Dean Chalmers and Julian Gilbey Solutions for Chapter: The Normal Distribution, Exercise 6: EXERCISE 8B

Find the value of $c$ in the following where $Z$ has a normal distribution with $\mu =0$ and ${\sigma }^2=1$.

$P(1<Z<c)=0.1408$

(Write answer up to $1$ decimal place)

Find the value of $c$ in the following where $Z$ has a normal distribution with $\mu =0$ and ${\sigma }^2=1$.

$P(0.109<Z<c)=0.35$

(Write answer up to $3$ decimal place)

Find the value of $c$ in the following where $Z$ has a normal distribution with $\mu =0$ and ${\sigma }^2=1$.

$P(c<Z<2)=0.6687$

(Write answer up to $3$ decimal place)

Find the value of $c$ in the following where $Z$ has a normal distribution with $\mu =0$ and ${\sigma }^2=1$.

$P(c<Z<1.85)=0.9516$

Find the value of $c$ in the following where $Z$ has a normal distribution with $\mu =0$ and ${\sigma }^2=1$.

$P(-1.221<Z<c)=0.888$

Find the value of $c$ in the following where $Z$ has a normal distribution with $\mu =0$ and ${\sigma }^2=1$.

$P(-0.674<Z<c)=0.725$

Find the value of $c$ in the following where $Z$ has a normal distribution with $\mu =0$ and ${\sigma }^2=1$.

$P(-2.63<Z<c)=0.6861$

(write answer up to $3$ decimal places)

Find the value of $c$ in the following where $Z$ has a normal distribution with $\mu =0$ and ${\sigma }^2=1$.

$P(-2.7<Z<c)=0.0252$

(write answer up to one decimal place)