Suppose we have a binomial experiment in which success is defined to be a particular quality or attribute that interests us.

(a) Supposen=41andp=0.29. Can we approximatepby a normal distribution? Why? (Use 2 decimal places.)

np=nq=

---Select---

Yes

No

,p

---Select---

cannot

can

be approximated by a normal random variable because

---Select---

np exceeds

nq does not exceed

nq exceeds

both np and nq exceed

np and nq do not exceed

np does not exceed

.

What are the values of_pand_p? (Use 3 decimal places.)_p=_p=

(b) Supposen= 25 andp= 0.15. Can we safely approximatepby a normal distribution? Why or why not?

---Select---

Yes

No

,p

---Select---

can

cannot

be approximated by a normal random variable because

---Select---

np does not exceed

nq exceeds

np and nq do not exceed

np exceeds

both np and nq exceed

nq does not exceed

.

(c) Supposen=60andp=0.34. Can we approximatepby a normal distribution? Why? (Use 2 decimal places.)

np=nq=

---Select---

Yes

No

,p

---Select---

can

cannot

be approximated by a normal random variable because

---Select---

both np and nq exceed

nq exceeds

np does not exceed

np and nq do not exceed

np exceeds

nq does not exceed

.

What are the values of_pand_p? (Use 3 decimal places.)_p=_p=