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GrogVix [38]
3 years ago
12

You pick 5 digits (0-9) at random without replacement, and write them in the order picked. What is the probability that you have

written the first 5 digits of your phone number? Assume there are no repeats of digits in your phone number
Mathematics
1 answer:
Tanzania [10]3 years ago
4 0

Answer:

Probability is : 1/30240= 0.000033068

Step-by-step explanation:

You pick 5 digits (0-9) at random without replacement, and write them in the order picked.

The probability that you have written the first 5 digits of your phone number is -

As there are no repeats, the choice to choose from decreases at each step making it 10,9,8,7,6.

(1/10)(1/9)(1/8)(1/7)(1/6)=1/30240= 0.000033068

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The reading speed of second grade students in a large city is approximately normal, with a mean of 90 words per
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The probability that a random sample of 10 second grade students from     the city results in a mean  reading rate of more than 96 words per minute

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Step-by-step explanation:

<em>Explanation</em>:-

<em>Given sample size 'n' =10</em>

<em>mean of the Population = 90 words per minute</em>

<em>standard deviation of the Population =10 wpm </em>

<em>we will use formula</em>

<em>                            </em>Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }<em></em>

<em>Let X⁻  = 96</em>

                           Z = \frac{96-90 }{\frac{10}{\sqrt{10} } }

                          Z =  1.898

<em>The probability that a random sample of 10 second grade students from     the city results in a mean  reading rate of more than 96 words per minute</em>

<em></em>P(X^{-}>x^{-} ) = P(Z > z^{-} )<em></em>

<em>                    = 1- P( Z ≤z⁻)</em>

<em>                    = 1- P(Z<1.898)</em>

                   = 1-(0.5 +A(1.898)

                   = 0.5 - A(1.898)

                   = 0.5 -0.4641 (From Normal table)

                  = 0.0359

<u><em>Final answer</em></u>:-

The probability that a random sample of 10 second grade students from  

                = 0.0359

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3 years ago
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