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Suppose that 10,000U.S.licensed drivers are randomly selected.

a. How many would you expect to be male?

b. Using the table or tree diagram, construct a contingency table of gender versus age group.

c. Using the contingency table, find the probability that out of the age 20-64group, a randomly selected driver is female.

Short Answer

Expert verified

(a) In 10000people, 5140are male.

(b) The contingency table of gender versus age is given below.

(c) The probability that out of the age 20-64age, the randomly selected driver is female is 0.486

Step by step solution

01

Find the no. of male (part a)

Female drivers account for 48.6%of all drivers. 5.03%are under the age of 19, 81.36%are between the ages of 20and 64, and 13.61%are 65and older.

When it involves to male drivers, 5.04%are aged 19and under, 81.43%are aged 20-64, and 13.53%are aged 65and under.

We have 10000drivers who were chosen every which way.

If 48.6%of the drivers are projected to be female, 51.4percent of the drivers are predicted to be male. As a result, if we had10000persons, we anticipate that

51.410010000=5140of them are male.

02

Using table, find the gender versus people (part b)

There are 4860female drivers for5140male drivers.

Let's break down girls into age groups.

5.03%of them are under the age of19:

5.031004860=244.458

=0.05030.486=0.02445=2.445%

81.36percent of peoples are 20-64:

81.361004860=3951.18

0.81360.486=0.3954=39.54%

13.61%of them are 65and above:

13.611004860=661.446

=0.13610.486=0.0661=6.61%

Now, we calculate females by age:

5.04percent of females are 19and under:

5.041005140=259.056

=0.05040.514=0.0259=2.59%

81.43%of them are 20-64:

81.431005140=4185.502

=0.81430.514=0.4186

13.53%are 65and above:

13.531005140=695.442

=0.13530.514=0.1256=13.56%

03

Table diagram (part b)

Table diagram for number of peoples:


<2020-64>64Total
female244.4583951.18661.4464860
male259.0564185.502695.4425140
Total503.5148136.6821356.88810000

Table diagram for percentage:


<2020-64>64Total
female0.02440.39540.06610.486
male0.02590.41860.06950.514
Total0.05030.81410.13561
04

find the probability that between age 20-64 (part c)

Probability that between the age 20-64,

P=0.39540.814=0.486

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