Suppose we have a binomial experiment in which success isdefined to be a particular quality or attribute that interests us.(a) Suppose n = 45 and p = 0.24. (For each answer, enter a number.Use 2 decimal places.) n·p = n·q = Can we approximate p? by anormal distribution? Why? (Fill in the blank. There are four answerblanks. A blank is represented by _____.) _____, p? _____ beapproximated by a normal random variable because _____ _____. firstblank Yes No second blank can cannot third blank n·p exceeds n·pand n·q do not exceed both n·p and n·q exceed n·p does not exceedn·q exceeds n·q does not exceed fourth blank (Enter an exactnumber.) What are the values of ?p? and ?p?? (For each answer,enter a number. Use 3 decimal places.) ?p? = mu sub p hat = ?p? =sigma sub p hat = (b) Suppose n = 25 and p = 0.15. Can we safelyapproximate p? by a normal distribution? Why or why not? (Fill inthe blank. There are four answer blanks. A blank is represented by_____.) _____, p? _____ be approximated by a normal random variablebecause _____ _____. first blank Yes No second blank can cannotthird blank n·p exceeds n·p and n·q do not exceed both n·p and n·qexceed n·p does not exceed n·q exceeds n·q does not exceed fourthblank (Enter an exact number.) (c) Suppose n = 45 and p = 0.14.(For each answer, enter a number. Use 2 decimal places.) n·p = n·q= Can we approximate p? by a normal distribution? Why? (Fill in theblank. There are four answer blanks. A blank is represented by_____.) _____, p? _____ be approximated by a normal random variablebecause _____ _____. first blank Yes No second blank can cannotthird blank n·p exceeds n·p and n·q do not exceed both n·p and n·qexceed n·p does not exceed n·q exceeds n·q does not exceed fourthblank (Enter an exact number.) What are the values of ?p? and ?p??(For each answer, enter a number. Use 3 decimal places.) ?p? = musub p hat = ?p? = sigma sub p hat =