Question

7.4.15-T Compute PO) using the binomial probabilty formula Then determine whether the normal distribution can be used to estimate this probabity If so, approximate PO) using the nomal distribution and compare the result wilth the exact probability n49. p 0.7, and X 38 Can the normal distribution be used to approximate this probability? No. the normal distribution cannot be used because np(1-p) A 10 Yes, the nomal dstnibution can be used because np(1-p)2 10 c Yes, the normal distribution can be used because np(1-p)s 10 DNo. the normal distribution cannot be used because np(1-p)2 10 Select the comrect choice below and fi in any answer boxes in your choice Approximate PO) using the normal distribution A (Round to tfour decimal places as needed POO OB The normal distribution cannot be used

Answer 1

n=	49	p=	0.7000
here mean of distribution=μ=np=		34.3
and standard deviation σ=sqrt(np(1-p))=		3.2078

for normal distribution z score =(X-μ)/σx
therefore from normal approximation of binomial distribution and continuity correction:

probability =

P(37.5<X<38.5)

=

P(1<Z<1.31)=

0.9049-0.8413=

0.0636