Industrialism had widened the technological gap between Africa and the West and industrialism led for a greater need for a secure and steady supply of raw materials, which Africa had in abundance, and for an increased desire for markets for the abundance of goods supplied.

8 0

2 years ago

Jennifer owes $150 to a credit card company. She makes a $18 purchase with the card, and then pays $60 on the account. What is h

Illusion [34]

Her current balance is -107

8 0

3 years ago

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If the wait time is less than 30 minutes for 75% of all patients in the emergency room, what is the probability that the

Greeley [361]

The probability that the proportion of patients who wait less than 30 minutes is 0.582 or less is 0.0020

<h3>What is probability? </h3>

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:

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