Hi, sorry i couldn't understand the format of the question, could you post a picture of the question please?
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>.
For this you need to use the reverse cosine function
Cos^-1 (.25)
75.6
Answer:
Nevan won the game.
He scored 183 points.
Explanation:
Correct answer is worth 13/4 points
Incorrect answer is worth -1/4 points.
Number of correct answers = 58
Number of incorrect answers = 22
Point scored 
Points need to win = 90 points
Point scored, 183 >Points need to win, 90
So, Nevan won the game.
