Do you know how to solve this??
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:
yes it is u are correct
Step-by-step explanation: plz mark brainliest
The factored form of the expression 10x² -x - 2 is (5x+2)(2x-1)
<h3>Factorizing quadratic equations</h3>
Factorization is a way of simplify. Given the equation 10x² -x - 2
Factorize the given expression
10x² -x - 2
Separate the middle term into -5x and 4x to have;
10x² - 5x + 4x - 2
Factor out the GCF
5x(2x-1)+2(2x-1)
Hence the factored form will be;
(5x+2)(2x-1)
The factored form of the expression 10x² -x - 2 is (5x+2)(2x-1)
Learn more on factoring here: brainly.com/question/24734894
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Answer:
The dog could have had rabies
Step-by-step explanation:
