Answer:
61% of the time a person will wait at least 1.872 seconds before the wave crashes in.
Step-by-step explanation:
An uniform probability is a case of probability in which each outcome is equally as likely.
For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.
The probability that we find a value X lower than x is given by the following formula.

Uniform distribution from 0 to 4.8 seconds.
This means that 
61% of the time a person will wait at least how long before the wave crashes in?
This is the 100 - 61 = 39% percentile, which is x for which
. So




61% of the time a person will wait at least 1.872 seconds before the wave crashes in.
Answer:
= 0.42% probability that the first 2 presentations will be by Drake and Todd, in that order.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question, since the order in which the students are chosen is important, the permutations formula is used to solve it.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:

Desired outcomes:
Drake then Todd, so only one outcome, which means that 
Total outcomes:
Two students from a set of 16, so:

What is the probability that the first 2 presentations will be by Drake and Todd, in that order?

= 0.42% probability that the first 2 presentations will be by Drake and Todd, in that order.
You can't integrate this function
Answer:
a. 3/13 or 23.08%
b. 1/13 or 7.69%
c. 1/4 or 25.00%
d. 1/52 or 1.92%
Step-by-step explanation:
Number of cards in a deck = 52
a. A face card
Considering there are four suits and each suit has three different face cards, the probability that the card is a cafe card is:

b. A queen
There are 4 queens in the deck, on of each suit, thus the probability of getting a queen is:

c. A spade
There are four suits with the same number of cards in a deck, therefore, the probability of getting a spade is:

d. A jack of spades
Since there are no repeated cards, there is only one jack of spades in a 52 cards deck:
