A student takes a multiple-choice test with 10 questions and guesses randomly at each answer. Each question has 5 choices with only one correct choice. (a) (2 points) Find the probability that he/she gets exactly 3 correct answers.

The probability that he/she gets exactly 3 correct answers is 0.2013

Step-by-step explanation:

In this question, we are tasked with calculating the probability that out of 10 questions, a student who is a random guesser, gets exactly 3 correct questions given that the test is a multiple-choice test with 5 options each.

The total number of questions n = 10

Now let the probability of answering one question correctly be p, since there is exactly one correct answer out of 5 options, this probability is equal to 1/5

Let the probability of picking an incorrect option be q, since there are 4 incorrect options, the probability of selecting an incorrect option is 4/5

Now, we compute the probability of getting exactly 3 correct options using the Bernoulli test as follows;

Probability that he/she gets exactly 3 correct answers P(X=3) =nCx × p^x × q^(n-x)

→ 10C3 × (1/5)^3 × (4/5)^7 = 0.2013

let's solve your equation step-by-step.

24−3x=−27

step 1: simplify both sides of the equation.

24−3x=−27

24+−3x=−27

−3x+24=−27

step 2: subtract 24 from both sides.

−3x+24−24=−27−24

−3x=−51

step 3: divide both sides by -3.

−3x

−3

=

−51

−3

x=17

answer:

x=17

step-by-step explanation:

mark brainliest and have a great day!

you didn't give me the choices, so i will just give you the graph so you can look at your choices and choose the right one.