To solve this problem, we make use of the Binomial
Probability equation which is mathematically expressed as:
P = [n! / r! (n – r)!] p^r * q^(n – r)
where,
n = the total number of gadgets = 4
r = number of samples = 1 and 2 (since not more than 2)
p = probability of success of getting a defective gadget
q = probability of failure = 1 – p
Calculating for p:
p = 5 / 15 = 0.33
So,
q = 1 – 0.33 = 0.67
Calculating for P when r = 1:
P (r = 1) = [4! / 1! 3!] 0.33^1 * 0.67^3
P (r = 1) = 0.3970
Calculating for P when r = 2:
P (r = 2) = [4! / 2! 2!] 0.33^2 * 0.67^2
P (r = 2) = 0.2933
Therefore the total probability of not getting more than
2 defective gadgets is:
P = 0.3970 + 0.2933
P = 0.6903
Hence there is a 0.6903 chance or 69.03% probability of
not getting more than 2 defective gadgets.
Answer: D
Step-by-step explanation:
This question was already asked so I will put the answer here.
The correct answer is letter (B) {1,2,3,4,...,163}.The burj khalifa the tallest building in the world with 163 floors, is having problems with is air conditioning system. It is suspected that thedifference is air pressure between the first floor and the top floor is the problem. normal pressure for the bottom floor is 14.7psi. a building engineer uses the function p to analyse pressure p(f) represents the pressure on each floor, where f is the floor number.
Your answer is <span>0.75 i hope I helped!</span>
Answer:
See below.
Step-by-step explanation:
The given equation is in vertex form. We can convert it to standard form as follows:
y = a(x - h)^2 + k
y = a(x^2 - 2hx + h^2) + k
y = ax^2 - 2ahx + (ah^2 + k) (answer).
