous observation.
Condition 2: The probability of success should stay same from trial to trial.
Condition 3: n is fixed (the number of observations)
Condition 4: There are only two outcomes success or failure.
Surveying 2828 people to determine which statistics courses they have taken.
Condition 3 is satisfied since n is fixed
Condition 1 is satisfied since each observation is independent
Condition 4 is not satisfied since there can be more than 2 answers from the people (statistics courses can be many).
Ima guess with 1/3. i’m not sure
Answer:
The probability that the diameter falls in the interval from 2499 psi to 2510 psi is 0.00798.
Step-by-step explanation:
Let's define the random variable,
"Comprehensive strength of concrete". We have information that
is normally distributed with a mean of 2500 psi and a standard deviation of 50 psi (or a variance of 2500 psi). In other words,
.
We want to know the probability of the mean of X or
that falls in the interval
. From inference theory we know that :

Now we can find the probability as follows:

Where
, then:
