Question

Assume that random guesses are made for seven multiple choice questions on an SAT​ test, so that there are equals 7 ​trials, each with probability of success​ (correct) given by pequals0.5. Find the indicated probability for the number of correct answers. Find the probability that the number x of correct answers is fewer than 4.

Answer 1

Answer:

3 are fewer

Step-by-step explanation:

Answer 2

Answer: 0.5

Step-by-step explanation:

Formula for binomial probability :-

$P(x)=^nC_xp^x(1-p)^{n-x}$, where P(x) is the probability of getting success in x trials , n is the total number of trials and p is the probability of getting success in each trial.

Given : The number of trails : n=7

The probability of success​ for each trial : p=0.5

Now, the probability that the number x of correct answers is fewer than 4 will be :-

$P(x$

Hence, the probability that the number x of correct answers is fewer than 4 = 0.5