Answer:
- z for 184 = -2.2
- P(z < -2.2) ≈ 1.4%
- z for 200 = -0.6
- P(z < -0.6) ≈ 27.4%
- P(184 < x < 200) ≈ 26.0%
Step-by-step explanation:
Z is computed from ...
... z = (x -μ)/σ
Our lower limit for x is 184, so its z-value is ...
... z = (184 -206)/10 = -22/10 = -2.2
Our upper limit for x is 200, so its z-value is ...
... z = (200 -206)/10 = -6/10 = -0.6
A suitable table or probability calculator can tell you ...
... the percent of area associated with z = -2.2 is about 1.4%. That is, about 1.4% of all values lie below z = -2.2.
... the percent of area associated with z = -0.6 is about 27.4%.
The fraction of expenses between $184 and $200 is then calculated to be ...
... 27.4% - 1.4% = 26.0%
The question is not clear: the fraction of men to everyone in NYC will be 3/7
Answer:
<h2>32/1125</h2>
Step-by-step explanation:
Probability is the likelihood or chance that an event will occur.
Probability = Expected outcome of event/Total outcome.
If a video rental store keeps a list of their top 15 movie rentals each week, the total outcome is 15.
If the list for the week includes 6 action, 4 comedies, 3 dramas, and 2 mysteries and the store manager removes a copy of each of the 15 movies from the shelf, then randomly selects 3 of the 15 to show on the display monitors in the store, the probability that she selected 2 comedies and 1 action movie will be calculated as shown;
Probability of selecting 2 comedies = 4/15*4/15 = 16/225 (Note that the expected outcome in this case is 4).
Probability of selecting 1 action movie = 6/15 = 2/5
<em>Hence, the probability that she selected 2 comedies and 1 action movie will be equivalent to 16/225*2/5 = 32/1125</em>
<em>Note that the rented movies will have to be returned hence reason for the replacement. </em>
