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pav-90 [236]
2 years ago
12

A computer is generating passwords. The computer generates six characters at random, and each is equally likely to be any of the

letters or digits. Replications are allowed. What is the probability that the password will contain all letters?

Mathematics
2 answers:
SVETLANKA909090 [29]2 years ago
4 0

Answer:

0.1419 ( (if upper and lower cases are interchangeable)

0.348 ( if upper and lower cases are distinct letters)

Step-by-step explanation:

Each digit has 36 possible choices as 26+10

computer generates six characters

there are only 26 choices for letters only, (if we assume upper and lower cases are interchangeable)

For number of letters-only arrangements = 26^{6} = 308915776

For number of alphanumeric arrangements = 36^{6}= 2176782336

In order to find the probability of letters-only arrangements : \frac{308915776}{2176782336}

=><u>0.1419</u>

Now, in different scenario if upper and lower cases are not interchangeable.

We will have 26+26+10=62 alphanumeric choices, and 52 alphabetic choices

Therefore, probability of letters-only arrangements will be \frac{52^{6} }{62^{6} }

=<u>>0.348</u>

Kipish [7]2 years ago
3 0

Answer:

The probability of all letters arrangement if the upper cases and the lower cases of the English alphabet are interchangeable = 14.2%

The probability of all letters arrangement if the upper cases and the lower cases are not interchangeable = 34.8%

Step-by-step explanation:

please kindly check the attached files for explanation.

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base^2 + perpendicular^2 = hypotanes^2

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Answer:

The highest total cholesterol level a man in this 35–44 age group can have and be in the lowest 10% is 160.59 milligrams per deciliter.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

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\mu = 210, \sigma = 38.6

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Z = \frac{X - \mu}{\sigma}

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X - 210 = -1.28*38.6

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The highest total cholesterol level a man in this 35–44 age group can have and be in the lowest 10% is 160.59 milligrams per deciliter.

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