Question: Suppose we have a binomial experiment in which success is defined to be a particular quality or attribute that interests us. (a) Suppose n =44and
Suppose we have a binomial experiment in which success is defined to be a particular quality or attribute that interests us.
(a) Supposen=44andp=0.15. 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---
nq does not exceed
both np and nq exceed
np does not exceed
np exceeds
np and nq do not exceed
nq exceeds
.
What are the values ofpandp? (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
np and nq do not exceed
both np and nq exceed
np exceeds
nq exceeds
nq does not exceed
.
(c) Supposen=53andp=0.21. 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
np does not exceed
nq exceeds
nq does not exceed
np and nq do not exceed
np exceeds
.
What are the values ofpandp? (Use 3 decimal places.)
p=
p=
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