Question

Use the frequency table. Find the probability that a person goes to the movies at least 5 times a month. Round to the nearest thousandth.

Answer 1

Answer:

0.407

Step-by-step explanation:

To get "probability that a person goes to the movies at least 5 times a month", we need to find total moviegoers that goes to movies EQUAL TO OR GREATER THAN 5 (since atleast) and divide by total moviegoers.

We will add 163 and 133 because they are people who go 5 or greater times.

Total moviegoers is equal to 728 (given).

Thus we have:

$p(\geq5)=\frac{133+163}{728}\\p(\geq5)=\frac{296}{728}\\p(\geq5)=0.4066$

Rounding to nearest thousandth, it is 0.407

Answer 2

There are 163 people going to the movies 5, 6 or 7 times per month

there are 133 people going more than 7 times

So in total, there are 163+133=196 people going to the movies at least 5 times a month.

In total there are 728 people in the experiment.

P(a person goes at least 5 times per month)=n(people going at least 5 times)/n(people in the experiment)

= 196/728=0.269