Astudent answers all 48 questions on a multiple-choice test by guessing. each question has four possible answers, only one of which is correct. find the probability that the student gets exactly 15 correct answers. use the normal distribution to aproximate the binomial distribution.

0.7967
0.0606
0.0823
0.8577

Correct answer is C

Step-by-step explanation:

First we need to find expected value of the event:

And standard deviation of the event:

Then need to z value of normal distribution function for 15.5 and 14.5 correct answers:

P(15)=0.8790-0.7967=0.0823

Ps. Please find z table at the attachment.

Answercounterclockwise rotation about the origin by 180 degrees followed by reflection about the y-axisexplanationthe given figure has verticesrecall that for counterclockwise rotation about the origin, when we rotate figure pqrs counterclockwise through an angle of 180° about the origin, the coordinates will becomenext, we reflect in the y-axis by negating the x-coordinates of the resulting figure to obtain,therefore the correct answer is c