Please answer this correctly
1 answer:
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Answer:
The probability that he answered neither of the problems correctly is 0.0625.
Step-by-step explanation:
We are given that a student ran out of time on a multiple-choice exam and randomly guess the answers for two problems each problem have four answer choices ABCD and only one correct answer.
Let X = <u><em>Number of problems correctly answered by a student</em></u>.
The above situation can be represented through binomial distribution;
where, n = number of trials (samples) taken = 2 problems
r = number of success = neither of the problems are correct
p = probability of success which in our question is probability that
a student answer correctly, i.e; p = = 0.75.
So, X ~ Binom(n = 2, p = 0.75)
Now, the probability that he answered neither of the problems correctly is given by = P(X = 0)
P(X = 0) =
=
= <u>0.0625</u>
The two-point A and B will be -1+2i and -2+2i respectively.
<h3>What is the complex number?</h3>A complex number is one that has both a real and an imaginary component, both of which are preceded by the letter I which stands for the square root of -1.
The complex number is given as;
x+iy
Where x is the real part and iy is the imaginary part.
The two points added to obtained -3 + 4i are;
A = -1+2i
B= -2+2i
The sum of the two points is;
⇒A+B;
⇒-1+2i + -2+2 i
⇒-3 + 4 i
Hence the two-point A and B will be -1+2i and -2+2i respectively.
To learn more about the complex number, refer to the link;
#SPJ1
