PRACTICE ANOTHER question Suppose we have a binomial experiment in which success is defined to be a
Question:
PRACTICE ANOTHER
question
Suppose we have a binomial experiment in which success is defined to be a particular quality or attribute that interests us.
(a)Supposen=32andp=0.19.(For each answer, enter a number. Use 2 decimal places.)
np=
nq=
Can we approximatepby a normal distribution? Why? (Fill in the blank. There are four answer blanks. A blank is represented by _____.)
_____,p_____ be approximated by a normal random variable because _____ _____.
first blank
Yes
No
second blank
can
cannot
third blank
nqdoes not exceed
nqexceeds
npdoes not exceed
npexceeds
bothnpandnqexceed
npandnqdo not exceed
fourth blank (Enter an exact number.)
What are the values ofpandp? (For each answer, enter a number. Use 3 decimal places.)
p=
mu sub p hat =
p=
sigma sub p hat =
(b)Supposen= 25 andp= 0.15.Can we safely approximatepby a normal distribution? Why or why not? (Fill in the blank. There are four answer blanks. A blank is represented by _____.)
_____,p_____ be approximated by a normal random variable because _____ _____.
first blank
Yes
No
second blank
can
cannot
third blank
nqdoes not exceed
nqexceeds
npdoes not exceed
npexceeds
bothnpandnqexceed
npandnqdo not exceed
fourth blank (Enter an exact number.)
(c)Supposen=63andp=0.40.(For each answer, enter a number. Use 2 decimal places.)
np=
nq=
Can we approximatepby a normal distribution? Why? (Fill in the blank. There are four answer blanks. A blank is represented by _____.)
_____,p_____ be approximated by a normal random variable because _____ _____.
first blank
Yes
No
second blank
can
cannot
third blank
nqdoes not exceed
nqexceeds
npdoes not exceed
npexceeds
bothnpandnqexceed
npandnqdo not exceed
fourth blank (Enter an exact number.)
What are the values ofpandp? (For each answer, enter a number. Use 3 decimal places.)
p=
mu sub p hat =
p=
sigma sub p hat =