C. It would need to be more than 30 hundredth in order to be greater than 4.3
Complete question :
A test consists of 10 multiple choice questions. Each question has 5 choices. To pass the test, a student must answer at least 6 questions correctly. If a student guesses on each question, the probability of getting it right is 20%. What is the probability that the student will pass the test?
Answer:
0.006370
Step-by-step explanation:
Number of options = 5, with only one correct,hence, p = 1/5 = 0.2
Number of questions = 10
Number of correct answers required to pass = 6
Using binomial distribution formula :
P(x =x) = nCx * p^x * (1 - p)^(n - x)
p = 0.2 ; 1 - 0.2 = 0.8
n = 10 ; x = 6
P(x ≥ 6) = p(6) + p(7) + p(8) + p(9) + p(10)
The formula above can be used to obtain the individual probabilities then taking the sum or we can obtain the solution using a calculator ;
Using a binomial probability distribution calculator with the parameters given :
P(x ≥ 6) = 0.0063693824
= 0.006370 ( 4 decimal places)
2000000 becouse it takes a lot
We know how wide the billboard will be. Therefore, to know how much the original image should be enlarged, you have to divide the final width of the billboard between the current width of the invoice.
Therefore the correct answer is option D.
In order for the bill to cover the billboard, the bill must be expanded by a factor of 7.81 feet in length by inch in length.
