Question

Answer question 1 & 2 asap please

Question 1 Let Z be a standard normal random variable. Calculate the following probabilities using the calculator provided. Round your responses to at least three decimal places. ? P(Z > -1.46) P(Z < 0.63) - 0 P(-0.84 <2<2.10) - 0

Answer 1

1. $P(z>-1.46)=0.5-P(0<z<-1.46)=0.5-(-0.4279)=0.9279$

$P(z\leq 0.63)=0.5+P(0<z<0.63)=0.5+0.2357=0.7357$

.

$P(-0.84<z<2.10)=P(0<z<2.10)-P(0<z<-0.84)=0.4821-(-0.2995)=0.7816$

C

2. Here we need to find

As distribution is normal we can convert x to z

$P(x<109)=P(z<\frac{109-100}{20})=P(z<0.45)=0.5+P(0<z<0.45)=0.5+0.1736=0.6736$

.

So is the answer