A multiple-choice examination consists of 95 questions, each having possible choices a, b, c, and d. Approximate the probability that a student will get at most 24 answers correct if he randomly guesses at each answer. (Note that, if he randomly guesses at each answer, then the probability that he gets any one answer correct is 0.25.) Use the nomal approximation to the binomial with a correction for continuity. Round your answer to at least three decimal places. Do not round any intermediate steps. (If necessary, consult a list of formulas.)

For Discrete Math

Assume that when an adult is randomly​ selected, the probability that they do not require vision correction is 18​%.  If 7 adults are randomly​ selected, find the probability that exactly 2 of them do not require a vision correction. if  adults are randomly selected the probability that exactly 2 of them do not require a vision correction is _________.  (ROUND TO THREE DECIMAL PLACES AS NEEDED)

Suppose that 62% of all college seniors have a job prior to graduation. If a random sample of 100 college seniors is taken, approximate the probability that at most 63 have a job prior to graduation. Use the normal approximation to the binomial with a correction for continuity. Round your answer to at least three decimal places. Do not round any intermediate steps. (If necessary, consult a list of formulas.) 0 X S

A recent study has shown that 68% of parents allow their children to ride their bicycles without using a helmet.   If we randomly select 25 parents, what is the probability that exactly 18 of the parents allow their children to ride their bicycles without using a helmet? Compute your solution as a decimal and round your final answer to four decimal places. P(exactly 18) =  __________

A researcher is interested in the reaction time of college students under high cognitive load. The students are asked to remember a random number sequence. While trying to remember the number sequence, the students are instructed to press the space key after they hear a tone on the computer. The researcher measures the time between when the tone occurs and when the space key is pressed. The variable being measured is a ___________ variable.