he access code for a safe consists of three digits. Each digit can be any number from 1 through 7​, and each digit can be repeated. Complete parts​ (a) through​ (c).   ​(a) Find the number of possible access codes. ​(b) What is the probability of randomly selecting the correct access code on the first​ try? ​(c) What is the probability of not selecting the correct access code on the first​ try?

You are taking a multiple-choice quiz that consists of 10 questions. Each question has 5possible answers, only one of which is correct. To complete the quiz, you randomly guess theanswer to each question. Find the probability of guessing at least three answers correctly.

5359 pregnant women were tested to see if their babies had Down Syndrome (D). The results of the test are given in the table. Use the values in the table to answer parts a-c.   a. Given that a test result is negative​ (NEG), what is the probability that the fetus actually has Down​ syndrome?   P(D|NEG)=   b.  Given that the fetus has Down​ syndrome, what is the probability that the test result is​ negative?   P(NEG|D)=   c. Is P(D|NEG) equalt to P(NEG|D)?   A. Yes, because​ P(NEG|D) deals with a much larger pool of fetuses than​ P(D|NEG).   B. No, because​ P(NEG|D) deals with a much smaller pool of fetuses than​ P(D|NEG).   C. No, because​ P(NEG|D) deals with a much larger pool of fetuses than​ P(D|NEG).   D. ​Yes, because​ P(NEG|D) deals with a much smaller pool of fetuses than​ P(D|NEG)

Jasmine’s current grades in Algebra I are the following. Jasmine’s grades: Grading System: Tests: 56, 72, 76, and 88 Quizzes: 66, 80, 71, 94 Assignments: 75% Final Exam: 86% Tests: 40% Quizzes: 25% Assignments: 10% Final Exam: 25% a.  What is Jasmine’s current grade in the class? b.  If she scores 10 points higher on the final exam, what would her new average be in the class?