Answer:
Therefore, the probability that at least half of them need to wait more than 10 minutes is <em>0.0031</em>.
Step-by-step explanation:
The formula for the probability of an exponential distribution is:
P(x < b) = 1 - e^(b/3)
Using the complement rule, we can determine the probability of a customer having to wait more than 10 minutes, by:
p = P(x > 10)
= 1 - P(x < 10)
= 1 - (1 - e^(-10/10) )
= e⁻¹
= 0.3679
The z-score is the difference in sample size and the population mean, divided by the standard deviation:
z = (p' - p) / √[p(1 - p) / n]
= (0.5 - 0.3679) / √[0.3679(1 - 0.3679) / 100)]
= 2.7393
Therefore, using the probability table, you find that the corresponding probability is:
P(p' ≥ 0.5) = P(z > 2.7393)
<em>P(p' ≥ 0.5) = 0.0031</em>
<em></em>
Therefore, the probability that at least half of them need to wait more than 10 minutes is <em>0.0031</em>.
Answer:
Answer is h(0)=1
Step-by-step explanation:
All you have to do is substitute x with 0 in the original equation.
The equation that models the situation is 15x + 9y = 450
The x-intercept is (30, 0) and the y-intercept is (0, 50)
Given the following parameters:
- Cost of concert tickets for general admission= $15
- Cost of a ticket for those with student ID = $9
Given that the total sales is $450, the equation that models this situation will be expressed as:
where:
x is the those that admitted generally
y are those with student ID
<u />
<u>Get the x-intercept.</u>
This is a point where the y-axis is zero
15x + 9y = 450
15x + 9(0) = 450
15x = 450
x = 450/15
x = 30
Thee x-intercept is (30, 0)
<u>Get the y-intercept.</u>
This is a point where the x-axis is zero
15(0) + 9y = 450
0 + 9y = 450
9y = 450
y = 450/9
x = 50
The y-intercept is (0, 50)
Learn more on intercepts here: brainly.com/question/24212383
the formula for volume of a prism is base x height
