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:
Option (A)
Step-by-step explanation:
Heights above the sea level are denoted with positive notations and depths below the sea level with negative.
Height of the highest peak of the mountain = +2228 meters
Lowest point of the lake = -15 meters
Difference between these elevations = 2228 - (-15)
= 2243 meters
Therefore, Option (A) will be the correct option.
Answer:
x = 33
Step-by-step explanation:
Two angles are complementary as the sum of two angles is 90
x + 24 + x = 90 {Combine like terms}
2x + 24 = 90 {Subtract 24 from both sides}
2x = 90 - 24
2x = 66
x = 66/2
x = 33
4 united states customary cups
