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

(a)Supposen=34andp=0.30.(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 _____ _____.

Yes

No

can

cannot

npandnqdo not exceed

bothnpandnqexceed

nqexceeds

npdoes not exceed

npexceeds

nqdoes not exceed

What are the values of_pand_p? (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 _____ _____.

Yes

No

can

cannot

npandnqdo not exceed

bothnpandnqexceed

nqexceeds

npdoes not exceed

npexceeds

nqdoes not exceed

(c)Supposen=61andp=0.24.(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 _____ _____.

npandnqdo not exceed

bothnpandnqexceed

nqexceeds

npdoes not exceed

npexceeds

nqdoes not exceed

What are the values of_pand_p? (For each answer, enter a number. Use 3 decimal places.)

_p=

mu sub p hat =

_p=

sigma sub p hat =