Same strategy as before: transform <em>X</em> ∼ Normal(76.0, 12.5) to <em>Z</em> ∼ Normal(0, 1) via
<em>Z</em> = (<em>X</em> - <em>µ</em>) / <em>σ</em> ↔ <em>X</em> = <em>µ</em> + <em>σ</em> <em>Z</em>
where <em>µ</em> is the mean and <em>σ</em> is the standard deviation of <em>X</em>.
P(<em>X</em> < 79) = P((<em>X</em> - 76.0) / 12.5 < (79 - 76.0) / 12.5)
… = P(<em>Z</em> < 0.24)
… ≈ 0.5948
You need to multiply 1000 by 0.06 (6% in decimal form) to get the answer. When you multiply you get 60 so the answer is 60 students forgot their locker combination.
Answer:
you need at least a score of 60
Step-by-step explanation:
anything 59 and below is 1.95 and every percent higher it adds .5 more
4 divided by 3 = a whole and 3 repeated more than 4 times
(to use the number 4)
:D
