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

(a)Supposen=36andp=0.26.(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

a) Yes

b) No

second blank

a) can

b) cannot

third blank

a) npdoes not exceed

b) bothnpandnqexceed

a) npexceeds

b) nqexceeds

c) npandnqdo not exceed

d) nqdoes not exceed

fourth blank (Enter an exact number.)

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 _____ _____.

first blank

a) Yes

b) No

second blank

a) can

b) cannot

third blank

a) npdoes not exceed

b) bothnpandnqexceed

a npexceeds

b nqexceeds

c npandnqdo not exceed

d nqdoes not exceed

fourth blank (Enter an exact number.)

(c)Supposen=54andp=0.13.(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

a Yes

b No

second blank

a can

b cannot

third blank

a npdoes not exceed

b bothnpandnqexceed

a npexceeds

b nqexceeds

c npandnqdo not exceed

d nqdoes not exceed

fourth blank (Enter an exact number.)

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 =