Probability can be defined as the likelihood of an event to occur. In statistics, the mean of the sample distribution typically shows the probability of the population.

From the parameters given:

The sample size (n) = 55 patients
Let's assume that the mean (x) = 32 (i.e. 58.2%) of the patients

The sample proportion $\mathbf{\hat p}$ can be computed by using the expression:

$\mathbf{\hat p = \dfrac{x}{n}}$

$\mathbf{\hat p = \dfrac{32}{55}}$

$\mathbf{\hat p =0.582}$

If the percentage of the probability of all patients in the emergency room = 0.75

The probability that the proportion of patients who wait less than 30 minutes is 0.582 or less can be computed as:

$\mathbf{( \hat P \leq 0.582) = P \Big( \dfrac{\hat p - p}{\sqrt{\dfrac{p(1-p)}{n}}} \leq \dfrac{0.582 - 0.75}{\sqrt{\dfrac{0.75(1-0.75)}{55}}} \Big )}$

$\mathbf{( \hat P \leq 0.582 )= P \Big( Z \leq \dfrac{-0.168}{\sqrt{0.003409}} \Big )}$

$\mathbf{( \hat P \leq 0.582) = P \Big( Z \leq -2.88 \Big )}$

From the Z distribution table:

$\mathbf{( \hat P \leq 0.582) = 0.00198}$

$\mathbf{( \hat P \leq 0.582) \simeq 0.0020}$

Learn more about probability here:

brainly.com/question/24756209

5 0

3 years ago

Read 2 more answers

_______ view is used to size field names and controls and to apply formats.

k0ka [10]

First you must divided my the dividend and then add the whole number by number on your sheet!

3 0

3 years ago

MODS!!! OVER HERE PLEASE!!!!!!!!!!!!!! COME AND GET ME!!! iam back

hoa [83]

what are you talking about

8 0

3 years ago

The trade winds are winds that blow toward the Equator. Which of these is the main cause of the trade winds? A. the Earth's rota

dem82 [27]

Answer: A. The rotation of the earth on it's axis.

Explanation:

The rotation of the Earth on its axis deflects the atmosphere toward the right in the Northern Hemisphere and toward the left in the Southern Hemisphere, resulting in curved paths. The deflection of the atmosphere sets up the complex global wind patterns which drive surface ocean currents. This deflection is called the Coriolis effect. It is named after the French mathematician Gaspard Gustave de Coriolis (1792-1843), who studied the transfer of energy in rotating systems like waterwheels. (Ross, 1995).

6 0

3 years ago

Read 2 more answers