Weekly wages at a certain factory are
normally distributed with a mean of
$400 and a standard deviation of $50.
find the probability that a worker
selected at random makes between
$350 and $400.
[? ]%

Step-by-step explanation:

Weekly wages at a certain factory are

normally distributed. The formula for normal distribution is expressed as

z= (x - u)/s

Where

u = mean

s = standard deviation

x = weekly wages

From the given information,

u = 400

s = 50

The probability that a worker

selected at random makes between

$350 and $400 is expressed as

P(350 lesser than or equal to x lesser than or equal to 400)

For x = 350

z = (350 - 400)/50 = -50/50 = -1

z = -1

From the normal distribution table, the corresponding z score is 0.1587

For x = 400

z = (400 - 400)/50 = 0/50 = 0

z = 0

From the normal distribution table, the corresponding z score is 0.5

P(350 lesser than or equal to x lesser than or equal to 400)

= 0.5 - 0.1587 = 0.3413

7. d. 64

8. i. 32

9. c. 125

10. j. none of the above

11. d. 81

12. i. 216

13. e. none of the above

14. g. 240

15. e. none of the above

16. g. 32

17.   e. none of the above