Answer:
a. p = the population proportion of UF students who would support making the Tuesday before Thanksgiving break a holiday.
Step-by-step explanation:
For each student, there are only two possible outcomes. Either they are in favor of making the Tuesday before Thanksgiving a holiday, or they are against. This means that we can solve this problem using concepts of the binomial probability distribution.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinatios of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
So, the binomial probability distribution has two parameters, n and p.
In this problem, we have that and
. So the parameter is
a. p = the population proportion of UF students who would support making the Tuesday before Thanksgiving break a holiday.
Answer:
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Step-by-step explanation:
Given
per hour
Required
Determine the expression for the cost in x hours
Represent the cost with y
y is calculated using the following expression
Where x represent the number of hours.
Substitute values for the base amount of bike and the additional cost per hour
<em>So, the expression to determine the cost of bike in x hours is: </em><em></em>
Answer:
a)
b)
Step-by-step explanation:
Given : We roll two fair 6-sided dice. Each of the 36 possible outcomes is assumed to be equally likely.
The outcomes are :
(1, 1) (1, 2) (1, 3) (1, 4) (1, 5) (1, 6)
(2, 1) (2, 2) (2, 3) (2, 4) (2, 5) (2, 6)
(3, 1) (3, 2) (3, 3) (3, 4) (3, 5) (3, 6)
(4, 1) (4, 2) (4, 3) (4, 4) (4, 5) (4, 6)
(5, 1) (5, 2) (5, 3) (5, 4) (5, 5) (5, 6)
(6, 1) (6, 2) (6, 3) (6, 4) (6, 5) (6, 6)
(a) Given that the roll results in a sum of 3 or more, find the conditional probability that doubles (the first and the second rolls result in the same number) are rolled.
Let P(A) be the probability of event that the roll results in a sum of 3 or more.
Except (1,1) rest sum is 3 or greater than 3.
So,
Now, P(A and B) is that the roll results in a sum of 3 or more and that doubles (the first and the second rolls result in the same number) are rolled.
i.e. (2,2), (3,3), (4,4), (5,5), (6,6) - 5
The conditional probability is given by,
(b) Given that the two dice land on different numbers, find the conditional probability that the sum is 5.
Let P(A) be the probability of event that two dice land on different numbers.
Except (1,1),(2,2), (3,3), (4,4), (5,5), (6,6) rest two dice land on different numbers.
So,
Now, P(A and B) is that two dice land on different numbers and the sum is 5.
i.e. (1,4), (2,3), (3,2), (4,1) - 4
The conditional probability is given by,
Answer:
see explanation
Step-by-step explanation:
Where the graph crosses the x- axis the y- coordinate is zero.
Let y = 0 in the equation and solve for x
- 4(0) = 15 - 5x, that is
15 - 5x = 0 ( subtract 15 from both sides )
- 5x = - 15 ( divide both sides by - 5 )
x = 3 ← x- intercept ⇒ (3, 0 )
Where the graph crosses the y- axis the x- coordinate is zero.
Let x = 0 in the equation and solve for y
- 4y = 15 - 5(0), that is
- 4y = 15 ( divide both sides by - 4 )
y = - ← y- intercept ⇒ (0, -
)