Data collected from a coffee shop indicate that the price of a drink forms a consistent pattern that can be graphed as the given uniform density curve.
What proportion of drinks cost less than $5.50?

0.083
0.167
0.417
0.833

There are three sections that is split between 3-6. Say the drinks were less than $5, that means 2/3rds of the the drinks are less than $5. 2/3 is 0.666 and no other answers other than D are more than 0.666. Since our value is $5.50 and not $5 it is safe to assume our answer will be larger than 0.666. Using process of elimination your left with answer D. Not an exact explanation but I hope it helps you at least find the answer

joaobezerra joaobezerra · Answer 2 · 2021-10-19T14:18:12+02:00

Using the uniform distribution, it is found that 0.833 of drinks cost less than $5.50.

An uniform distribution has two bounds, a and b.

The probability of finding a value of at lower than x is:

[tex]P(X < x) = \frac{x - a}{b - a}[/tex]

In this problem, the distribution is uniform between 3 and 6, thus [tex]a = 3, b = 6[/tex].

The proportion of drinks that cost less than $5.50 is:

[tex]P(X < 5.5) = \frac{5.5 - 3}{6 - 3} = 0.833[/tex]

0.833 of drinks cost less than $5.50.

A similar problem is given at https://brainly.com/question/24746230

Data collected from a coffee shop indicate that the price of a drink forms a consistent pattern that can be graphed as the given uniform density curve. What proportion of drinks cost less than $5.50? 0.083 0.167 0.417 0.833

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Data collected from a coffee shop indicate that the price of a drink forms a consistent pattern that can be graphed as the given uniform density curve.
What proportion of drinks cost less than $5.50?

0.083
0.167
0.417
0.833