Use the given categorical data to construct the relative frequency distribution.

Natural births randomly selected from four hospitals in a highly populated region occurred on the days of the week? (in the order of Monday through? Sunday) with the frequencies -

52, 64, 70, 59, 60, 43, 42

Does it appear that such births occur on the days of the week with equal? frequency?

Construct the relative frequency distribution.

As we can see the relative frequencies are not too different the average for all the relative frequencies is and the maximum absolute difference |0.143-0.109|= 0.034 is not enough higher to conclude that we have significant difference from the average or expected value.

Step-by-step explanation:

For this case we have the frequency of the number of times that the outcome happens per each day of the week:

Day                  Frequency

Monday               52

Tuesday              64

Wednesday        70  

Thursday             59

Friday                  60

Saturday             43

Sunday                42

We can begin findind the total for the frequency and we got:

52+64+70+59+60+43+42=390

And now we can calculate the relative frequency for each case like this:

As we can see the relative frequencies are not too different the average for all the relative frequencies is and the maximum absolute difference |0.143-0.109|= 0.034 is not enough higher to conclude that we have significant difference from the average or expected value.

In order to test this more formally we can use a chi square test but the problem not ask for this.

answer:   35 % is the probability of a late departure or an early arrival.

step-by-step explanation:

let l represents the late departure and e represents the early departure.

then, according to the question,

p(l) = 12 %,   p(e) = 27 % and = 4 %

and, we have to find out,

but, we know that,

which is the required equation that will use to find the probability of a late departure or an early departure.

therefore,   the probability of a late departure or an early arrival =   35 %

answer: 40392

step-by-step explanation:

10098 x 4 = 40392