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Vikentia
2 months ago
9

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

variable ranging from 2 to 7. Find the mean and standard deviation of this random variable. (Round your answers to 2 decimal places.) Mean Standard deviation
Mathematics
1 answer:
Inessa [12.5K]2 months ago
7 0

Answer:

The average is 4.5 and the standard deviation measures 1.44.

Step-by-step explanation:

A uniform probability distribution is one where every outcome is equally probable.

This situation defines a lower limit we call 'a' and an upper limit referred to as 'b.'

The average of the uniform probability distribution is expressed as:

M = \frac{(a + b)}{2}

The standard deviation associated with this distribution is calculated as:

S = \sqrt{\frac{(b-a)^{2}}{12}}

This represents a uniformly distributed random variable spanning from 2 to 7.

This implies that a = 2, b = 7.

Hence

M = \frac{(2 + 7)}{2} = 4.5

S = \sqrt{\frac{(b-a)^{2}}{12}} = \sqrt{\frac{(7 - 2)^{2}}{12}} = 1.44

The mean is 4.5 and the standard deviation is 1.44.

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Anthony is informed that there is a 10% chance that he will be hired by the prestigious Acme corporation. He believes that, give
Zina [12379]

Answer:

8% likelihood that Anthony may soon join the Acme golf team

Step-by-step explanation:

The probabilities are as follows:

10% chance of being hired by the corporation.

If hired, an 80% probability of making the golf team is expected.

Given this information, we can calculate the probability of Anthony soon playing on the Acme golf team as:

80% of 10%

Thus

P = 0.8*0.1 = 0.08

8% chance that Anthony will soon be part of the Acme golf team

4 0
28 days ago
PLEASE HELP!!!
lawyer [12517]
The <span>root<span> of a numeral x represents another number that, when multiplied by itself for a specific amount of times, results in x. For instance, the square <span>root<span> of 9 is 3, given that 3 x 3 equals 9. The square <span>root<span> is the term commonly used for the second <span>root<span>. Meanwhile, the term for the third <span>root<span> is known as the cube <span>root<span>. Refer to <span>Root<span> (of a number). because then/</span> </span></span></span></span></span></span></span></span></span></span></span></span></span>
7 0
1 month ago
Read 2 more answers
Of 50 people, 38 have brown hair, 29 have brown eyes, and 23 have both brown hair and brown eyes. how many have neither brown ha
babunello [11817]
Is the process like this: 38+29=67, then 67-23=44
50-44=6
thus possibly A?
8 0
21 day ago
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The domain of f(x) is the set of all real values except 7, and the domain of g(x) is the set of all real values except –3. Which
Svet_ta [12734]

Answer: All real numbers except for x ≠ 7 and those x for which f(x)≠-3

Step-by-step explanation:

The domain of function f is defined as R - {7}

In other words, if x belongs to the domain of f,

then, x cannot equal 7

(gof)(x) = g(f(x))

Considering that g has a domain of R - {-3}

Therefore, if f(x) fits within the domain of g,

it follows that f(x)≠ -3

Consequently, the fourth option is the right choice.

8 0
1 month ago
The expression 17n+11 represents the perimeter of a triangle. The other two sides measure 4n+5 and 5n+6. A simplified expression
Zina [12379]

Response: 8n

==========================================================

Clarification:

The two sides, 4n+5 and 5n+6, comprise terms 4n and 5n which total to 9n. We require 8n to add to this to achieve 17n. In simpler terms, 4n + 5n + 8n = 9n + 8n = 17n

That is the reason why the outcome is 8n. There are no additional terms because the "+5" and "+6" in the two given expressions (4n+5 and 5n+6) sum to 5+6 = 11, matching what we aim for in the perimeter expression 17n + 11

Side 1 = 4n + 5

Side 2 = 5n + 6

Side 3 = 8n

Perimeter = (side1) + (side2) + (side3)

Perimeter = (4n + 5) + (5n + 6) + (8n)

Perimeter = 4n + 5 + 5n + 6 + 8n

Perimeter = (4n + 5n + 8n) + (5 + 6)

Perimeter = 17n + 11

So this confirms we possess the correct expression for the third side that is missing.

3 0
25 days ago
Read 2 more answers
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