A competency test has scores with a mean of 82 and a standard deviation of 2. A histogram of the data shows that the distribution is normal. Between what two values do about 99.7% of the values lie? SHOW YOUR WORK (statistics)

The special case of normal distribution with mean of zero and variance of unity is known as standard normal distribution. The p-value is obtained from standard normal table. The density function of standard normal distribution is:

f

(

x

)

=

1

√

2

π

⋅

e

−

x

2

2

;

−

∞

<

x

<

∞

option (a)

step-by-step explanation:

step 1:   take 2 number whose product equal to 25..

and sum of those two number are -10

step: 2 for example here if we take 5,5 are the number,,

5*5=25

and

5+5=10

but we need -10

so if we take   -5,-5

so -5*-5=25

and -5+(-5)=-10

s0

come the equation

replace -10x by these number

like -5x -5x+25

take common

x(x-5)-5(x-5)=0

(x-5)(x-5)=0