This lesson is about using normal approximation. 1) For which of these cases would it be appropriate to us a normal dist

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This lesson is about using normal approximation.
1) For which of these cases would it be appropriate to us a
normal distribution to approximate the binomial distribution? You
may have more than one answer. Show your work.

a. n = 100, p = .01
b. n = 20, p = .6
c. n = 35, p = .7

If x is a binomial variable, write the probability that you would
be looking for after you have applied the continuity correction
factor P( ) for the following conditions for x:

2) x > 7

3) x > 7

4) x = 7

A study in a particular state found that only 5% of the voters have
Doctoral degrees. In a random sample of 200 voters, let x be the
number who have doctoral degrees.

5) Find the mean of x.

6) Find the standard deviation of x.

7) Find the z-score for x > 10.5 using the z-score
formula.

8) What is the probability that more than 10.5 voters in a sample
of 200 voters will hold a Doctoral degree? (Use the z-table linked
for this course.)
https://www.easycalculation.com/statist ... ztable.php

9) What is the probability that at least 10.5 voters in a sample of
200 voters will hold a Doctoral degree? (Use the z-table linked for
this course.)
https://www.easycalculation.com/statist ... ztable.php