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E UTC Learn Q Stats Exam Uniform di o X/-Teke Test: c × \\ G normal ap\\SOLUTION

ID: 3304395 • Letter: E

Question

E UTC Learn Q Stats Exam Uniform di o X/-Teke Test: c × G normal apSOLUTION x Secure! https://utclearn.bla G suppose a × x-G Assume th/X G how to screx aram c s/assessment/take/launch.jsp?course assessment id4026 1&tcourse; id _200518content id_101337 18step null QUESTION 6 1 points Save Answer Find the probability. Assume that x is a binomial random variable with n = 100 and p-0.60. Use a normal approximation to find p(XS60). O 0.0228 0.9772 0.1788 O 0.4772 QUESTION 7 1 points Save Answer Solve the problem. Use the standard normal distribution to find P-2.25

Explanation / Answer

6.
P(X<=60) = ?
For normal approx of binomial we have: Mean = np = 100*.5 = 50
Stdev = sqrt(variance) = sqrt(npq) = sqrt(100*.5*.5)= 5
hence, we normalize using these params: P(X<=60) = P(Z<= 60-50 / 5) = P(Z<=2) = .9772

7.

We have to take help of Z tables to solve this problem:

P(-2.25<Z<-1.25) = P(Z<-1.25) - P(Z<-2.25) = .1056 - .0122 = .0934