Answer:

And using the probability mass function we got:
Step-by-step explanation:
Let X the random variable of interest, on this case we now that:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
And we want to find the following probability:

And using the probability mass function we got:
Answer:
x = 
Step-by-step explanation:
Note that
= 14
Expressed in exponent form as
= 14, thus
x = 
Answer:
588,000,000.
Step-by-step explanation:
Inserting commas every 3 digits from the right, we have:
587,881,188 so that is 587 million and 881,000.
As 8 is the next digit after the 587 we add 1 to 587 to make 588 million.
Answer:
x = 1.434 and x=0.232
Step-by-step explanation:
To find the root of the equation stated above we need to:
(1) Write the polynomial equation with zero on the right hand side:
⇒ 
(2) Divide the whole equation by 3
⇒ 
(3) Use the quadratic formula to solve the quadratic equation:
The quadratic formula states that the two solutions for a quadratic equation is given by:
(1)
In this case, a = 1, b = 
Substituiting a, b and c in equation (1) We get:
(1)
The two solutions are:
x = 1.434 and x=0.232