Answer:
a) P(X = 0) = 0.5997
b) P(X = 9) = 0.0016
c) P(X = 8) = 0.0047
d) P(X = 5) = 0.4018
Step-by-step explanation:
These following problem are examples of the binomial probability distribution.
Binomial probability
Th 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 
is the probability of X happening.
(a) for n = 4 and π = 0.12, what is P(X = 0)?
(b) for n = 10 and π = 0.40, what is P(X = 9)?
(c) for n = 10 and π = 0.50, what is P(X = 8)?
(d) for n = 6 and π = 0.83, what is P(X = 5)?
8 ( 4 - x ) = 7x + 2
32 - 8x = 7x + 2
-7x -7x
--------------------------
32 - 15x = 2
-32 -32
----------------------------
-15x = -30
/-15 /-15
x = 2.
Answer:
0.08 g/cm³
Step-by-step explanation:
We are given;
- Mass of the liquid = 2 pounds
But; 1 pound = 453.592 g
Therefore, mass = 907.184 g
- Volume of the liquid = 3 gallons
But; 1 gallon = 3785.41 cm³
Thus, volume = 11356.23 cm³
We are required to determine the density of the liquid;
We need to know that;
Density = Mass ÷ Volume
Therefore;
density of the liquid = 907.184 g ÷ 11356.23 cm³
= 0.0799 g/cm³
= 0.08 g/cm³
Thus, the volume of the liquid is 0.08 g/cm³
Answer:
Step-by-step explanation:
There are three reasons here why randomization is not being applied.
First, the coach is only observing football players attending the meeting. This is not representative of the entire team.
Second, there is no selection process. The coach isn't using a random generator or using a similar method.
Third, the players are volunteering for the test. The results will be biased because of this.
