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The number of tickets purchased by an individual for Beckham College's holiday music festival is a uniformly distributed random

Zanzabum

1) Mean: 6.5

2) Standard deviation: 3.2

Step-by-step explanation:

1)

A uniform random distribution is the distribution of a variable that can assume n different values, and each of these values is equally likely to occur.

This means that the probability of occurring of each of these values is the same:

$p(x_1)=p(x_2)=...=p(x_n)$

For a uniform random distribution, the mean of the distribution is simply equal to the median value of the distribution, which is exactly at the center of the distribution itself. It can be calculated as

$\bar x = \frac{1}{2}(a+b)$

where

a is the lowest value of the distribution

b is the highest value of the distribution

Here the distribution consists of all values ranging from 1 to 12, so:

a = 1

b = 12

Therefore the mean value is

$\bar x=\frac{1}{2}(1+12)=6.5$

2)

For a uniform random distribution, it can be dimostrated that the variance of the distribution is

$\sigma^2 = \frac{1}{12}(b-a)^2$

For the distribution in this problem, we have:

a = 1

b = 12

Therefore the variance is

$\sigma^2 = \frac{1}{12}(12-1)^2=10.08$

The standard deviation is the square root of the variance, therefore for this distribution it is:

$\sqrt{\sigma^2}=\sqrt{10.08}=3.2$

Learn more about mean and standard deviation:

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3 0

3 years ago

A large bacterium measures 750 micrometers in diameter. One micrometer = 10 − 6 meters. How would you express the diameter of th

ANEK [815]

Answer:

7.5 * 10^-4

Step-by-step explanation:

To express this, we will have to multiply 750 by the conversion unit

we have this as;

750 * 10^-6

750 = 7.5 * 10^2

so we have;

7.5 * 10^2 * 10^-6

= 7.5 * 10^(-6+2)

= 7.5 * 10^-4

7 0

3 years ago

The table to the right shows selected ages of licensed drivers in one country and the corresponding percentiles. Find the percen

PolarNik [594]

Answer:

66%

Step-by-step explanation:

Given :

Age Percentile

75 97

65 90

55 78

45 58

35 37

25 13

20 66

To Find :The percentage of drivers who are younger than 20 is _____%.

Solution:

Refer the given table

The percentile corresponding to age 20 is 66.

Percentile : A data item is said to be in nth percentile of distribution if n% of the distribution are less than that particular data item.

So, drivers who are younger than 20 are said to be in 66 percentile if 66%of the distribution are less than that particular data item.

Hence The percentage of drivers who are younger than 20 is 66%.

7 0

3 years ago

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Graph each function as a translation of its parent function, f. How did the transformation affect the domain and range? g(x) = (

Natali [406]

Answer:

A trapezoid is shown below.

30665