Со James is interested in the relationship between weather conditions and whether the downtown train runs on
time. For a year, James records the weather each day as well as whether this train arrives on time or is delayed.
Here are his results:
SA
Weather condition
On-time
Delayed
Total
MY
Sunny
167
3
170
Pro
Cloudy
115
5
120
Rainy
40
15
55
Pro
Snowy
8
12
20
Tea
Total
330
35
365
Find the marginal distribution of weather condition in counts.
Sunny:
Cloudy:
Rainy:

Acompany produces packets of soap powder labeled “giant size 32 ounces.” the actual weight of soap powder in such a box has a normal distribution with a mean of 33 oz and a standard deviation of 0.7 oz. to avoid having dissatisfied customers, the company says a box of soap is considered underweight if it weighs less than 32 oz. to avoid losing money, it labels the top 5% (the heaviest 5%) overweight. how heavy does a box have to be for it to be labeled overweight?