Secure | https/ y.ca/webwork2/W2018STAT213L02/213W18 Assignment 5/6 88 64 88.64

Question

Secure | https/ y.ca/webwork2/W2018STAT213L02/213W18 Assignment 5/6 88 64 88.64 Problem 3 Problem 4 Problem 5 x 0.121 0.121 Problem 7 Problem 8 Problem 9 Problem 10 Problem 11 Problem 12 Problem 13 Problem 14 Problem 15 Problem 16 X Problem 17 Problem 18 Problem 19 Probler, 20 Problem 21 At least one of the answers above is NOT correct (1 point) The professor of a introductory calculus class has stated that, historically, the distribution of tinal exam grades in the course resemble a Normal distribution with a mean final exam mark of =64% and a standard deviation of -12%. If using/tinding z-values, use three decimals. (a) what is the probability that a random chosen tinal exam mark in this course will be at least 74%? Answer to four decimals 0.2023 (b) In order to pass this course, a student must have a final exam m ark of at least 50% what proportion of students will not pass the calculus final exam? Use tour decimals in your answer 0.1217 (c) The top 2% of students writing re final exam wleceive a leter grade of at least an A in the course. To two decimal places, find the minimum final exam mark needed on the cakulus tnal to earn a letter grade of at least an A in the course 88 64 (d) Suppose this professor randomy picked 25 fnal exams, observing the earned mark on each what is the probablity that 3 or these have a final exam grade of less than 50%? use four decimals in your answer 0.1210 Preview My Answers Submit Answers Your score was recorded You have attempted this problem 2 times You received a score or 75% for thes atempt our overall recorded score 75% You have 2 attempts remaining 852 PM

Explanation / Answer

Solution:- Sample n = 25
  
z = (x-m) / s

x = 50, m = 64, s = 12

Z = (50 - 64)/12 = -1.1667

P(X < 50) = 0.1210

=> the binomial probability formula is p(x) = c(n,x) * p^x * q^(n-x)

X = 3 n = 25 , n-x = 22 , p = 0.1210 , q = 0.879

P(4) = 0.2387

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