Assume that random guesses are made for eight multiple choice questions on an SAT test, so that there are nequals8 trials, each with probability of success (correct) given by pequals0.65. Find the indicated probability for the number of correct answers. Find the probability that the number x of correct answers is fewer than 4.

The probability of getting x correct answers is given by and P(X < 4) = 0.1061

Step-by-step explanation:

We have trials, each with probability of success given by . Let X be the random variable that represents the number of correct answers gotten by random guesses, then, X has a binomial distribution, and so, , and , this is the probability that the number x of correct answers is fewer than 4.

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.