In Exercises 1-4, the sample size n, probability of success p, and probability of failure q are given for a binomial experiment. Determine whether you can use a
normal distribution to approximate the distribution of x.
1. n = 24, p = 0.85, 9 = 0.15
2. n = 15, p = 0.70, q = 0.30
3. n = 18, p = 0.90, q = 0.10
4. n = 20, p = 0.65, q = 0.35

1. No

2. No

3. No

4. Yes

Step-by-step explanation:

Binomial approximation to normal.

The binomial probability distribution has parameters n, p and q.

If

and , you can use the normal approximation.

1. n = 24, p = 0.85, q = 0.15

So no.

2. n = 15, p = 0.70, q = 0.30

So no.

3. n = 18, p = 0.90, q = 0.10

No

4. n = 20, p = 0.65, q = 0.35

Yes

the solution is the point

step-by-step explanation:

we have

> equation a

> equation b

adds equation a and equation b

substitute the value of x in equation b to find the value of y

the solution is the point