Answer:
P (X ≤ 4)
Step-by-step explanation:
The binomial probability formula can be used to find the probability of a binomial experiment for a specific number of successes. It <em>does not</em> find the probability for a <em>range</em> of successes, as in this case.
The <em>range</em> "x≤4" means x = 0 <em>or</em> x = 1 <em>or </em>x = 2 <em>or</em> x = 3 <em>or</em> x = 4, so there are five different probability calculations to do.
To to find the total probability, we use the addition rule that states that the probabilities of different events can be added to find the probability for the entire set of events only if the events are <em>Mutually Exclusive</em>. The outcomes of a binomial experiment are mutually exclusive for any value of x between zero and n, as long as n and p don't change, so we're allowed to add the five calculated probabilities together to find the total probability.
The probability that x ≤ 4 can be written as P (X ≤ 4) or as P (X = 0 or X = 1 or X = 2 or X = 3 or X = 4) which means (because of the addition rule) that P(x ≤ 4) = P(x = 0) + P(x = 1) + P (x = 2) + P (x = 3) + P (x = 4)
Therefore, the probability of x<4 successes is P (X ≤ 4)
Answer: The first option.
Step-by-step explanation:
If you square you get 
x=0
Answer:
it would be a 25% increase.
Step-by-step explanation:
15-12 / 12 * 100 =
3/12 * 100 = 25
Answer:
46.125 square feet or
sq. feet.
Step-by-step explanation:
The rug is shaped like a parallelogram with a base of
feet. and a height of
feet.
Now, the area of a parallelogram is given by the product of one side as the base and the perpendicular distance of that side from the opposite parallel side as height.
Now, the area of the given parallelogram is (20.5 × 2.25) = 46.125 square feet. (Answer)
Solution :
Let :
X = number of overtime hours
S = total weekly salary
S = 
S = 480 + 18X
E(S) = 

= 750
Mean of S = 750
Var (S) = 
Var(S) = 
= 5184
Variance of S = 5184
The standard deviation equals square root of 5184 = 72