Question

# The distribution of batting averages for players in the National League is approximately normal with a...

The distribution of batting averages for players in the National League is approximately normal with a mean of 0.262 and a standard deviation of 0.039.

a. Find the probability​ (give 3 decimal​ places) that a player has a batting average of 0.300 or​ higher? Show all work and steps.

b. Only​ 25% of players have batting averages above what​ value? Give 3 decimal places. Show all work and steps.

let us consider x is the  batting averages for players in the National League which is normally distributed with

mean () = 0.262

and variance () = 0.039

a) P(x =   = P( = 0.1649

the probability​ that a player has a batting average of 0.300 or​ higher is 0.165

b ) from the z table value corresponding to 0.25 is .5987 so

x = = 0.262 + .5987 * 0.039

x = 0.285

Only​ 25% of players have batting averages above 0.285

#### Earn Coins

Coins can be redeemed for fabulous gifts.