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)?

Answer:
4
9/8
Step-by-step explanation:
Given the fraction a/b, the reciprocal is expressed as 1/(a/b) = b/a
For 1/4;
1/4
= 1÷1/4
= 1 * 4/1
= 4
Hence the reciprocal is 4
b) 8/9
= 1 ÷ 8/9
= 1 * 9/8
= 9/8
Hence the reciprocal of 8/9 is 9/8
Answer:
Absolute Value
Step-by-step explanation:
Absolute Value is very useful in finding the distance between two points on the number line. The distance between any two points a and b in the number line is
|a-b| or |b-a|.
<span>The congruency statement should be that which shows the congruency of the corresponding angle and the sides. In the rotation of the polygon, the angle A is congruent with angle A' still. The same is true for all the angles and sides. The congruency statement is therefore,
ABCD is congruent to A'B'C'D'
The answer to this item is letter A. </span>
600km. Because 100 kilometers an hour times 6 equals a distance of 600km.