Question

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 = 2.3; σ = 0.38 P(x ≥ 2) =

Answer 1

Solution :

Given that ,

mean = = 2.3

standard deviation = = 0.38

P(x 2) = 1 - P(x   2)

= 1 - P[(x - ) / (2 - 2.3) / 0.38]

= 1 -  P(z - 0.79)   

  Using z table,

= 1 - 0.2148

= 0.7852