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3 years ago

Need help with all this

Mathematics

1 answer:

Inessa [10]3 years ago

7 0

✧･ﾟ: *✧･ﾟ:* *:･ﾟ✧*:･ﾟ✧

Hello!

✧･ﾟ: *✧･ﾟ:* *:･ﾟ✧*:･ﾟ✧

❖ To find the mean, add up all the numbers and divide by the amount of numbers there are. To find the range, subtract the highest number by the lowest number in the data set.

2. Mean = 35 Range = 78

3. Mean = 43 Range = 58

4. Mean = 63 Range = 73

5. Mean = 61 Range = 56

6. Mean = 55 Range = 83

7. Mean = 61 Range = 53

8. Mean = 60 Range = 75

9. Mean = 50 Range = 76

10. Mean = 50 Range = 81

~ ʜᴏᴘᴇ ᴛʜɪꜱ ʜᴇʟᴘꜱ! :) ♡

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AlekseyPX

Answer:

0.606531 = 60.6531% probability that it will take between 2 and 132 minutes for the student to arrive at the library parking lot.

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

$f(x) = \mu e^{-\mu x}$

In which $\mu = \frac{1}{m}$ is the decay parameter.

The probability that x is lower or equal to a is given by:

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The probability of finding a value higher than x is:

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Mean of 4 minutes

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Find the probability that it will take between 2 and 132 minutes for the student to arrive at the library parking lot:

This is:

$P(2 \leq X \leq 132) = P(X \leq 132) - P(X \leq 2)$

In which

$P(X \leq 132) = 1 - e^{-0.25*132} = 1$

$P(X \leq 2) = 1 - e^{-0.25*2} = 0.393469$

$P(2 \leq X \leq 132) = P(X \leq 132) - P(X \leq 2) = 1 - 0.393469 = 0.606531$

0.606531 = 60.6531% probability that it will take between 2 and 132 minutes for the student to arrive at the library parking lot.

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