The expression of 23/5 is 2.1
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>.
[1] There are two main values to science. The first is that mathematics is where we study numbers... and they appear everywhere in the world around us! We see whole numbers when we count, negative numbers when we are in debt (just look at the national debt!), fractions when we share things between people (think pizza, or chocolate bars, yum!), and decimals when we measure distances, lengths, areas, and sizes. In fact, numbers can be used to describe almost anything. Even color can be described as the amount of red, green, and blue light (the RGB system which is how computer screens work).
The second value to science is the thinking and ideas of mathematics. Mathematics is where we learn the ideas of distance and sizes (such as area and volume). It teaches us to ask, "How far?" or "How big?" These ideas are applied to study geography, biology, astronomy and more. We also learn to look for patterns. In math, these patterns are usually number or geometric patterns, but science applies this idea to discover patterns in the weather, agriculture, oceans, and more.
Answer:
x= 3.5 (nearest tenth)
Step-by-step explanation:
Please see the attached picture for the full solution.
