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>.
The answer should be an acute scalene triangle.
Hope this helped! ♡
Answer:
<u>212,400 items</u> were sold in 10 months.
Step-by-step explanation:
Given:
Items sold this month = 70,800
Percent Increase in every month = 20%
We need to find number of items sold in coming 10 months.
Solution:
First we will find number of items increase in each month.
number of items increase in each month can be calculated by Percent Increase in every month multiplied by Items sold this month and the divided by 100.
number of items increase in each month = 
Now we will find number of item sold in 10 months.
number of item sold in 10 months is equal to sum of Items sold this month and number of items increase in each month multiplied by 10.
framing in equation form we get;
number of item sold in 10 months = 
Hence <u>212,400 items</u> were sold in 10 months.
3*567=1701 because you have to muply
You'd move the decimal to the right twice so 0.0514 as a percentage is <span>5.14%</span>
