What is probability?Multiple ChoiceAny value between 0 and 1 is always treated as a probability of an event.A numerical value as
1 answer:
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Answer:
The 33rd percentile of the time it takes Finn to get to work on any given day is 31.04 minutes.
There is a 61.92% probability that Finn took more than 40.5 minutes to get to work on the first day or more than 38.5 minutes to get to work on the second day.
Step-by-step explanation:
This can be solved by the the z-score formula:
On a normaly distributed set with mean and standard deviation
, the z-score of a value X is given by:
Each z-score value has an equivalent p-value, that represents the percentile that the value X is:
The problem states that:
Mean = 35, so
Variance = 81. The standard deviation is the square root of the variance, so .
Find the 33rd percentile of the time it takes Finn to get to work on any given day. Do not include any units in your answer.
Looking at the z-score table, has a pvalue of 0.333. So what is the value of X when
.
The 33rd percentile of the time it takes Finn to get to work on any given day is 31.04 minutes.
Over the next 2 days, find the probability that Finn took more than 40.5 minutes to get to work on the first day or more than 38.5 minutes to get to work on the second day.
is the probability that Finn took more than 40.5 minutes to get to work on the first day. The first step to solve this problem is finding the z-value of
.
has a pvalue of 0.7291. This means that the probability that it took LESS than 40.5 minutes for Finn to get to work is 72.91%. The probability that it took more than 40.5 minutes if
is the probability that Finn took more than 38.5 minutes to get to work on the second day. Sine the probabilities are independent, we can solve it the same way we did for the first day, we find the z-score of
has a pvalue of 0.6517. This means that the probability that it took LESS than 38.5 minutes for Finn to get to work is 65.17%. The probability that it took more than 38 minutes if
So:
There is a 61.92% probability that Finn took more than 40.5 minutes to get to work on the first day or more than 38.5 minutes to get to work on the second day.
Answer:
10
Step-by-step explanation:
I first took away 60 from 195, as she already had 60 points. Than we were left with 135 points and since she gets 13.5 points every time she visits, I divided 135 by 13, which gives us 10.
