Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) μ = 14.6; σ = 3.8

0.0003

Step-by-step explanation:

for the indicated probability

we need to find : Probability (P) ( X > or = 30) = 1 - P( X < 30 )

z-score(30) = (30 - 14.6)/3.8 = 4.053

looking in z-tables for the corresponding probability

P(x<30) = 0.99997

indicated probability

P ( X > or = 30) = 1 - 0.99997 = 0.0003 (answer)

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2