How can you rewrite P(z £ –1.75) in order to find the answer? P(z £ 1.75) P(z ³ -1.75) 1 - P(z £ -1.75) 1 - P(z £ 1.75)

Respuesta :

Answer:

Option d is the right answer.

Step-by-step explanation:

Given that X, the life of a certain brand of battery is normally distributed, with mean 128 hours and standard deviation 16 hours.

Required probability = Prob that a battery you buy lasts at most 100 hours

=P(X<100)

Convert x into z

as

Z = [tex]\frac{100-128}{16} \\=-1.75[/tex]

Required proba

= [tex]P(X<100)\\=P(Z<-1.75)\\=1-P(Z>1.75)[/tex]