Answered

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.

Answer :

tman160429

Answer:

0.6826894809 (highest precision)

Step-by-step explanation: (Can I get brainliest? Thanks)

1. Normal distribution: Z ~ (0,1^2)

2. Z distribution formula:

[tex]Z=\frac{x-mu}{std}[/tex]

mu = mean

std = standard deviation

3. Use normalcdf function on a graphing calculator (Or it is impossible to do by hand)

P(400≤Z≤350) = normalcdf (lower bound, upper bound, mu, std)

P(400≤Z≤350) = normalcdf (350, 400, 400, 50)

P(400≤Z≤350) ≈ 0.68 ≈ 68%

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