A and X are two independent events , Option A is the correct answer.
<h3>When is Probability ?</h3>
Probability is the likelihood of an event to happen
A two way table is given
The two events will be independent when
If A is the first event and B is the second event , then
P(A) = P(A|B)
Here the P(A) = 30/100 = 0.3
P(B) = 20/100 = 0.2
P(A|X) = 15/50 = 0.3
P(A) = P(A|X)
Therefore A and X are two independent events , Option A is the correct answer.
To know more about Probability
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Answer:
The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept.
Step-by-step explanation:
If you know two points that a line passes through, this page will show you how to find the equation of the line.
Answer:
54
Step-by-step explanation:
7(6)-4(6-6)+12
42-0+12
54
Answer:
5 cm
Step-by-step explanation:
We know these are similar triangles, so we can use ratios of side lengths
x/40 = 4/32
Using cross products
32x = 4*40
32x = 160
Divide each side by 32
32x/32 = 160/32
x =5
Answer:
The probability that an 18-year-old man selected at random is greater than 65 inches tall is 0.8413.
Step-by-step explanation:
We are given that the heights of 18-year-old men are approximately normally distributed with mean 68 inches and a standard deviation of 3 inches.
Let X = <u><em>heights of 18-year-old men.</em></u>
So, X ~ Normal(
)
The z-score probability distribution for the normal distribution is given by;
Z = 
~ N(0,1)
where, 
= mean height = 68 inches
= standard deviation = 3 inches
Now, the probability that an 18-year-old man selected at random is greater than 65 inches tall is given by = P(X > 65 inches)
P(X > 65 inches) = P( > 
) = P(Z > -1) = P(Z < 1)
= <u>0.8413</u>
The above probability is calculated by looking at the value of x = 1 in the z table which has an area of 0.8413.
