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

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Suppose we have a binomial experiment in which success isdefined to be a particular quality or attribute that interestsus.
(a)
(For each answer, enter a number. Use 2 decimalplaces.)n·p = n·q = Can we approximate p̂ by a normal distribution?Why? (Fill in the blank. There are four answer blanks. A blank isrepresented by _____.)_____, p̂ _____ be approximated by a normalrandom variable because _____ _____.first blank
YesNo
second blank
cancannot
third blank
n·q does notexceedboth n·p and n·q exceed n·p exceedsn·p and n·q donot exceedn·p does notexceedn·q exceeds
fourth blank (Enter an exact number.)What are the valuesof 𝜇p̂ and 𝜎p̂?(For each answer, enter a number. Use 3 decimal places.)𝜇p̂ = mu sub p hat =𝜎p̂ = sigma sub p hat =
(b)
Suppose
Can we safely approximate p̂ by anormal distribution? Why or why not? (Fill in the blank. There arefour answer blanks. A blank is represented by _____.)_____, p̂ _____ be approximated by a normalrandom variable because _____ _____.first blank
YesNo
second blank
cancannot
third blank
n·q does notexceedboth n·p and n·q exceed n·p exceedsn·p and n·q donot exceedn·p does notexceedn·q exceeds
fourth blank (Enter an exact number.)
(c)
Suppose
(For each answer, enter a number. Use 2 decimalplaces.)n·p = n·q = Can we approximate p̂ by a normal distribution?Why? (Fill in the blank. There are four answer blanks. A blank isrepresented by _____.)_____, p̂ _____ be approximated by a normalrandom variable because _____ _____.first blank
YesNo
second blank
cancannot
third blank
n·q does notexceedboth n·p and n·q exceed n·p exceedsn·p and n·q donot exceedn·p does notexceedn·q exceeds
fourth blank (Enter an exact number.)What are the valuesof 𝜇p̂ and 𝜎p̂?(For each answer, enter a number. Use 3 decimal places.)𝜇p̂ = mu sub p hat =𝜎p̂ = sigma sub p hat =