Answer: the probability that exactly two of the next five people who apply to that university get accepted is 0.23
Step-by-step explanation:
We would number of people that applies for admission at the university and gets accepted. The formula is expressed as
P(x = r) = nCr × p^r × q^(n - r)
Where
x represent the number of successes.
p represents the probability of success.
q = (1 - p) represents the probability of failure.
n represents the number of trials or sample.
From the information given,
p = 0.6
q = 1 - p = 1 - 0.6
q = 0.4
n = 5
the probability that exactly two of the next five people who apply to that university get accepted is
P(x = 2) = 5C2 × 0.6^2 × 0.4^(5 - 2)
P(x = 2) = 10 × 0.36 × 0.064
P(x = 2) = 0.23
Frederick is working on a number puzzle and discovers that the product of the two base numbers is exactly twice as large as the sum of those same base numbers.
Help on this, please?
Answer:
The sample size is 
Step-by-step explanation:
From the question we are told that
The margin of error is E = 1.5 seconds
The standard deviation is s = 4 seconds
Given that the confidence level is 97% then the level of significance is mathematically represented as

=> 
Generally from the normal distribution table the critical value of
is
Generally the sample size is mathematically represented as
![n =[ \frac{Z_{\frac{\sigma }{2 } } * \sigma }{E} ]^2](https://tex.z-dn.net/?f=n%20%20%3D%5B%20%20%5Cfrac%7BZ_%7B%5Cfrac%7B%5Csigma%20%7D%7B2%20%7D%20%7D%20%2A%20%20%5Csigma%20%7D%7BE%7D%20%5D%5E2)
=> ![n =[ \frac{2.17 * 4 }{1.5} ]^2](https://tex.z-dn.net/?f=n%20%20%3D%5B%20%20%5Cfrac%7B2.17%20%20%2A%204%20%7D%7B1.5%7D%20%5D%5E2)
=> 

F ∪ H is defined as the set that consists of all elements belonging to either set F or set H (or both).
F ∩ H is defined as the set composed of all elements that belong to both F and H