Answer:
robability formula is the ratio of number of favorable outcomes to the total number of possible outcomes. Measures the likelihood of an event in the following way: - If P(A) > P(B) then event A is more likely to occur than event B. - If P(A) = P(B) then events A and B are equally likely to occur.
Step-by-step explanation:
Answer:
The set is <u>Infinite</u>
Step-by-step explanation:
Infinite sets are ≥ greater than 1 and sometimes has an <u>N</u>
The number of DVDs that will be checked out for every 100 patrons will be 20.
<h3>How to find that a given condition can be modeled by binomial distribution?</h3>
Binomial distributions consist of n independent Bernoulli trials.
Bernoulli trials are those trials that end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))
Suppose we have random variable X pertaining to a binomial distribution with parameters n and p, then it is written as

The probability that out of n trials, there'd be x successes is given by

The expected value of X will be:

The information is given in the table.
The probability of getting DVDs will be

The value of n is 100.
Then the number of DVDs that will be checked out for every 100 patrons will be

Learn more about binomial distribution here:
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Answer:
311.6 cm
Step-by-step explanation:
To solve this problem, let's call:
k = Keith's height
n = nephew's height
Since the ratio is 15:7, we have
(1)
Then, Keith's height is increased by 16%, so the new height of Keith is
(2)
While the nephew's height is doubled:
(3)
We also know that Keith is now 34 cm taller than his nephew, so
(4)
Substituting (2) and (3) into (4), we get

And substituting (1),

Solving for n,

So the current height of the nephew is:

While Keith's current height is

So their total current height is

Answer:
Explanation:
The general formula to calculate the probability of each event is:
- Probability = number of positive (desired) outcomes / number of total outcomes
Number of apples = 4
Number of peaches = 5
Number of fruits = 9
Since the three times you return the radomly selected fruit, and then mix it, the three times the probability is not affected by the previous selection; so, these are independent events, and you can calculate the probability of the joint event as the product of the probabilities of each individual event.
Probability of getting an apple = number of apples / number of fruits = 4 / 9
Probability of getting a peach = number of peaches / number of fruits = 5 / 9
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Probability of getting a peach = number of peaches / number of fruits = 5 /9
- <u>Joint probability:</u>
= (4/9) × (5/9) × (5/9) = (4 × 5 × 5) / (9 × 9 × 9) = 100 / 729